???global.info.a_carregar???
After his undergraduate studies at the University of Warwick, Prof. David Hilditch completed his PhD at the University of Southampton early in 2008. After postdoctoral work at the University of Jena, he won the FCT Investigator grant and moved to Lisbon, where he is now Assistant Professor at Instituto Superior Técnico. David also holds an adjunct Professor position at in Inter-University Centre for Astronomy and Astrophysics in India. David has published around 40 articles in high-impact journals, supervised 3 PhD thesis(es) and co-supervised 4 more, and supervised a number of MSc, with one ongoing at IST. He participates and/or participated as Principal investigator (or Co-PI) in 2 projects. David has given more than 60 invited talks at conferences, seminars and advanced international schools (too many to be practically listed individually). David works on the physics of gravitation, and in particular on strong-field gravity as described by general relativity. As a numerical relativist he is furthermore knowledgeable in the theory of partial differential equations, numerical analysis and high-performance computing, and related fields.
Read full resume ↓
Identification

Personal identification

Full name
David Matthew Hilditch

Citation names

  • Hilditch, David

Author identifiers

Ciência ID
1413-BB2A-3105
ORCID iD
0000-0001-9960-5293

Knowledge fields

  • Exact Sciences - Physical Sciences
  • Exact Sciences - Mathematics
  • Exact Sciences - Physical Sciences

Languages

Language Speaking Reading Writing Listening Peer-review
English Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
German Upper intermediate (B2) Upper intermediate (B2) Intermediate (B1) Upper intermediate (B2)
Portuguese Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1)
Education
Degree Classification
2008/02/11
Concluded
 Doctor of Philosophy (Doctor of Philosophy)
University of Southampton, United Kingdom
"Asymptotically null slices in numerical relativity" (THESIS/DISSERTATION)
 N/A
2004/08/01
Concluded
 Master of Physics (Master)
University of Warwick, United Kingdom
 MPhys (Hons)
Affiliation

Science

Category
Host institution 		Employer
2017/01/01 - 2021/12/31 Principal Investigator (Research) Universidade de Lisboa Centro Multidisciplinar de Astrofísica, Portugal
2008/02/01 - 2017/01/01 Researcher (Research) Friedrich-Schiller-Universität Jena, Germany

Teaching in Higher Education

Category
Host institution 		Employer
2021/07/01 - Current Assistant Professor (University Teacher) Universidade de Lisboa Instituto Superior Técnico, Portugal
Instituto Superior Técnico Departamento de Física, Portugal
2016/09/01 - Current Invited Assistant Professor (University Teacher) Inter-University Centre for Astronomy and Astrophysics, India
Inter-University Centre for Astronomy and Astrophysics, India
Projects

Contract

Designation Funders
2017/01/01 - 2021/12/31 Critical Collapse in General Relativity
IF/00577/2015/CP1272/CT0004
IF/00577/2015, IF/00729/2015
Principal investigator
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
 Associação para a Inovação e Desenvolvimento da FCT
Concluded
2018/01/01 - 2020/12/31 AWAKEN
PTDC/MAT-APL/30043/2017
Principal investigator
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
 Associação para a Inovação e Desenvolvimento da FCT
Concluded
Outputs

Publications

Journal article
  1. Christian Peterson; David Hilditch. "Strong hyperboloidal compactification for the spherical dual-foliation-generalized harmonic gauge formulation of GR". Physical Review D (2025): https://doi.org/10.1103/5wvv-dhkb.
    10.1103/5wvv-dhkb
  2. Miguel Duarte; Justin C Feng; Edgar Gasperín; David Hilditch. "An asymptotic systems approach for the good–bad–ugly model with application to general relativity". Classical and Quantum Gravity (2025): https://doi.org/10.1088/1361-6382/ade10f.
    10.1088/1361-6382/ade10f
  3. Christian Peterson; Shalabh Gautam; Alex Vañó-Viñuales; David Hilditch. "Spherical evolution of the generalized harmonic gauge formulation of general relativity on compactified hyperboloidal slices". Physical Review D (2024): https://doi.org/10.1103/PhysRevD.110.124033.
    10.1103/PhysRevD.110.124033
  4. Carsten Gundlach; David Hilditch; Thomas W. Baumgarte. "Simulations of gravitational collapse in null coordinates. I. Formulation and weak-field tests in generalized Bondi gauges". Physical Review D (2024): https://doi.org/10.1103/PhysRevD.110.024018.
    10.1103/PhysRevD.110.024018
  5. Daniela Cors; Sarah Renkhoff; Hannes R. Rüter; David Hilditch; Bernd Brügmann. "Formulation improvements for critical collapse simulations". Physical Review D (2023): https://doi.org/10.1103/PhysRevD.108.124021.
    10.1103/PhysRevD.108.124021
  6. Thanasis Giannakopoulos; Nigel T. Bishop; David Hilditch; Denis Pollney; Miguel Zilhão. "Numerical convergence of model Cauchy-characteristic extraction and matching". Physical Review D (2023): https://doi.org/10.1103/PhysRevD.108.104033.
    10.1103/PhysRevD.108.104033
  7. Thomas Baumgarte; Bernd Bruegmann; Daniela Cors Agulló; Carsten Gundlach; David Hilditch; Anton Khirnov; Tomáš Ledvinka; Sarah Renkhoff; Isabel Suárez Fernández. "Critical Phenomena in the Collapse of Gravitational Waves". Physical Review Letters (2023): http://dx.doi.org/10.1103/physrevlett.131.181401.
    10.1103/physrevlett.131.181401
  8. Sarah Renkhoff; Daniela Cors Agulló; David Hilditch; Bernd Bruegmann. "Adaptive hp refinement for spectral elements in numerical relativity". Physical Review D (2023): http://dx.doi.org/10.1103/physrevd.107.104043.
    10.1103/physrevd.107.104043
  9. Thomas Baumgarte; Carsten Gundlach; David Hilditch. "Critical phenomena in the collapse of quadrupolar and hexadecapolar gravitational waves". Physical Review D (2023): http://dx.doi.org/10.1103/physrevd.107.084012.
    10.1103/physrevd.107.084012
  10. Vitor Cardoso; David Hilditch; Krinio Marouda; José Natário; Ulrich Sperhake. "Curvature and dynamical spacetimes: can we peer into the quantum regime?". Classical and Quantum Gravity (2023): https://doi.org/10.1088/1361-6382/acb9cd.
    10.1088/1361-6382/acb9cd
  11. Miguel Duarte; Justin Feng; Edgar Gasperín; David Hilditch. "The good-bad-ugly system near spatial infinity on flat spacetime". Classical and Quantum Gravity (2023): https://doi.org/10.1088/1361-6382/acb47e.
    10.1088/1361-6382/acb47e
  12. Miguel Duarte; Justin C Feng; Edgar Gasperín; David Hilditch. "Regularizing dual-frame generalized harmonic gauge at null infinity". Classical and Quantum Gravity (2023): https://doi.org/10.1088/1361-6382/aca383.
    10.1088/1361-6382/aca383
  13. Tiago V. Fernandes; David Hilditch; José P. S. Lemos; Vítor Cardoso. "Normal modes of Proca fields in AdS spacetime". General Relativity and Gravitation (2023): https://doi.org/10.1007/s10714-022-03052-w.
    10.1007/s10714-022-03052-w
  14. Miguel Duarte; Justin Feng; Edgar Gasperín; David Hilditch. "Peeling in generalized harmonic gauge". Classical and Quantum Gravity (2022): https://doi.org/10.1088/1361-6382/ac89c5.
    10.1088/1361-6382/ac89c5
  15. Thomas Baumgarte; David Hilditch. "Shock-avoiding slicing conditions: Tests and calibrations". Physical Review D (2022): http://dx.doi.org/10.1103/physrevd.106.044014.
    10.1103/physrevd.106.044014
  16. Isabel Suárez Fernández; Sarah Renkhoff; Daniela Cors Agulló; Bernd Bruegmann; David Hilditch. "Evolution of Brill waves with an adaptive pseudospectral method". Physical Review D (2022): http://dx.doi.org/10.1103/physrevd.106.024036.
    10.1103/physrevd.106.024036
  17. Tiago V. Fernandes; David Hilditch; José P. S. Lemos; Vitor Cardoso. "Quasinormal modes of Proca fields in a Schwarzschild-AdS spacetime". Physical Review D (2022): https://doi.org/10.1103/PhysRevD.105.044017.
    10.1103/PhysRevD.105.044017
  18. Giannakopoulos, Thanasis; Bishop, Nigel T.; Hilditch, David; Pollney, Denis; Zilhão, Miguel; Thanasis Giannakopoulos; Nigel T. Bishop; Hilditch, David; Miguel Zilhao. "Gauge structure of the Einstein field equations in Bondi-like coordinates". Physical Review D (2022): http://hdl.handle.net/10773/35222.
    Submitted • 10.1103/PhysRevD.105.084055
  19. Isabel Suárez Fernández; Thomas Baumgarte; David Hilditch. "Comparison of linear Brill and Teukolsky waves". Physical Review D (2021): http://dx.doi.org/10.1103/physrevd.104.124036.
    10.1103/physrevd.104.124036
  20. Peng Zhao; David Hilditch; Juan Antonio Valiente Kroon. "The conformal Einstein field equations and the local extension of future null infinity". Journal of Mathematical Physics (2021): http://dx.doi.org/10.1063/5.0056969.
    10.1063/5.0056969
  21. Miguel Duarte; Justin Feng; Edgar Gasperín; David Hilditch. "High order asymptotic expansions of a good–bad–ugly wave equation". Classical and Quantum Gravity (2021): https://doi.org/10.1088/1361-6382/abfed2.
    10.1088/1361-6382/abfed2
  22. Shalabh Gautam; Alex Vañó-Viñuales; David Hilditch; Sukanta Bose. "Summation by parts and truncation error matching on hyperboloidal slices". Physical Review D (2021): https://doi.org/10.1103/PhysRevD.103.084045.
    10.1103/PhysRevD.103.084045
  23. Maitraya K. Bhattacharyya; David Hilditch; K. Rajesh Nayak; Sarah Renkhoff; Hannes R. Rüter; Bernd Brügmann. "Implementation of the dual foliation generalized harmonic gauge formulation with application to spherical black hole excision". Physical Review D (2021): https://doi.org/10.1103/PhysRevD.103.064072.
    10.1103/PhysRevD.103.064072
  24. Isabel Suárez Fernández; Rodrigo Vicente; David Hilditch. "Semilinear wave model for critical collapse". Physical Review D (2021): https://doi.org/10.1103/PhysRevD.103.044016.
    10.1103/PhysRevD.103.044016
  25. Thanasis Giannakopoulos; David Hilditch; Miguel Zilhão. "Hyperbolicity of general relativity in Bondi-like gauges". Physical Review D (2020): https://doi.org/10.1103/PhysRevD.102.064035.
    10.1103/PhysRevD.102.064035
  26. David Hilditch; Juan Antonio Valiente Kroon; Peng Zhao. "Improved existence for the characteristic initial value problem with the conformal Einstein field equations". General Relativity and Gravitation (2020): http://dx.doi.org/10.1007/s10714-020-02734-7.
    10.1007/s10714-020-02734-7
  27. Maitraya K. Bhattacharyya; David Hilditch; K. Rajesh Nayak; Hannes R. Rüter; Bernd Brügmann; Hilditch, David. "Analytical and numerical treatment of perturbed black holes in horizon-penetrating coordinates". Physical Review D (2020): https://doi.org/10.1103/PhysRevD.102.024039.
    10.1103/PhysRevD.102.024039
  28. Miguel Duarte; David Hilditch. "Conformally flat slices of asymptotically flat spacetimes". Classical and Quantum Gravity (2020): https://doi.org/10.1088/1361-6382/ab852b.
    10.1088/1361-6382/ab852b
  29. Hilditch, David. "The hyperboloidal numerical evolution of a good-bad-ugly wave equation". Classical and Quantum Gravity (2020): http://dx.doi.org/10.1088/1361-6382/ab5f21.
    10.1088/1361-6382/ab5f21
  30. Hilditch, David. "Critical phenomena in gravitational collapse with two competing massless matter fields". Physical Review D (2019): http://dx.doi.org/10.1103/physrevd.100.104010.
    10.1103/physrevd.100.104010
  31. Hilditch, David. "Critical Phenomena in the Gravitational Collapse of Electromagnetic Waves". Physical Review Letters (2019): http://dx.doi.org/10.1103/physrevlett.123.171103.
    10.1103/physrevlett.123.171103
  32. Edgar Gasperín; David Hilditch. "The weak null condition in free-evolution schemes for numerical relativity: dual foliation GHG with constraint damping". Classical and Quantum Gravity 36 19 (2019): 195016-195016. https://doi.org/10.1088/1361-6382/ab3f0b.
    10.1088/1361-6382/ab3f0b
  33. Hilditch, David. "Hyperbolicity of divergence cleaning and vector potential formulations of general relativistic magnetohydrodynamics". Physical Review D (2019): http://dx.doi.org/10.1103/physrevd.99.104034.
    10.1103/physrevd.99.104034
  34. Hilditch, David. "Hyperbolic relaxation method for elliptic equations". Physical Review D (2018): http://dx.doi.org/10.1103/physrevd.98.084044.
    10.1103/physrevd.98.084044
  35. Hilditch, David. "Revisiting hyperbolicity of relativistic fluids". Physical Review D (2018): http://dx.doi.org/10.1103/physrevd.97.123009.
    10.1103/physrevd.97.123009
  36. David Hilditch; Enno Harms; Marcus Bugner; Hannes Rüter; Bernd Brügmann. "The evolution of hyperboloidal data with the dual foliation formalism: mathematical analysis and wave equation tests". Classical and Quantum Gravity 35 5 (2018): 055003-055003. https://doi.org/10.1088/1361-6382/aaa4ac.
    10.1088/1361-6382/aaa4ac
  37. David Hilditch; Milton Ruiz. "The initial boundary value problem for free-evolution formulations of general relativity". Classical and Quantum Gravity 35 1 (2018): 015006-015006. https://doi.org/10.1088/1361-6382/aa96c6.
    10.1088/1361-6382/aa96c6
  38. David Hilditch; Andreas Weyhausen; Bernd Brügmann. "Evolutions of centered Brill waves with a pseudospectral method". Physical Review D 96 10 (2017): https://doi.org/10.1103%2Fphysrevd.96.104051.
    10.1103/physrevd.96.104051
  39. David Hilditch; Ronny Richter. "Hyperbolicity of physical theories with application to general relativity". Physical Review D 94 4 (2016): https://doi.org/10.1103%2Fphysrevd.94.044028.
    10.1103/physrevd.94.044028
  40. David Hilditch; Andreas Weyhausen; Bernd Brügmann. "Pseudospectral method for gravitational wave collapse". Physical Review D 93 6 (2016): https://doi.org/10.1103%2Fphysrevd.93.063006.
    10.1103/physrevd.93.063006
  41. Alex Vañó-Viñuales; Sascha Husa; David Hilditch. "Spherical symmetry as a test case for unconstrained hyperboloidal evolution". Classical and Quantum Gravity 32 17 (2015): 175010-175010. https://doi.org/10.1088%2F0264-9381%2F32%2F17%2F175010.
    10.1088/0264-9381/32/17/175010
  42. David Hilditch; Ronny Richter. "Hyperbolicity of high-order systems of evolution equations". Journal of Hyperbolic Differential Equations 12 01 (2015): 1-35. https://doi.org/10.1142%2Fs0219891615500010.
    10.1142/s0219891615500010
  43. Térence Delsate; David Hilditch; Helvi Witek. "Initial value formulation of dynamical Chern-Simons gravity". Physical Review D 91 2 (2015): https://doi.org/10.1103%2Fphysrevd.91.024027.
    10.1103/physrevd.91.024027
  44. David Hilditch; Thomas W. Baumgarte; Andreas Weyhausen; Tim Dietrich; Bernd Brügmann; Pedro J. Montero; Ewald Müller. "Collapse of nonlinear gravitational waves in moving-puncture coordinates". Physical Review D 88 10 (2013): https://doi.org/10.1103%2Fphysrevd.88.103009.
    10.1103/physrevd.88.103009
  45. David Hilditch; Sebastiano Bernuzzi; Marcus Thierfelder; Zhoujian Cao; Wolfgang Tichy; Bernd Brügmann. "Compact binary evolutions with the Z4c formulation". Physical Review D 88 8 (2013): https://doi.org/10.1103%2Fphysrevd.88.084057.
    10.1103/physrevd.88.084057
  46. DAVID HILDITCH. "AN INTRODUCTION TO WELL-POSEDNESS AND FREE-EVOLUTION". International Journal of Modern Physics A 28 22n23 (2013): 1340015-1340015. https://doi.org/10.1142%2Fs0217751x13400150.
    10.1142/s0217751x13400150
  47. Zhoujian Cao; David Hilditch. "Numerical stability of the Z4c formulation of general relativity". Physical Review D 85 12 (2012): https://doi.org/10.1103%2Fphysrevd.85.124032.
    10.1103/physrevd.85.124032
  48. Andreas Weyhausen; Sebastiano Bernuzzi; David Hilditch. "Constraint damping for the Z4c formulation of general relativity". Physical Review D 85 2 (2012): https://doi.org/10.1103%2Fphysrevd.85.024038.
    10.1103/physrevd.85.024038
  49. David Hilditch; Ronny Richter. "Hyperbolic formulations of general relativity with Hamiltonian structure". Physical Review D 86 12 (2012): https://doi.org/10.1103%2Fphysrevd.86.123017.
    10.1103/physrevd.86.123017
  50. Ronny Richter; David Hilditch. "Hyperbolicity of Hamiltonian formulations in General Relativity". Journal of Physics: Conference Series 314 (2011): 012102-012102. https://doi.org/10.1088%2F1742-6596%2F314%2F1%2F012102.
    10.1088/1742-6596/314/1/012102
  51. Helvi Witek; David Hilditch; Ulrich Sperhake. "Stability of the puncture method with a generalized Baumgarte-Shapiro-Shibata-Nakamura formulation". Physical Review D 83 10 (2011): https://doi.org/10.1103%2Fphysrevd.83.104041.
    10.1103/physrevd.83.104041
  52. Marcus Thierfelder; Sebastiano Bernuzzi; David Hilditch; Bernd Brügmann; Luciano Rezzolla. "Trumpet solution from spherical gravitational collapse with puncture gauges". Physical Review D 83 6 (2011): https://doi.org/10.1103%2Fphysrevd.83.064022.
    10.1103/physrevd.83.064022
  53. Milton Ruiz; David Hilditch; Sebastiano Bernuzzi. "Constraint preserving boundary conditions for the Z4c formulation of general relativity". Physical Review D 83 2 (2011): https://doi.org/10.1103%2Fphysrevd.83.024025.
    10.1103/physrevd.83.024025
  54. Sebastiano Bernuzzi; David Hilditch. "Constraint violation in free evolution schemes: Comparing the BSSNOK formulation with a conformal decomposition of the Z4 formulation". Physical Review D 81 8 (2010): https://doi.org/10.1103%2Fphysrevd.81.084003.
    10.1103/physrevd.81.084003
  55. David Garfinkle; Carsten Gundlach; David Hilditch. "Comments on Bona–Massó-type slicing conditions in long-term black hole evolutions". Classical and Quantum Gravity 25 7 (2008): 075007-075007. https://doi.org/10.1088%2F0264-9381%2F25%2F7%2F075007.
    10.1088/0264-9381/25/7/075007
  56. Gioel Calabrese; Carsten Gundlach; David Hilditch. "Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation tests". Classical and Quantum Gravity 23 15 (2006): 4829-4845. https://doi.org/10.1088%2F0264-9381%2F23%2F15%2F004.
    10.1088/0264-9381/23/15/004
Magazine article
  1. Brito, Richard; Cardoso, Vitor; Duque, Francisco; Gasperin, Edgar; Hilditch, David; Raposo, Guilherme; Vañó-Viñuales, Alex. "Exploring strong gravity with GRIT", Revista Técnica 505 Edition, aeist, 2023
Preprint
  1. Krinio Marouda; Daniela Cors; Hannes R. Rüter; Florian Atteneder; David Hilditch. "Twist-free axisymmetric critical collapse of a complex scalar field". 2024. https://arxiv.org/abs/2402.06724.
    10.48550/ARXIV.2402.06724
  2. Atteneder, Florian; Rüter, Hannes R.; Cors, Daniela; Rosca-Mead, Roxana; Hilditch, David; Brügmann, Bernd. "Boson star head-on collisions with constraint-violating and constraint-satisfying initial data". 2023. https://arxiv.org/abs/2311.16251.
  3. Peterson, Christian; Gautam, Shalabh; Rainho, Inês; Vañó-Viñuales, Alex; Hilditch, David. Corresponding author: Peterson, Christian. "3D Evolution of a Good-Bad-Ugly-F Model on Compactified Hyperboloidal Slices". 2023. https://arxiv.org/abs/2303.16190.
    10.1103/physrevd.108.024067
  4. Peng Zhao; David Hilditch; Juan A. Valiente Kroon. "Trapped surface formation for the Einstein-Scalar system". 2023. https://arxiv.org/abs/2304.01695.
    10.48550/ARXIV.2304.01695

Other

Other output
  1. Revisiting the characteristic initial value problem for the vacuum Einstein field equations. 2019. Hilditch, David.
    10.1007/s10714-020-02747-2
  2. Dual Foliation Formulations of General Relativity. 2015. Hilditch, David.
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2022/10/01 - 2025/09/30 Numerical Evolutions of Extreme Spacetimes in General Relativity
Supervisor
 Physics (PhD)
Universidade de Lisboa Centro Multidisciplinar de Astrofísica, Portugal
2021/10/01 - 2025/09/30 3D Hyperboloidal Numerical Relativity
Supervisor
 Physics (PhD)
Universidade de Lisboa Centro Multidisciplinar de Astrofísica, Portugal
2022/03/01 - 2022/09/30 Linearized GR on Hyperboloidal Slices
Supervisor
 Physics (Master)
Universidade de Lisboa Centro Multidisciplinar de Astrofísica, Portugal
2018/04/01 - 2022/06/30 Asymptotic expansions near infinity in General Relativity
Co-supervisor
 Mathematics (PhD)
Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Portugal
2018/04/01 - 2022/06/30 Critical Phenomena in Gravitational Collapse Beyond Spherical Symmetry
Supervisor
 Physics (PhD)
Universidade de Lisboa Centro Multidisciplinar de Astrofísica, Portugal
2018/04/01 - 2022/06/30 Hyperbolicity of General Relativity in Bondi-Like Gauges
Co-supervisor
 Physics (PhD)
Universidade de Lisboa Centro Multidisciplinar de Astrofísica, Portugal
2017/01/01 - 2021/12/01 Towards Einstein Field Equations in Spherical Symmetry on Hyperboloidal Slices: A Generalized Harmonic Gauge Formalism
Co-supervisor
 Physics (PhD)
Inter-University Centre for Astronomy and Astrophysics, India
2017/01/01 - 2021/06/30 Towards Non-Linear Perturbations of Black Holes in Horizon-Penetrating Coordinates
Co-supervisor
 Physics (PhD)
Indian Institute of Science Education and Research Kolkata, India