Hairy black holes in theories with massive gravitons

Abstract

This is a brief survey of the known black hole solutions in the theories of ghost-free bigravity and massive gravity. Various black holes exist in these theories, in particular those supporting a massive graviton hair. However, it seems that solutions which could be astrophysically relevant are the same as in General Relativity, or very close to them. Therefore, the no-hair conjecture essentially applies, and so it would be hard to detect the graviton mass by observing black holes.

arXiv commentReferences added. 20 pages, 3 figures, based on the talk given at the 7-th Aegean Summer School "Beyond Einstein's theory of gravity", September 2013

References in corpus (45)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The galileon as a local modification of gravity
• Resummation of Massive Gravity
• Black Strings and p-Branes are Unstable
• Theoretical Aspects of Massive Gravity
• Bimetric Gravity from Ghost-free Massive Gravity
• Kerr black holes with scalar hair
• Resolving the Ghost Problem in non-Linear Massive Gravity
• The gravity dual of a p-wave superconductor
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
• Dressing a black hole with a time-dependent Galileon
• A no-hair theorem for the galileon
• Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
• Stationary Scalar Clouds Around Rotating Black Holes
• Analytic solutions in non-linear massive gravity
• No hair for spherical black holes: charged and nonminimally coupled scalar field with self--interaction
• Strong interactions and exact solutions in non-linear massive gravity
• Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
• On Black Holes in Massive Gravity
• The recovery of General Relativity in massive gravity via the Vainshtein mechanism
• Recovering General Relativity from massive gravity
• Instability of black holes in massive gravity
• Hairy black holes in the ghost-free bigravity theory
• Non-linear bigravity and cosmic acceleration
• Spherically Symmetric Solutions in Ghost-Free Massive Gravity
• Black holes with massive graviton hair
• Self-accelerating cosmologies and hairy black holes in ghost-free bigravity and massive gravity
• Charged black holes in nonlinear massive gravity
• Static Axially Symmetric Einstein-Yang-Mills-Dilaton Solutions: I.Regular Solutions
• Degrees of Freedom in Massive Gravity
• Non-Linear Massive Gravity with Additional Primary Constraint and Absence of Ghosts
• Restoring General Relativity in massive bi-gravity theory
• Characterising Vainshtein Solutions in Massive Gravity
• Exact Spherically Symmetric Solutions in Massive Gravity
• A class of charged black hole solutions in massive (bi)gravity
• Stars and Black Holes in Massive Gravity
• Static Axially Symmetric Einstein-Yang-Mills-Dilaton Solutions: II.Black Hole Solutions
• Stability of the Schwarzschild-de Sitter black hole in the dRGT massive gravity theory
• On horizon structure of bimetric spacetimes
• Stability analysis of black holes in massive gravity: a unified treatment
• Partially massless gravitons do not destroy general relativity black holes
• Black hole discharge in massive electrodynamics and black hole disappearance in massive gravity
• Non-Einstein source effects in massive gravity

Cited by in corpus (23)

• Testing General Relativity with Present and Future Astrophysical Observations
• Black holes, gravitational waves and fundamental physics: a roadmap
• A systematic approach to generalisations of General Relativity and their cosmological implications
• Black Hole Based Tests of General Relativity
• Recent developments in bimetric theory
• A class of charged black hole solutions in massive (bi)gravity
• Black holes in massive gravity
• Probing the Nature of Black Holes: Deep in the mHz Gravitational-Wave Sky
• Self tuning scalar tensor black holes
• On stars, galaxies and black holes in massive bigravity
• Non-Singular Black Holes in Massive Gravity: Time-Dependent Solutions
• Constraining alternative polarization states of gravitational waves from individual black hole binaries using pulsar timing arrays
• Self Tuning Scalar Fields in Spherically Symmetric Spacetimes
• Giant wormholes in ghost-free bigravity theory
• Asymptotically flat hairy black holes in massive bigravity
• From Lovelock to Horndeski's generalised scalar-tensor theory
• Non linear massive gravity as a gravitational $\sigma$-model
• Anisotropic Scale Invariant Spacetimes and Black Holes in Zwei-Dreibein Gravity
• Vacuum degeneracy in Massive gravity=Multiplicity of fundamental scales
• Perturbations of Cosmological and Black Hole Solutions in Massive gravity and Bi-gravity
• Massive gravity solution of Black Holes and Entropy Bounds
• Fundamental fields around compact objects: Massive spin-2 fields, Superradiant instabilities and Stars with dark matter cores
• Dipolar perturbations of nonbidiagonal black holes in bigravity