Quantum properties of the electron field in Kerr-Newman black hole manifolds

Abstract

We study some spectral features of the one-particle electron Hamiltonian obtained by separating the Dirac equation in a Kerr-Newman black hole background. We find that the essential spectrum includes the whole real line. As a consequence, there is no gap in the spectrum and discrete eigenvalues are not allowed for any value of the black hole charge $Q$ and angular momentum $J$. Our spectral analysis will be also related to the dissipation of the black hole angular momentum and charge.

9 pages, uses revtex

References in corpus (1)

• Radiation from the extremal black holes

Cited by in corpus (15)

• Scalar, Electromagnetic and Gravitational Perturbations of Kerr-Newman Black Holes in the Slow-Rotation Limit
• Graphene properties from curved space Dirac equation
• Separability of the massive Dirac's equation in 5-dimensional Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano tensor
• Spectral Analysis of Radial Dirac Operators in the Kerr-Newman Metric and its Applications to Time-periodic Solutions
• The massive Dirac equation in the Kerr-Newman-de Sitter and Kerr-Newman black hole spacetimes
• The Dirac Equation in Kerr-Newman-AdS Black Hole Background
• 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
• Quantum instability for charged scalar particles on charged Nariai and ultracold black hole manifolds
• Analysis of half-spin particle motion in Kerr-Newman field by means of effective potentials in second-order equations
• The Dirac point electron in zero-gravity Kerr--Newman spacetime
• Naked Reissner-Nordström Singularities and the Anomalous Magnetic Moment of the Electron Field
• Stationary solutions of the second-order equation for fermions in Kerr-Newman space-time
• Quantum properties of the Dirac field on BTZ black hole backgrounds
• On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime