On Quantum deformation of the Schwarzschild solution

Kazakov, D.I.; Solodukhin, S.N.

doi:10.1016/S0550-3213(94)80045-6

On Quantum deformation of the Schwarzschild solution

D.I. Kazakov
(
- Dubna, JINR
)
,
S.N. Solodukhin
(
- Dubna, JINR
)

Oct, 1993

24 pages

Published in:

Nucl.Phys.B 429 (1994) 153-176

e-Print:

hep-th/9310150 [hep-th]

DOI:

10.1016/S0550-3213(94)80045-6

Report number:

JINR-E2-93-371

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Abstract:

We consider the deformation of the Schwarzschild solution in general relativity due to spherically symmetric quantum fluctuations of the metric and the matter fields. In this case, the 4D theory of gravity with Einstein action reduces to the effective two-dimensional dilaton gravity. We have found that the Schwarzschild singularity at

r=0

is shifted to the finite radius

r_{min} \sim r_{Pl}

, where the scalar curvature is finite, so that the space-time looks regular and consists of two asymptotically flat sheets glued at the hypersurface of constant radius.

quantum gravity
space-time: Schwarzschild
dimension: 4
space-time: deformation
gravitation: dilaton
dimension: 2
quantization: correction
field equations: solution
anomaly
numerical calculations

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