Aspects of Gauss-Bonnet scalarisation of charged black holes

Abstract

The general relativity vacuum black holes (BHs) can be scalarised in models where a scalar field non-minimally couples to the Gauss-Bonnet (GB) invariant. Such GB scalarisation comes in two flavours, depending on the GB sign that triggers the phenomenon. Hereafter these two cases are termed GB${}^{\pm }$ scalarisation. For vacuum BHs, only GB${}^{+}$ scalarisation is possible in the static case, while GB${}^{-}$ scalarisation is $spin$ induced. But for electrovacuum BHs, GB${}^{-}$ is also $charged$ induced. We discuss the GB${}^{-}$ scalarisation of Reissner-Nordström and Kerr-Newman BHs, discussing zero modes and constructing fully non-linear solutions. Some comparisons with GB${}^{+}$ scalarisation are given. To assess the generality of the observed features, we also briefly consider the GB${}^{\pm }$ scalarisation of stringy dilatonic BHs and coloured BHs which provide qualitative differences with respect to the electrovacuum case.

arXiv comment16 pages, 6 figures

Cited by in corpus (2)

• Infinitesimally thin static scalar shells surrounding charged Gauss-Bonnet black holes
• Non-equatorial scalar rings supported by magnetized Schwarzschild-Melvin black holes