Wave function for the Reissner-Nordström black hole - INSPIRE

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Wave function for the Reissner-Nordström black hole

P.V. Moniz
(
- Cambridge U.
)

Sep, 1997

13 pages

Published in:

Mod.Phys.Lett.A 12 (1997) 1491-1505

e-Print:

gr-qc/9709080 [gr-qc]

DOI:

10.1142/S0217732397001527

Report number:

DAMTP-R-97-23

View in:

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Abstract: (arXiv)

We study the quantum behaviour of Reissner-Nordstr\"om (RN) black-holes interacting with a complex scalar field. A Maxwell field is also present. Our analysis is based on M. Pollock's method and is characterized by solving a Wheeler-DeWitt equation in the proximity of an apparent horizon of the RN space-time. Subsequently, we obtain a wave-function

\Psi_{RN}[M, Q]

representing the RN black-hole when its charge,

\mid Q \mid

, is small in comparison with its mass,

M

. We then compare quantum-mechanically the cases of

(i)

Q = 0

and

(ii)

M \geq \mid Q \mid \neq 0

. A special emphasis is given to the evolution of the mass-charge rate affected by Hawking radiation.

Note:

13 pages, LaTeX

black hole: Reissner-Nordstroem
quantization
wave function
field theory: scalar
Maxwell equation
Wheeler-DeWitt equation
radiation: Hawking
Hamiltonian formalism
horizon
mass

References(22)

Figures(0)

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