Revisiting linear stability of black hole odd-parity perturbations in Einstein-Aether gravity
arXiv:2405.14071 · doi:10.1103/PhysRevD.110.044024
Abstract
In Einstein-Aether gravity, we revisit the issue of linear stabilities of black holes against odd-parity perturbations on a static and spherically symmetric background. In this theory, superluminal propagation is allowed and there is a preferred timelike direction along the unit Aether vector field. If we choose the usual spherically symmetric background coordinates with respect to the Killing time and the areal radius , it may not be appropriate for unambiguously determining the black hole stability because the constant hypersurfaces are not necessarily always spacelike. Unlike past related works of black hole perturbations, we choose an Aether-orthogonal frame in which the timelike Aether field is orthogonal to spacelike hypersurfaces over the whole background spacetime. In the short wavelength limit, we show that no-ghost conditions as well as radial and angular propagation speeds coincide with those of vector and tensor perturbations on the Minkowski background. Thus, the odd-parity linear stability of black holes for large radial and angular momentum modes is solely determined by constant coefficients of the Aether derivative couplings.
14 pages, no figures
References in corpus (28)
- The Confrontation between General Relativity and Experiment
- Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
- Quantum Gravity at a Lifshitz Point
- Models of non-relativistic quantum gravity: the good, the bad and the healthy
- Cuscuton: A Causal Field Theory with an Infinite Speed of Sound
- Black holes in Einstein-aether and Horava-Lifshitz gravity
- Lorentz Violating Inflation
- Strong field effects on binary systems in Einstein-aether theory
- Einstein-Æther Gravity in the light of Event Horizon Telescope Observations of M87*
- Numerical simulations of gravitational collapse in Einstein-aether theory
- Perturbations and quasi-normal modes of black holes in Einstein-Aether theory
- Projected Constraints on Lorentz-Violating Gravity with Gravitational Waves
- New binary pulsar constraints on Einstein-æther theory after GW170817
- Quasinormal ringing of black holes in Einstein aether theory
- New look at black holes: Existence of universal horizons
- Relativistic star perturbations in Horndeski theories with a gauge-ready formulation
- Spherically symmetric static black holes in Einstein-aether theory
- Linear stability of black holes in shift-symmetric Horndeski theories with a time-independent scalar field
- Three-dimensional charged Einstein-aether black holes and Smarr formula
- Linear stability of black holes with static scalar hair in full Horndeski theories: generic instabilities and surviving models
- Black hole perturbations in Maxwell-Horndeski theories
- Odd-parity stability of black holes in Einstein-Aether gravity
- Gravitational wave constraints on Einstein-æther theory with LIGO/Virgo data
- Spherically symmetric exact vacuum solutions in Einstein-aether theory
- Propagation of scalar and tensor gravitational waves in Horndeski theory
- Regular Black Holes and Horizonless Ultra-Compact Objects in Lorentz-Violating Gravity
- Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity
- Universal horizons and black hole spectroscopy in gravitational theories with broken Lorentz symmetry