Quantum fluxes at the inner horizon of a spinning black hole - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review Letters Année : 2022

Quantum fluxes at the inner horizon of a spinning black hole

Noa Zilberman
  • Fonction : Auteur
Amos Ori
  • Fonction : Auteur
Adrian C. Ottewill
  • Fonction : Auteur

Résumé

Rotating or charged classical black holes in isolation possess a special surface in their interior, the Cauchy horizon, beyond which the evolution of spacetime (based on the equations of General Relativity) ceases to be deterministic. In this work, we study the effect of a quantum massless scalar field on the Cauchy horizon inside a rotating (Kerr) black hole that is evaporating via the emission of Hawking radiation (corresponding to the field being in the Unruh state). We calculate the flux components (in Eddington coordinates) of the renormalized stress-energy tensor of the field on the Cauchy horizon, as functions of the black hole spin and of the polar angle. We find that these flux components are generically non-vanishing. Furthermore, we find that the flux components change sign as these parameters vary. The signs of the fluxes are important, as they provide an indication of whether the Cauchy horizon expands or crushes (when backreaction is taken into account). Regardless of these signs, our results imply that the flux components generically diverge on the Cauchy horizon when expressed in coordinates which are regular there. This is the first time that irregularity of the Cauchy horizon under a semiclassical effect is conclusively shown for (four-dimensional) spinning black holes.

Dates et versions

hal-03625938 , version 1 (31-03-2022)

Identifiants

Citer

Noa Zilberman, Marc Casals, Amos Ori, Adrian C. Ottewill. Quantum fluxes at the inner horizon of a spinning black hole. Physical Review Letters, 2022, 129 (26), pp.261102. ⟨10.1103/PhysRevLett.129.261102⟩. ⟨hal-03625938⟩
15 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More