Stability of the Cauchy horizon in accelerating black-hole spacetimes

Kyriakos Destounis, Rodrigo D. B. Fontana, and Filipe C. Mena
Phys. Rev. D 102, 104037 – Published 13 November 2020

Abstract

The extendibility of spacetime and the existence of weak solutions to the Einstein field equations beyond Cauchy horizons is a crucial ingredient to examine the limits of general relativity. Strong cosmic censorship serves as a firewall for gravitation by demanding the inextendibility of spacetime beyond the Cauchy horizon. For asymptotically flat spacetimes, the predominance of the blueshift instability and the subsequent formation of a mass-inflation singularity at the Cauchy horizon have, so far, substantiated the conjecture. Accelerating black holes, described by the C metric, are exact solutions of the field equations without a cosmological constant, which possess an acceleration horizon with similar causal properties to the cosmological horizon of de Sitter spacetime. Here, by considering linear scalar field perturbations, we provide numerical evidence for the stability of the Cauchy horizon of charged accelerating black holes. In particular, we show that the stability of Cauchy horizons in accelerating charged black holes is connected to quasinormal modes, discuss the regularity requirement for which weak solutions to the field equations exist at the Cauchy horizon, and show that strong cosmic censorship may be violated near extremality.

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  • Received 17 May 2020
  • Accepted 16 October 2020

DOI:https://doi.org/10.1103/PhysRevD.102.104037

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Kyriakos Destounis1,*, Rodrigo D. B. Fontana2, and Filipe C. Mena3,4

  • 1Theoretical Astrophysics, IAAT, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany
  • 2Universidade Federal da Fronteira Sul, Campus Chapecó-SC Rodovia SC 484—Km 02, CEP 89815-899, Brasil
  • 3Centro de Análise Matemática, Geometria e Sistemas Dinâmicos, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal
  • 4Centro de Matemática, Universidade do Minho, 4710-057 Braga, Portugal

  • *kyriakos.destounis@uni-tuebingen.de

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Issue

Vol. 102, Iss. 10 — 15 November 2020

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