No inner-horizon theorem for black holes with charged scalar hairs
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Publication:2028409
DOI10.1007/JHEP03(2021)263zbMATH Open1461.83027arXiv2009.05520OpenAlexW3142958199WikidataQ113401729 ScholiaQ113401729MaRDI QIDQ2028409
Author name not available (Why is that?)
Publication date: 31 May 2021
Published in: (Search for Journal in Brave)
Abstract: We establish a no inner-horizon theorem for black holes with charged scalar hairs. Considering a general gravitational theory with a charged scalar field, we prove that there exists no inner Cauchy horizon for both spherical and planar black holes with non-trivial scalar hair. The hairy black holes approach to a spacelike singularity at late interior time. This result is independent of the form of scalar potentials as well as the asymptotic boundary of spacetimes. We prove that the geometry near the singularity takes a universal Kasner form when the kinetic term of the scalar hair dominates, while novel behaviors different from the Kasner form are uncovered when the scalar potential become important to the background. For the hyperbolic horizon case, we show that hairy black hole can only has at most one inner horizon, and a concrete example with an inner horizon is presented. All these features are also valid for the Einstein gravity coupled with neutral scalars.
Full work available at URL: https://arxiv.org/abs/2009.05520
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