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arXiv · 2101.10116

No Scalar-Haired Cauchy Horizon Theorem in Einstein-Maxwell-Horndeski Theories

Deniz O. Devecioglu·Mu-In Park
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Abstract

Recently, a no inner (Cauchy) horizon theorem for static black holes with non-trivial scalar hairs has been proved in Einstein-Maxwell-scalar theories. In this paper, we extend the theorem to the static black holes in Einstein-Maxwell-Horndeski theories. We study the black hole interior geometry for some exact solutions and find that the spacetime has a (space-like) curvature singularity where the black hole mass gets an extremum and the Hawking temperature vanishes. We discuss further extensions of the theorem, including general Horndeski theories from disformal transformations.

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Deniz O. Devecioglu, Mu-In Park. 2021-01-25. No Scalar-Haired Cauchy Horizon Theorem in Einstein-Maxwell-Horndeski Theories. https://doi.org/10.1016/j.physletb.2022.137107

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