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 \mu L \geq 1/2; moreover, we determine the essential spectrum of the Hamiltonian. Then we focus on the analysis of the discharge problem for the case \mu L \geq 1/2. We follow the Ruffini–Damour–Deruelle approach and, as in the standard Reissner–Nordstrom 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
BELGIORNO, FRANCESCO DOMENICO;
2008-01-01
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 \mu L \geq 1/2; moreover, we determine the essential spectrum of the Hamiltonian. Then we focus on the analysis of the discharge problem for the case \mu L \geq 1/2. We follow the Ruffini–Damour–Deruelle approach and, as in the standard Reissner–Nordstrom 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
