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  • Letter

Long-range correlations of the stress tensor near the Cauchy horizon

Christiane Klein1,2,3,* and Jochen Zahn1,†

  • 1Institut für Theoretische Physik, Universität Leipzig, Brüderstraße 16, 04103 Leipzig, Germany
  • 2Université Grenoble Alpes, CNRS, IF, 38000 Grenoble, France
  • 3AGM, CY Cergy Paris Université, 2 avenue Adolphe Chauvin 95302 Cergy-Pontoise, France

  • *klein@itp.uni-leipzig.de
  • †jochen.zahn@itp.uni-leipzig.de

Phys. Rev. D 109, L061702 – Published 25 March, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L061702

Abstract

We show that the stress tensor of a real scalar quantum field on Reissner-Nordström-de Sitter spacetime exhibits correlations over macroscopic distances near the Cauchy horizon. These diverge as the Cauchy horizon is approached and are universal, i.e., state independent. This signals a breakdown of the semiclassical approximation near the Cauchy horizon. We also investigate the effect of turning on a charge of the scalar field and consider the correlation of the stress tensor between the two poles of the Cauchy horizon of Kerr-de Sitter spacetime.

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