Expanded evasion of the black hole no-hair theorem in dilatonic Einstein-Gauss-Bonnet theory

Abstract

We study a hairy black hole solution in the dilatonic Einstein-Gauss-Bonnet theory of gravitation, in which the Gauss-Bonnet term is non-minimally coupled to the dilaton field. Hairy black holes with spherical symmetry seem to be easily constructed with a positive Gauss-Bonnet coefficient $\alpha$ within the coupling function, $f(\varphi )=\alpha e^{\gamma \varphi }$, in an asymptotically flat spacetime, i.e., no-hair theorem seems to be easily evaded in this theory. Therefore, it is natural to ask whether this construction can be expanded into the case with the negative coefficient $\alpha$. In this paper, we present numerically the dilaton black hole solutions with a negative $\alpha$ and analyze the properties of GB term through the aspects of the black hole mass. We construct the new integral constraint allowing the existence of the hairy solutions with the negative $\alpha$. Through this procedure, we expand the evasion of the no-hair theorem for hairy black hole solutions.

arXiv comment9 pages, 7 figures, 1 table, discussion and reference added

References in corpus (30)

• 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
• The Dynamics of General Relativity
• Tests of general relativity with GW150914
• Testing General Relativity with Present and Future Astrophysical Observations
• Gauss-Bonnet Black Holes in AdS Spaces
• Gauss-Bonnet dark energy
• Dilatonic Black Holes in Higher Curvature String Gravity
• Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling
• New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories
• Generalised Israel Junction Conditions for a Gauss-Bonnet Brane World
• Spontaneous scalarisation of charged black holes
• Are black holes in alternative theories serious astrophysical candidates? The case for Einstein-Dilaton-Gauss-Bonnet black holes
• Dilatonic Black Holes with Gauss-Bonnet Term
• Black-Hole Solutions with Scalar Hair in Einstein-Scalar-Gauss-Bonnet Theories
• Rotating Dilaton Black Holes
• Topological dilaton black holes
• Gauss-Bonnet Black Holes in dS Spaces
• Dilatonic Black Holes in Higher-Curvature String Gravity II: Linear Stability
• Charged Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions I -- Asymptotically Flat Black Holes --
• The Instability of Vacua in Gauss-Bonnet Gravity
• Thermodynamics of static black objects in D dimensional Einstein-Gauss-Bonnet gravity with D-4 compact dimensions
• Dilaton-Axion hair for slowly rotating Kerr black holes
• Gregory-Laflamme instability of black hole in Einstein-scalar-Gauss-Bonnet theories
• The vacuum bubbles in de Sitter background and black hole pair creation
• Instability of Black Holes with a Gauss-Bonnet Term
• Dilaton Field Released under Collision of Dilatonic Black Holes with Gauss-Bonnet Term
• Static black holes and strictly static spacetimes in Einstein-Gauss-Bonnet gravity with gauge field

Cited by in corpus (27)

• Black holes with scalar hair in light of the Event Horizon Telescope
• Scalarized black holes in the presence of the coupling to Gauss-Bonnet gravity
• Novel Black-Hole Solutions in Einstein-Scalar-Gauss-Bonnet Theories with a Cosmological Constant
• Black hole scalarization induced by the spin -- 2+1 time evolution
• Ghost-free Gauss-Bonnet Theories of Gravity
• Gauss-Bonnet black holes with a massive scalar field
• Large and Ultra-compact Gauss-Bonnet Black Holes with a Self-interacting Scalar Field
• On the Existence of Solutions with a Horizon in Pure Scalar-Gauss-Bonnet Theories
• The scalarised Schwarzschild-NUT spacetime
• Rotating black holes with an anisotropic matter field
• Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
• Multi-scalar Gauss-Bonnet gravity -- hairy black holes and scalarization
• Constraining modified gravity theories with scalar fields using black-hole images
• WIMPs in Dilatonic Einstein Gauss-Bonnet Cosmology
• Stability and topological nature of charged Gauss-Bonnet AdS black holes in five dimensions
• Hairy Black Holes by Spontaneous Symmetry Breaking
• Dressing rotating black holes with anisotropic matter
• Strong Gravitational Lensing Effects of the Rotating Short-Haired Black Hole and Constraints from EHT Observations
• Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type
• Radiative properties of thin accretion disks around rotating short-hairy black holes
• Gauss-Bonnet Cosmology: large-temperature behaviour and bounds from Gravitational Waves
• Innermost stable circular orbits of neutron stars in dilatonic-Einstein-Gauss-Bonnet theory
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation
• Black Holes in Einstein-scalar-Gauss-Bonnet model probed with scattering amplitudes
• Exploring Scalarized Einstein-Gauss-Bonnet Theories Through the Lens of Parametrized Post-Newtonian Formalism
• Hairy black holes in dilatonic Einstein-Gauss-Bonnet theory
• Stability of charged scalar hair on a Reissner-Nordström black hole