REVIEW 4 cited by
Hyperbolicity in Spherical Gravitational Collapse in a Horndeski Theory
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Hyperbolicity in Spherical Gravitational Collapse in a Horndeski Theory
read the original abstract
We numerically study spherical gravitational collapse in shift symmetric Einstein dilaton Gauss Bonnet (EdGB) gravity. We find evidence that there are open sets of initial data for which the character of the system of equations changes from hyperbolic to elliptic type in a compact region of the spacetime. In these cases evolution of the system, treated as a hyperbolic initial boundary value problem, leads to the equations of motion becoming ill-posed when the elliptic region forms. No singularities or discontinuities are encountered on the corresponding effective "Cauchy horizon". Therefore it is conceivable that a well-posed formulation of EdGB gravity (at least within spherical symmetry) may be possible if the equations are appropriately treated as mixed-type.
Forward citations
Cited by 4 Pith papers
-
Modified Teukolsky Formalism for Extreme Mass-Ratio Inspirals in Higher-Derivative Gravity
Develops modified Teukolsky formalism for EMRIs in higher-derivative gravity and computes horizon and infinity fluxes for cubic gravity example.
-
Higher-derivative gravitational effective field theories are generically weakly hyperbolic
Any pure-metric higher-derivative gravity EFT with derivative-independent characteristics has a weakly hyperbolic physical spin-2 block that gauge fixing and constraint addition cannot remove.
-
High-accuracy drivers to simulate black hole binaries beyond general relativity with the fixing-the-equations approach
Comoving tensor-aware driver equations in SpECTRE yield ~40-cycle sGB binary waveforms with O(1) rad phase error and eccentricity ≲10^{-3}, free of spurious spin growth.
-
Minimum mass, maximum charge and hyperbolicity in scalar Gauss-Bonnet gravity
In scalar Gauss-Bonnet gravity, black hole solutions below a tunable minimum mass lose hyperbolicity in perturbations, corresponding to EFT breakdown, but scalar charge stays bounded above.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.