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Semiclassical methods in curved spacetime and black hole thermodynamics

2004/12/31 by Horacio E. Camblong, Carlos Ordońẽz, Carlos R. Ordonez · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1103/physrevd.71.124040

published as Phys.Rev. D71 (2005) 124040 · 18 pages. Sections 1 through 4 were reduced by eliminating inessential equations and paragraphs; additional comments were added in Section 5. A few typos were corrected. The central equations and concepts remain unchanged

openalex publication_date 2005/06/29 · arxiv created 2005/06/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Improved semiclassical techniques are developed and applied to a treatment of a real scalar field in a D-dimensional gravitational background. This analysis, leading to a derivation of the thermodynamics of black holes, is based on the simultaneous use of (i) a near-horizon description of the scalar field in terms of conformal quantum mechanics; (ii) a novel generalized WKB framework; and (iii) curved-spacetime phase-space methods. In addition, this improved semiclassical approach is shown to be asymptotically exact in the presence of hierarchical expansions of a near-horizon type. Most importantly, this analysis further supports the claim that the thermodynamics of black holes is induced by their near-horizon conformal invariance.

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