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No Scalar-Haired Cauchy Horizon Theorem in Einstein-Maxwell-Horndeski Theories
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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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Cited by 2 Pith papers
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Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity
In spherical f(R) gravity, a regular outer horizon followed by an ingoing segment with mixed matter-scalaron source at or below F/r^2 cannot be followed by a second regular inner marginal horizon on the same generator.
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On static and rotating decoupled black holes without inner horizons
The authors construct a family of static and rotating black hole metrics with an extra 1/r^n hair that, for negative hair parameter, removes the Cauchy horizon and makes the central singularity spacelike.
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