Novel Hairy Black Hole Solutions in Einstein-Maxwell-Gauss-Bonnet-Scalar Theory

Abstract

It has been previously shown that a Gauss-Bonnet term non-minimally coupled to a scalar field produces a scalarised black hole solution, which can be considered as having secondary scalar hair, parametrised in terms of the black hole's mass and charge. In this paper we extend a previously investigated linear coupling of the form $f(\varphi )=\varphi$ to a non-minimally coupled Maxwell term, with the form $\frac{1}{8}{F}_{\mu \nu }{F}^{\mu \nu }+\beta \varphi F_{\mu \nu }{F}^{\mu \nu }$. By using numerical methods the solutions to the full differential equations are found, as well as a perturbative expansion in the $r\to \infty$ limit and a perturbative expansion in couplings parameters such as $\beta$. These solutions describe scalarised black holes with modified electric field which have dependence not only on the electric charge of the black hole, but also the value of the non-minimal coupling constant and the horizon radius or mass of the black hole. We also discuss the bounds imposed on the parameters of the black hole by the reality condition of the solution, giving some explicit numerical bounds.

arXiv comment30 pages, 11 figures

References in corpus (41)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Gauss-Bonnet Black Holes in AdS Spaces
• Kerr black holes with scalar hair
• Dilatonic Black Holes in Higher Curvature String Gravity
• New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Black hole hair in generalized scalar-tensor gravity
• Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories
• General second order scalar-tensor theory, self tuning, and the Fab Four
• Black holes in scalar-tensor gravity
• Black hole hair in generalized scalar-tensor gravity: An explicit example
• Spontaneous scalarisation of charged black holes
• A no-hair theorem for the galileon
• Galileon Cosmology
• Non-Spinning Black Holes in Alternative Theories of Gravity
• xTras: a field-theory inspired xAct package for Mathematica
• Black holes in Einstein-aether and Horava-Lifshitz gravity
• Black-Hole Solutions with Scalar Hair in Einstein-Scalar-Gauss-Bonnet Theories
• Slowly-Rotating Black Holes in Einstein-Dilaton-Gauss-Bonnet Gravity: Quadratic Order in Spin Solutions
• Eluding the no-hair conjecture: Black holes in spontaneously broken gauge theories
• Dilatonic Black Holes in Higher-Curvature String Gravity II: Linear Stability
• Black holes and stars in Horndeski theory
• Charged Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Novel Black-Hole Solutions in Einstein-Scalar-Gauss-Bonnet Theories with a Cosmological Constant
• Phases of 4D Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
• Einstein-Maxwell-scalar black holes: classes of solutions, dyons and extremality
• Rotating Black Holes in Higher Order Gravity
• Black Hole Dynamics in Einstein-Maxwell-Dilaton Theory
• Inflation driven by Einstein-Gauss-Bonnet gravity
• Introducing the Slotheon: a slow Galileon scalar field in curved space-time
• The scalarised Schwarzschild-NUT spacetime
• Gregory-Laflamme instability of black hole in Einstein-scalar-Gauss-Bonnet theories
• $\nu$Galileon: modified gravity with massive neutrinos as a testable alternative to $\Lambda$CDM
• Jordan frame no-hair for spherical scalar-tensor black holes
• Skyrmion Black Hole Hair: Conservation of Baryon Number by Black Holes and Observable Manifestations
• $d+1$ formalism in Einstein-scalar-Gauss-Bonnet gravity
• Virial identities in relativistic gravity: 1D effective actions and the role of boundary terms

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