Quantum instability for charged scalar particles on charged Nariai and ultracold black hole manifolds

Abstract

We analyze in detail the quantum instability which characterizes charged scalar field on three special de Sitter charged black hole backgrounds. In particular, we compute exactly the imaginary part of the effective action for scalar charged fields on the ultracold I, ultracold II and Nariai charged black hole backgrounds. Both the transmission coefficient approach and the $\zeta$-function approach are exploited. Thermal effects on this quantum instability are also taken into account in presence of a non-zero black hole temperature (ultracold I and Nariai).

20 pages, IOP style

References in corpus (6)

• Improved Approximations for Fermion Pair Production in Inhomogeneous Electric Fields
• Analytic results for the effective action
• Schwinger Pair Production at Finite Temperature in QED
• Quantum Effects for the Dirac Field in Reissner-Nordstrom-AdS Black Hole Background
• Massive Dirac particles on the background of charged de-Sitter black hole manifolds
• Pair-production of charged Dirac particles on charged Nariai and ultracold black hole manifolds

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• One-Loop Effective Action and Schwinger Effect in (Anti-) de Sitter Space
• Schwinger Effect from Near-extremal Black Holes in (A)dS Space
• Spinor Particle Creation in Near Extremal Reissner-Nordstrom Black Holes
• Characters, quasinormal modes, and Schwinger pairs in $d{S}_2$ with flux
• Quantum properties of the Dirac field on BTZ black hole backgrounds
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Tunneling method for Hawking radiation in the Nariai case
• Reissner-Nordström black holes in de Sitter space-time: bounds with quasinormal frequencies