Existence of a semiclassical approximation in loop quantum gravity

DOI10.1007/S10714-005-0185-XzbMATH Open1093.83011arXivhep-th/0411245OpenAlexW3101071730MaRDI QIDQ2494046

Marco Frasca

Publication date: 16 June 2006

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Abstract: We consider a spherical symmetric black hole in the Schwarzschild metric and apply Bohr-Sommerfeld quantization to determine the energy levels. The canonical partition function is then computed and we show that the entropy coincides with the Bekenstein-Hawking formula when the maximal number of states for the black hole is the same as computed in loop quantum gravity, proving in this case the existence of a semiclassical limit and obtaining an independent derivation of the Barbero-Immirzi parameter.

Full work available at URL: https://arxiv.org/abs/hep-th/0411245

zbMATH Keywords

energy levelBlack holeImmirzi parameter

Mathematics Subject Classification ID

Black holes (83C57) Quantization of the gravitational field (83C45)

Cites Work

• Title not available (Why is that?)
• Quantum Geometry and Black Hole Entropy
• The spectrum of rotating black holes and its implications for Hawking radiation
• Black-hole entropy from quantum geometry
• Black-hole entropy in loop quantum gravity
• Quantum Gravity

Related Items (2)

Flux formulation of loop quantum gravity: classical framework ⋮ Semiclassical approximation of the Wheeler-DeWitt equation: arbitrary orders and the question of unitarity

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