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2020

Multi-scalar Gauss-Bonnet gravity -- hairy black holes and scalarization

Doneva, Daniela D., Staykov, Kalin V., Yazadjiev, Stoytcho S. et al.

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In the present paper we consider multi-scalar extension of Einstein-Gauss-Bonnet gravity.

We focus on multi-scalar Einstein-Gauss-Bonnet models whose target space is a three-dimensional maximally symmetric space, namely either $\mathbb{S}^3$, $\mathbb{H}^3$ or $\mathbb{R}^3$, and in the case when the map $\text{\it spacetime} \to \text{\it target space}$ is nontrivial.
We prove numerically the existence of black holes in this class of models for several Gauss-Bonnet coupling functions, including the case of scalarization.
We also perform systematic study of a variety of black hole characteristics and the space-time around them, such as the area of the horizon, the entropy and the radius of the photon sphere.

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