The renormalized charged scalar current in the Reissner-Nordström-de Sitter spacetime

Abstract

We perform a Hadamard point-split renormalization of the current density $j_{\nu }$ of a charged scalar field in a Reissner-Nordström-de Sitter spacetime. We compute numerically the expectation values of the components $j_r$ and $j_t$ in the Unruh state in the exterior region and study their dependence on the field parameters and the position.

12 pages, 5 figures, version as accepted for PRD

References in corpus (7)

• Quasinormal modes and Strong Cosmic Censorship
• Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
• Charged scalar field instability between the event and cosmological horizons
• Mode-sum regularization of $⟨{\varphi }^2⟩$ in the angular-splitting method
• Two-point function of a quantum scalar field in the interior region of a Reissner-Nordstrom black hole
• Quantum superradiance on static black hole space-times
• The current density in quantum electrodynamics in external potentials

Cited by in corpus (7)

• Quantum (dis)charge of black hole interiors
• Quantization of a charged scalar field on a charged black hole background
• Infinite quantum twisting at the Cauchy horizon of rotating black holes
• Strong Cosmic Censorship and Eigenvalue Repulsions for rotating de Sitter black holes in higher-dimensions
• Immortality through the dark forces: Dark-charge primordial black holes as dark matter candidates
• Computation of $⟨{\Phi }^2⟩$ and quantum fluxes at the polar interior of a spinning black hole
• Quantum kicks near a Cauchy horizon