Nonlinear Dynamics of Quadratic Gravity in Spherical Symmetry
arXiv:2104.04010 · doi:10.1103/PhysRevD.104.084075
Abstract
We present the first numerically stable nonlinear evolution for the leading-order gravitational effective field theory (Quadratic Gravity) in the spherically-symmetric sector. The formulation relies on (i) harmonic gauge to cast the evolution system into quasi-linear form (ii) the Cartoon method to reduce to spherical symmetry in keeping with harmonic gauge, and (iii) order-reduction to 1st-order (in time) by means of introducing auxiliary variables. Well-posedness of the respective initial-value problem is numerically confirmed by evolving randomly perturbed flat-space and black-hole initial data. Our study serves as a proof-of-principle for the possibility of stable numerical evolution in the presence of higher derivatives.
arXiv comment9 pages (including 7 figures) with one appendix, references, and a supplementary file; revised to match PRD version
References in corpus (44)
- GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
- Tests of general relativity with GW150914
- Evolution of Binary Black Hole Spacetimes
- On the Numerical Integration of Einstein's Field Equations
- Numerical Relativity Using a Generalized Harmonic Decomposition
- Black Holes in Higher-Derivative Gravity
- Spherically Symmetric Solutions in Higher-Derivative Gravity
- Symmetry without Symmetry: Numerical Simulation of Axisymmetric Systems using Cartesian Grids
- Not quite a black hole
- Continuum and Discrete Initial-Boundary-Value Problems and Einstein's Field Equations
- Unitarity, stability and loops of unstable ghosts
- Evolution of Einstein-scalar-Gauss-Bonnet gravity using a modified harmonic formulation
- Well-posed formulation of Lovelock and Horndeski theories
- Physical Processes in Naked Singularity Formation
- Numerical relativity simulation of GW150914 in Einstein dilaton Gauss-Bonnet gravity
- The Invar Tensor Package
- Dynamical descalarization in binary black hole mergers
- Numerical relativity simulation of GW150914 beyond general relativity
- Numerical binary black hole collisions in dynamical Chern-Simons gravity
- Metastability in Quadratic Gravity
- Non-Schwarzschild black-hole metric in four dimensional higher derivative gravity: analytical approximation
- The Ultraviolet Behavior Of Quantum Gravity
- Well-posed formulation of scalar-tensor effective field theory
- Scalarized Black Hole dynamics in Einstein dilaton Gauss-Bonnet Gravity
- Dynamics of a Z2 symmetric EdGB gravity in spherical symmetry
- Implementation of standard testbeds for numerical relativity
- Massively Parallel Simulations of Binary Black Hole Intermediate-Mass-Ratio Inspirals
- Nonlinear/non-iterative treatment of EFT-motivated gravity
- Hyperbolicity of second-order in space systems of evolution equations
- Lichnerowicz Modes and Black Hole Families in Ricci Quadratic Gravity
- Black holes and other exact spherical solutions in Quadratic Gravity
- On avoiding Ostrogradski instabilities within Asymptotic Safety
- Characterizing black hole metrics in quadratic gravity
- Exact solutions to quadratic gravity
- Numerical stability for finite difference approximations of Einstein's equations
- Gravitational Collapse in Cubic Horndeski Theories
- K-dynamics: well-posed 1+1 evolutions in K-essence
- Initial Value Problem in General Relativity
- Hyperbolicity of General Relativity in Bondi-like gauges
- Well-posedness of cubic Horndeski theories
- Generalized harmonic formulation in spherical symmetry
- About the Cauchy problem in Stelle's quadratic gravity
- Hyperbolicity of High Order Systems of Evolution Equations
- Hyperbolicity of Hamiltonian formulations in General Relativity
Cited by in corpus (11)
- Universal signatures of singularity-resolving physics in photon rings of black holes and horizonless objects
- Instability of spherically-symmetric black holes in Quadratic Gravity
- A non-Perturbative and Background-Independent Formulation of Quadratic Gravity
- Instability and backreaction of massive spin-2 fields around black holes
- Probing Quadratic Gravity with the Event Horizon Telescope
- Nonlinear Evolution of Quadratic Gravity in 3+1 Dimensions
- Scalarization of isolated black holes in scalar Gauss-Bonnet theory in the fixing-the-equations approach
- Generic EFT-motivated beyond General Relativity gravitational wave tests and their curvature dependence: from observation to interpretation
- Black Holes in Multi-Metric Gravity
- Gravitational collapse in Quadratic Gravity
- Mass gap in non-perturbative quadratic gravity via Dyson-Schwinger