Two-dimensional quantum corrected eternal black hole
Jun, 199528 pages
Published in:
- Phys.Rev.D 53 (1996) 824-835
e-Print:
- hep-th/9506206 [hep-th]
Report number:
- JINR-E2-95-280
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Abstract:
The one-loop quantum corrections to geometry and thermodynamics of black hole are studied for the two-dimensional RST model. We chose boundary conditions corresponding to the eternal black hole being in the thermal equilibrium with the Hawking radiation. The equations of motion are exactly integrated and we obtain the quantum-corrected metric (\ref{solution}) written in the Schwarzschild like form which is a deformation of the classical black hole solution \cite{5d}. The space-time singularity occurs to be milder than in classics and the solution admits two asymptotically flat black hole space-times lying at "different sides" of the singularity. The thermodynamics of the classical black hole and its quantum counterpart is formulated. The thermodynamical quantities (energy, temperature, entropy) are calculated and occur to be the same for both the classical and quantum-corrected black holes. So, no quantum corrections to thermodynamics are observed. The possible relevance of the results obtained to the four-dimensional case is discussed.- gravitation: dilaton
- black hole: boundary condition
- radiation: Hawking
- dimension: 2
- correction: higher-order
- space-time: singularity
- black hole: mass
- mass: black hole
- energy
- temperature
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