Semiclassical quantisation of space-times with apparent horizons

Details Semiclassical quantisation of space-times with apparent horizons Semiclassical quantisation of space-times with apparent horizons

2005-05-03

arxiv.org/abs/gr-qc/0505017v2

Class.Quant.Grav. 23 (2006) 635-672

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

52 pages, 4 figures

Scientific paper

10.1088/0264-9381/23/3/007

Coherent or semiclassical states in canonical quantum gravity describe the classical Schwarzschild space-time. By tracing over the coherent state wavefunction inside the horizon, a density matrix is derived. Bekenstein-Hawking entropy is obtained from the density matrix, modulo the Immirzi parameter. The expectation value of the area and curvature operator is evaluated in these states. The behaviour near the singularity of the curvature operator shows that the singularity is resolved. We then generalise the results to space-times with spherically symmetric apparent horizons.

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