Novel Black-Hole Solutions in Einstein-Scalar-Gauss-Bonnet Theories with a Cosmological Constant

Athanasios Bakopoulos; Georgios Antoniou; Panagiota Kanti

doi:10.1103/PhysRevD.99.064003

paper

Novel Black-Hole Solutions in Einstein-Scalar-Gauss-Bonnet Theories with a Cosmological Constant

arXiv:1812.06941 · doi:10.1103/PhysRevD.99.064003

Abstract

We consider the Einstein-scalar-Gauss-Bonnet theory in the presence of a cosmological constant $Λ$ , either positive or negative, and look for novel, regular black-hole solutions with a non-trivial scalar hair. We first perform an analytic study in the near-horizon asymptotic regime, and demonstrate that a regular black-hole horizon with a non-trivial hair may be always formed, for either sign of $Λ$ and for arbitrary choices of the coupling function between the scalar field and the Gauss-Bonnet term. At the far-away regime, the sign of $Λ$ determines the form of the asymptotic gravitational background leading either to a Schwarzschild-Anti-de Sitter-type background ( $Λ < 0$ ) or a regular cosmological horizon ( $Λ > 0$ ), with a non-trivial scalar field in both cases. We demonstrate that families of novel black-hole solutions with scalar hair emerge for $Λ < 0$ , for every choice of the coupling function between the scalar field and the Gauss-Bonnet term, whereas for $Λ > 0$ , no such solutions may be found. In the former case, we perform a comprehensive study of the physical properties of the solutions found such as the temperature, entropy, horizon area and asymptotic behaviour of the scalar field.

arXiv commentPdfLatex, 33 pages, 9 figures

Novel Black-Hole Solutions in Einstein-Scalar-Gauss-Bonnet Theories with a Cosmological Constant

Abstract

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