The behavior of a charged massive Dirac field on a Reissner–Nordstrom–AdS black hole background is investigated. We first analyze the problem of the essential self-adjointness of the Dirac Hamiltonian, which is made difficult by the boundary-like behavior of spatial infinity, and we find that the Hamiltonian is essentially self-adjoint iff μL \geq 12 ; moreover, we determine the essential spectrum of the Hamiltonian. Then we focus on the analysis of the discharge problem for the case μL \geq 12 . We follow the Ruffini–Damour–Deruelle approach and, as in the standard Reissner–Nordstr¨om black hole case, we find that the existence of level-crossing between the positive and negative energy solutions of the Dirac equation is at the root of the pair-creation process associated with the discharge of the black hole.
Quantum effects for the Dirac field in a Reissner–Nordstrom–AdS black hole background / F. Belgiorno, S.L. Cacciatori. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 25:10(2008), pp. 105013.105013-1-105013.105013-18. [10.1088/0264-9381/25/10/105013]
Quantum effects for the Dirac field in a Reissner–Nordstrom–AdS black hole background
F. BelgiornoPrimo
;
2008
Abstract
The behavior of a charged massive Dirac field on a Reissner–Nordstrom–AdS black hole background is investigated. We first analyze the problem of the essential self-adjointness of the Dirac Hamiltonian, which is made difficult by the boundary-like behavior of spatial infinity, and we find that the Hamiltonian is essentially self-adjoint iff μL \geq 12 ; moreover, we determine the essential spectrum of the Hamiltonian. Then we focus on the analysis of the discharge problem for the case μL \geq 12 . We follow the Ruffini–Damour–Deruelle approach and, as in the standard Reissner–Nordstr¨om black hole case, we find that the existence of level-crossing between the positive and negative energy solutions of the Dirac equation is at the root of the pair-creation process associated with the discharge of the black hole.Pubblicazioni consigliate
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