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Special relativity

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Intern. Soc. General Relativity Gravitation

SF2A and SFP

Éric Gourgoulhon Researcher at CNRS (Directeur de recherche) Laboratoire d'étude de l'Univers et des phénomènes eXtrêmes

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Lectures:

• Geometry and physics of black holes [pdf] [course page]
• Introduction to general relativity (in French) [pdf] [course page]
• An introduction to relativistic hydrodynamics [pdf] [publisher page]
• 3+1 Formalism and Bases of Numerical Relativity [pdf] [preprint]
• Construction of initial data for 3+1 numerical relativity [pdf] [publisher page]
• An introduction to the theory of rotating relativistic stars [pdf] [preprint]

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Books:

• Special Relativity in General Frames
• 3+1 Formalism in General Relativity
• Relativité restreinte (in French)

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Recent works (since 2018)

All these works are performed in collaboration with friends and colleagues

• Differential geometry with SageMath:

  • Symbolic tensor calculus on manifolds: a SageMath implementation, Les cours du CIRM 6, I (2018) [pdf] [publisher page]
  • SageManifolds home page

• Black holes and gravitational waves:

  • Horizon multipole moments of a Kerr black hole (2026) [arXiv:2602.05823]
  • Jet launching from the Kerr black hole magnetosphere: An electrogeodesic approach (2026) [arXiv:2601.05048]
  • Black hole photon ring beyond General Relativity: an integrable parametrization, Journal of Cosmology and Astroparticle Physics 10(2025), 012 (2025) [pdf] [publisher page] [arXiv:2506.09882]
  • Peeling at extreme black hole horizons, Journal of Hyperbolic Differential Equations 22 29 (2025) [pdf] [publisher page] [arXiv:2303.14574]
  • GYOTO 2.0: a polarized relativistic ray-tracing code, Classical and Quantum Gravity 41, 095010 (2024) [pdf] [publisher page] [arXiv:2311.18802]
  • High precision numerical sequences of rotating hairy black holes, Physical Review D 107, 084047 (2023) [pdf] [publisher page] [arXiv:2302.06659]
  • Equatorial orbits and imaging of hairy cubic Galileon black holes, Physical Review D 104, 124034 (2021) [pdf] [publisher page] [arXiv:2103.01827]
  • Geometric modeling of M87* as a Kerr black hole or a non-Kerr compact object, Astronomy and Astrophysics 646, A37 (2021) [pdf] [publisher page] [arXiv:2002.09226]
  • A Galactic centre gravitational-wave Messenger, Scientific Reports 10, 7054 (2020) [pdf] [publisher page] [arXiv:1903.10698]
  • Hairy rotating black holes in cubic Galileon theory, Classical and Quantum Gravity 37, 035007 (2020) [pdf] [publisher page] [arXiv:1910.08451]
  • Gravitational waves from bodies orbiting the Galactic Center black hole and their detectability by LISA, Astronomy and Astrophysics 627, A92 (2019) [pdf] [publisher page]
  • Imaging a non-singular rotating black hole at the center of the Galaxy, Classical and Quantum Gravity 35, 115009 (2018) [pdf] [publisher page]

• 5-dimensional black holes and the holographic principle:

  • Heavy quarks in rotating plasma via holography, Nuclear Physics B 979, 115786 (2022) [pdf] [publisher page] [arXiv:2107.11672]
  • Holographic drag force in 5d Kerr-AdS black hole, Journal of High Energy Physics 04(2021), 169 (2021) [pdf] [publisher page] [arXiv:2004.12984]
  • Thermalization of holographic Wilson loops in spacetimes with spatial anisotropy, Nuclear Physics B 931, 506 (2018) [pdf] [publisher page]

• Neutron stars:

  • Accurate Ray-tracing of Realistic Neutron Star Atmospheres for Constraining Their Parameters, Astrophysical Journal, 855, 116 (2018) [pdf] [publisher page]

• Relativistic hydrodynamics and MHD:

  • New code for equilibriums and quasiequilibrium initial data of compact objects. IV. Rotating relativistic stars with mixed poloidal and toroidal magnetic fields, Physical Review D, Physical Review D 100, 123019 (2019) [pdf] [publisher page] [arXiv:1906.10393]

Previous works (2005-2017)

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Éric Gourgoulhon / 2026-02-28