Stationary solutions of the Dirac equation in the gravitational field of a charged black hole

Journal Article · Mon Jul 15 04:00:00 EDT 2013 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776113080049· OSTI ID:22210567

A stationary solution of the Dirac equation in the metric of a Reissner-Nordstroem black hole has been found. Only one stationary regular state outside the black hole event horizon and only one stationary regular state below the Cauchy horizon are shown to exist. The normalization integral of the wave functions diverges on both horizons if the black hole is non-extremal. This means that the solution found can be only the asymptotic limit of a nonstationary solution. In contrast, in the case of an extremal black hole, the normalization integral is finite and the stationary regular solution is physically self-consistent. The existence of quantum levels below the Cauchy horizon can affect the final stage of Hawking black hole evaporation and opens up the fundamental possibility of investigating the internal structure of black holes using quantum tunneling between external and internal states.

• OSTI ID: 22210567
• Journal Information: Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 1 Vol. 117; ISSN JTPHES; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
CAUCHY PROBLEM
DIRAC EQUATION
EVAPORATION
GRAVITATIONAL FIELDS
METRICS
TUNNEL EFFECT
WAVE FUNCTIONS