Hairy black holes in scalar extended massive gravity

Abstract

We construct static, spherically symmetric black hole solutions in scalar extended ghost-free massive gravity and show the existence of hairy black holes in this class of extension. While the existence seems to be a generic feature, we focus on the simplest models of this extension and find that asymptotically flat hairy black holes can exist without fine-tuning the theory parameters, unlike the bi-gravity extension, where asymptotical flatness requires fine-tuning in the parameter space. Like the bi-gravity extension, we are unable to obtain asymptotically dS regular black holes in the simplest models considered, but it is possible to obtain asymptotically AdS black holes.

17 pages, 10 figures, references added

References in corpus (12)

• Resummation of Massive Gravity
• Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
• Quasi-Dilaton: Theory and Cosmology
• Charged black holes in nonlinear massive gravity
• A class of charged black hole solutions in massive (bi)gravity
• Black holes in massive gravity
• Rotating black holes in massive gravity
• A new quasidilaton theory of massive gravity
• Gordon and Kerr-Schild ansatze in massive and bimetric gravity
• On stars, galaxies and black holes in massive bigravity
• External stability for Spherically Symmetric Solutions in Lorentz Breaking Massive Gravity
• Perturbations of Cosmological and Black Hole Solutions in Massive gravity and Bi-gravity

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• Constraining the Schwarzschild-de Sitter Solution in Models of Modified Gravity
• Rotating (A)dS black holes in bigravity
• Analytic and asymptotically flat hairy (ultra-compact) black-hole solutions and their axial perturbations
• Novel exact ultra-compact and ultra-sparse hairy black holes emanating from regular and phantom scalar fields
• No hair theorem in quasi-dilaton massive gravity
• Relativistic stars in mass-varying massive gravity
• Structure of $3D$ gravastars in the context of massive gravity
• Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
• Relativistic star solutions in Mass-varying Massive Gravity with a diagonal metric