Black holes, gravitational waves and fundamental physics: a roadmap

L Barack, V Cardoso, S Nissanke… - … and quantum gravity, 2019 - iopscience.iop.org
70 AIM, UMR 7158, CEA/DRF, CNRS, Université Paris Diderot, Irfu/Service d'Astrophysique,
Centre de Saclay, FR-91191 Gif-sur-Yvette, France

The motion of point particles in curved spacetime

E Poisson, A Pound, I Vega - Living Reviews in Relativity, 2011 - Springer
This review is concerned with the motion of a point scalar charge, a point electric charge,
and a point mass in a specified background spacetime. In each of the three cases the …

SpECTRE: a task-based discontinuous Galerkin code for relativistic astrophysics

LE Kidder, SE Field, F Foucart, E Schnetter… - Journal of …, 2017 - Elsevier
We introduce a new relativistic astrophysics code, SpECTRE, that combines a discontinuous
Galerkin method with a task-based parallelism model. SpECTRE's goal is to achieve more …

Gravitational self-force on a particle in eccentric orbit around a Schwarzschild black hole

L Barack, N Sago - Physical Review D—Particles, Fields, Gravitation, and …, 2010 - APS
We present a numerical code for calculating the local gravitational self-force acting on a
pointlike particle in a generic (bound) geodesic orbit around a Schwarzschild black hole …

Waveform modelling for the laser interferometer space antenna

N Afshordi, S Akçay, PA Seoane, A Antonelli… - arXiv preprint arXiv …, 2023 - arxiv.org
LISA, the Laser Interferometer Space Antenna, will usher in a new era in gravitational-wave
astronomy. As the first anticipated space-based gravitational-wave detector, it will expand …

[HTML][HTML] Continuum and discrete initial-boundary value problems and Einstein's field equations

O Sarbach, M Tiglio - Living reviews in relativity, 2012 - Springer
Many evolution problems in physics are described by partial differential equations on an
infinite domain; therefore, one is interested in the solutions to such problems for a given …

Multidomain spectral method for self-force calculations

RP Macedo, P Bourg, A Pound, SD Upton - Physical Review D, 2024 - APS
Second-order self-force calculations will be critical for modeling extreme-mass-ratio
inspirals, and they are now known to have high accuracy even for binaries with mass …

Hyperboloidal discontinuous time-symmetric numerical algorithm with higher order jumps for gravitational self-force computations in the time domain

LJG Da Silva, RP Macedo, JE Thompson… - arXiv preprint arXiv …, 2023 - arxiv.org
Within the next decade the Laser Interferometer Space Antenna (LISA) is due to be
launched, providing the opportunity to extract physics from stellar objects and systems, such …

Formulation of discontinuous Galerkin methods for relativistic astrophysics

SA Teukolsky - Journal of Computational Physics, 2016 - Elsevier
The DG algorithm is a powerful method for solving pdes, especially for evolution equations
in conservation form. Since the algorithm involves integration over volume elements, it is not …

Gravitational perturbations and metric reconstruction: Method of extended homogeneous solutions applied to eccentric orbits on a Schwarzschild black hole

S Hopper, CR Evans - Physical Review D—Particles, Fields, Gravitation, and …, 2010 - APS
We calculate the gravitational perturbations produced by a small mass in eccentric orbit
about a much more massive Schwarzschild black hole and use the numerically computed …