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.
|Titolo:||Quantum effects for the Dirac field in a Reissner–Nordstrom–AdS black hole background|
BELGIORNO, FRANCESCO DOMENICO (Primo)
|Data di pubblicazione:||2008|
|Digital Object Identifier (DOI):||10.1088/0264-9381/25/10/105013|
|Appare nelle tipologie:||01 - Articolo su periodico|