Black Holes and Abelian Symmetry Breaking
arXiv:1602.08697 · doi:10.1088/0264-9381/33/17/175007
Abstract
Black hole configurations offer insights on the non-linear aspects of gravitational theories, and can suggest testable predictions for modifications of General Relativity. In this work, we examine exact black hole configurations in vector-tensor theories, originally proposed to explain dark energy by breaking the Abelian symmetry with a non-minimal coupling of the vector to gravity. We are able to evade the no-go theorems by Bekenstein on the existence of regular black holes in vector-tensor theories with Proca mass terms, and exhibit regular black hole solutions with a profile for the longitudinal vector polarization, characterised by an additional charge. We analytically find the most general static, spherically symmetric black hole solutions with and without a cosmological constant, and study in some detail their features, such as how the geometry depends on the vector charges. We also include angular momentum, and find solutions describing slowly-rotating black holes. Finally, we extend some of these solutions to higher dimensions.
13 pages, v2: references added, minor typos corrected
References in corpus (4)
Cited by in corpus (64)
- A systematic approach to generalisations of General Relativity and their cosmological implications
- Positivity Bounds for Massive Spin-1 and Spin-2 Fields
- Rotating Black Holes in Higher Order Gravity
- Black holes in vector-tensor theories
- Hairy black-hole solutions in generalized Proca theories
- On the 4D generalized Proca action for an Abelian vector field
- Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor
- Hamiltonian vs stability and application to Horndeski theory
- Relativistic stars in vector-tensor theories
- Black holes and solitons in an extended Proca theory
- Scalar-Vector-Tensor Gravity Theories
- Regular black holes via the Kerr-Schild construction in DHOST theories
- General theories of linear gravitational perturbations to a Schwarzschild Black Hole
- Black hole solutions in shift-symmetric degenerate higher-order scalar-tensor theories
- Static and rotating solutions for Vector-Galileon theories
- Probing the Nature of Black Holes: Deep in the mHz Gravitational-Wave Sky
- Black Holes and Neutron Stars in Vector Galileons
- Destabilization of black holes and stars by generalized Proca fields
- Anisotropic cosmological solutions in massive vector theories
- Neutron stars with a generalized Proca hair and spontaneous vectorization
- Cosmology in scalar-vector-tensor theories
- New class of Proca interactions
- The complete theory of Maxwell and Proca fields
- Compact objects in scalar-tensor theories after GW170817
- Black hole perturbations in vector-tensor theories: The odd-mode analysis
- The Maxwell-Proca theory: definition and construction
- Hairy black hole solutions in gauge-invariant scalar-vector-tensor theories
- Linear stability of black holes in shift-symmetric Horndeski theories with a time-independent scalar field
- Black holes with vector hair
- An exact solution for a rotating black hole in modified gravity
- Black hole perturbations in Maxwell-Horndeski theories
- Stealth configurations in vector-tensor theories of gravity
- Disformal transformation of stationary and axisymmetric solutions in modified gravity
- Odd-parity stability of black holes in Einstein-Aether gravity
- Black holes in vector-tensor theories and their thermodynamics
- Spinning black holes for generalized scalar tensor theories in three dimensions
- Stealth spontaneous spinorization of relativistic stars
- Suppression of matter couplings with a vector field in generalized Proca theories
- Disformal map and Petrov classification in modified gravity
- Compact objects in unimodular gravity
- Horndeski dark matter and beyond
- Polarization modes of gravitational waves in generalized Proca theory
- Positivity bounds in vector theories
- Odd-parity stability of hairy black holes in gauge-invariant scalar-vector-tensor theories
- Proca stars with nonminimal coupling to the Einstein tensor
- Cosmology in massive gravity with effective composite metric
- Gravitational Properties of the Proca Field
- Detecting the massive vector field with extreme mass-ratio inspirals
- Horndeski Proca stars with vector hair
- Loss of hyperbolicity and tachyons in generalized Proca theories
- Absence of solid angle deficit singularities in beyond-generalized Proca theories
- On the Scalar-Vector-Tensor Gravity: Black Hole, Thermodynamics and Geometrothermodynamics
- To stealth or not to stealth: Thermodynamics of stealth black holes
- Black holes in the quadratic-order extended vector-tensor theories
- Symmetric wormholes in Einstein-vector-Gauss-Bonnet theory
- Gravitating Meron-like topological solitons in massive Yang-Mills theory and the Einstein-Skyrme model
- Linear stability of vector Horndeski black holes
- Ultracompact vector stars
- Hidden conformal symmetries for black holes in modified gravity
- Morris-Thorne Wormhole in the Vector-Tensor theories with Abelian gauge symmetry breaking
- Counterterm method and thermodynamics of Hairy Black Holes in a Vector-Tensor theory with Abelian gauge symmetry breaking
- Quasinormal Modes from EFT of Black Hole Perturbations in Vector-Tensor Gravity
- Stealth black hole solutions in higher-order Maxwell-Einstein theories
- Exploring Self-Gravitating Cylindrical Structures in Modified Gravity: Insights from Scalar-Vector-Tensor Theory