Odd-parity stability of black holes in Einstein-Aether gravity

Abstract

In Einstein-Aether theory, we study the stability of black holes against odd-parity perturbations on a spherically symmetric and static background. For odd-parity modes, there are two dynamical degrees of freedom arising from the tensor gravitational sector and Aether vector field. We derive general conditions under which neither ghosts nor Laplacian instabilities are present for these dynamical fields. We apply these results to concrete black hole solutions known in the literature and show that some of those solutions can be excluded by the violation of stability conditions. The exact Schwarzschild solution present for $c_{13}=c_{14}=0$, where $c_i$'s are the four coupling constants of the theory with $c_{ij}=c_i+c_j$, is prone to Laplacian instabilities along the angular direction throughout the horizon exterior. However, we find that the odd-parity instability of high radial and angular momentum modes is absent for black hole solutions with $c_{13}=c_4=0$ and $c_1\ge 0$.

arXiv commentRevtex4-1, no tables and figures. The analysis of stability against the inclined modes is added, and some typos are further corrected. Version to appear in Phys. Rev. D

References in corpus (53)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Dynamics of dark energy
• Particle Dark Matter: Evidence, Candidates and Constraints
• Modified Gravity and Cosmology
• Quantum Gravity at a Lifshitz Point
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Testing General Relativity with Present and Future Astrophysical Observations
• Data Tables for Lorentz and CPT Violation
• Modern tests of Lorentz invariance
• Gravity with a dynamical preferred frame
• Black holes, gravitational waves and fundamental physics: a roadmap
• A healthy extension of Horava gravity
• Einstein-Aether Waves
• Generalization of the Proca Action
• Lorentz-Violating Vector Fields Slow the Universe Down
• A no-hair theorem for the galileon
• Cosmic Acceleration from Abelian Symmetry Breaking
• Black holes in Einstein-aether and Horava-Lifshitz gravity
• Derivative self-interactions for a massive vector field
• Constraining the New Aether: Gravitational Cherenkov Radiation
• Constraints on Einstein-Æther theory and Horava gravity from binary pulsar observations
• Post-Newtonian parameters and constraints on Einstein-aether theory
• Hořava Gravity at a Lifshitz Point: A Progress Report
• Black Holes in Einstein-Aether Theory
• Black hole perturbation in the most general scalar-tensor theory with second-order field equations I: The odd-parity sector
• Horava gravity vs. thermodynamics: the black hole case
• Constraints on Einstein-aether theory after GW170817
• Beyond generalized Proca theories
• Mechanics of universal horizons
• Stability of Schwarzschild-like solutions in f(R,G) gravity models
• Gravitational waves in Einstein-æther and generalized TeVeS theory after GW170817
• Strong field effects on binary systems in Einstein-aether theory
• Neutron stars in Einstein-aether theory
• Einstein-Æther Gravity in the light of Event Horizon Telescope Observations of M87*
• Black holes in vector-tensor theories
• Hairy black-hole solutions in generalized Proca theories
• Black Holes and Abelian Symmetry Breaking
• On the 4D generalized Proca action for an Abelian vector field
• Charged Einstein-aether black holes and Smarr formula
• Superconducting-Gravimeter Tests of Local Lorentz Invariance
• Lorentz Symmetry Violations from Matter-Gravity Couplings with Lunar Laser Ranging
• Generic features of Einstein-Aether black holes
• Black hole perturbations in vector-tensor theories: The odd-mode analysis
• New look at black holes: Existence of universal horizons
• Effective field theory of modified gravity on the spherically symmetric background: leading order dynamics and the odd-type perturbations
• Spherically symmetric static black holes in Einstein-aether theory
• Three-dimensional charged Einstein-aether black holes and Smarr formula
• A Static Spherically Symmetric Solution of the Einstein-aether Theory
• Existence of New Singularities in Einstein-Aether Theory
• Spherically symmetric exact vacuum solutions in Einstein-aether theory
• Spherically Symmetric Analytic Solutions and Naked Singularities in Einstein-Aether Theory
• Thermodynamical study on universal horizons in higher $D$-dimensional spacetime and aether waves

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