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No scalar-haired Cauchy horizon theorem in Einstein-Maxwell-Horndeski theories

Deniz O. Devecioğlu, Mu-In Park

Physics Letters B · 2022

doi:10.1016/j.physletb.2022.137107 (opens in a new tab)

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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 study an extension of 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.

Abstract licence: CC BY

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