Black holes beyond General Relativity: stability and nonlinear evolution
ORAL
Abstract
The dawn of gravitational-wave astronomy provides a unique opportunity to test General Relativity (GR) in the strong-field regime. Going beyond null tests, I will present recent progress to obtain strong-field predictions in Quadratic Gravity, i.e., for the leading-order EFT-corrections to GR.
Building on a proof by David R Noakes, I will discuss well-posedness of the initial-value-problem for Quadratic Gravity, both in spherical symmetry and (3+1) dimensions. In spherical symmetry, analytic linear stability complements stable nonlinear numerical evolution to determine the impact of EFT-corrections during spherical gravitational collapse. In (3+1) dimensions, a well-posed formulation crucially relies on strong hyperbolicity.
Building on a proof by David R Noakes, I will discuss well-posedness of the initial-value-problem for Quadratic Gravity, both in spherical symmetry and (3+1) dimensions. In spherical symmetry, analytic linear stability complements stable nonlinear numerical evolution to determine the impact of EFT-corrections during spherical gravitational collapse. In (3+1) dimensions, a well-posed formulation crucially relies on strong hyperbolicity.
*DAAD (German Academic Exchange Service) PRIME fellow.Institute for Theoretical Physics, Friedrich Schiller University (FSU), Jena, Germany.The Princeton Gravity Initiative, Jadwin Hall, Princeton University, US.
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Publication: "Nonlinear dynamics of quadratic gravity in spherical symmetry", A Held, H Lim, Phys. Rev. D 104 (2021) 8, 084075.
"Linear stability of spherically-symmetric black holes in quadratic gravity", A Held, J Zhang, to be published.
"Nonlinear dynamics of quadratic gravity in (3+1) dimensions", A Held, H Lim, to be published.
Presenters
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Aaron Held
- The Princeton Gravity Initiative