Exact Hairy Black Holes and their Modification to the Universal Law of Gravitation

Abstract

In this paper two things are done. First, it is pointed out the existence of exact asymptotically flat, spherically symmetric black holes when a self interacting, minimally coupled scalar field is the source of the energy momentum of the Einstein equations in four dimensions. The scalar field potential is the recently found to be compatible with the hairy generalization of the Plebanski-Demianski solution of general relativity. This paper describes the spherically symmetric solutions that smoothly connect the Schwarzschild black hole with its hairy counterpart. The geometry and scalar field are everywhere regular except at the usual Schwarzschild like singularity inside the black hole. The scalar field energy momentum tensor satisfies the null energy condition in the static region of the spacetime. The first law holds when the parameters of the scalar field potential are fixed under thermodynamical variation. Secondly, it is shown that an extra, dimensionless parameter, present in the hairy solution, allows to modify the gravitational field of a spherically symmetric black hole in a remarkable way. When the dimensionless parameter is increased, the scalar field generates a flat gravitational potential, that however asymptotically matches the Schwarzschild gravitational field. Finally, it is shown that a positive cosmological constant can render the scalar field potential convex if the parameters are within a specific rank.

Two new references, 10 pages, 2 figures

References in corpus (7)

• Testing the general relativistic ''no-hair'' theorems using the galactic center black hole SgrA*
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Exact Black Holes and Universality in the Backreaction of non-linear Sigma Models with a potential in (A)dS4
• Constraining scalar fields with stellar kinematics and collisional dark matter
• Charged C-metric with conformally coupled scalar field
• Conformally coupled scalar black holes admit a flat horizon due to axionic charge
• Anti-de Sitter massless scalar field spacetimes in arbitrary dimensions

Cited by in corpus (42)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Black Hole Remnants and the Information Loss Paradox
• Kerr black holes with Proca hair
• Exact asymptotically flat charged hairy black holes with a dilaton potential
• Four-Dimensional Asymptotically AdS Black Holes with Scalar Hair
• Galaxy rotation curves in $f(R,\varphi )$-gravity
• Spherically symmetric black holes in $f(R)$ gravity: Is geometric scalar hair supported ?
• Black holes in $\omega$-defomed gauged $N=8$ supergravity
• Exact topological charged hairy black holes in AdS Space in $D$-dimensions
• Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
• Axially symmetric static scalar solitons and black holes with scalar hair
• Exact hairy black brane solutions in $Ad{S}_5$ and holographic RG flows
• Strong deflection lensing by charged black holes in scalar-tensor gravity
• Asymptotically flat black holes sourced by a massless scalar field
• Analytic topological hairy dyonic black holes and thermodynamics
• Curvature Scalarization of Black Holes in f(R) Gravity
• Extremal Hairy Black Holes
• Analytic three-dimensional primary hair charged black holes and thermodynamics
• Hybrid metric-Palatini gravity: black holes, wormholes, singularities and instabilities
• Compact objects with primary hair in shift and parity symmetric beyond Horndeski gravities
• Obstructions towards a generalization of no-hair theorems: I. Scalar clouds around Kerr black holes
• Asymptotically flat black holes with scalar hair: a review
• Global structure of static spherically symmetric solutions surrounded by quintessence
• Novel exact ultra-compact and ultra-sparse hairy black holes emanating from regular and phantom scalar fields
• Analytic and asymptotically flat hairy (ultra-compact) black-hole solutions and their axial perturbations
• On the mechanical stability of asymptotically flat black holes with minimally coupled scalar hair
• New BPS solitons in N=4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory
• Hairy black holes: stability under odd-parity perturbations and existence of slowly rotating solutions
• Four-dimensional black holes with scalar hair in nonlinear electrodynamics
• Non-linear charged planar black holes in four-dimensional Scalar-Gauss-Bonnet theories
• Scalar Hairy Black Holes with Inverted Mexican Hat Potential
• Hairy Black Hole Stability in AdS, Quantum Mechanics on the Half-Line and Holography
• The simplest model of a scalarized black hole in the Einstein-Klein-Gordon theory
• On black holes with scalar hairs
• An exact black hole spacetime with scalar field and its shadow together with quasinormal modes
• Exact Hairy Black Holes
• Note on black hole no hair theorems for massive forms and spin-1/2 fields
• Geodesic Motion of Test Particles around the Scalar Hairy Black Holes with Asymmetric Vacua
• Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential
• Motion of particles on a Four-Dimensional Asymptotically AdS Black Hole with Scalar Hair
• Periapsis shift and deflection of light by hairy black holes
• The Hawking temperature in the context of dark energy for four-dimensional asymptotically AdS black holes with scalar hair