Gravitational collapse in loop quantum gravity

Details Gravitational collapse in loop quantum gravity Gravitational collapse in loop quantum gravity

2006-10-14

arxiv.org/abs/gr-qc/0610074v1

Int.J.Theor.Phys.47:357-373,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 2 figures

Scientific paper

10.1007/s10773-007-9458-3

In this paper we study the gravitational collapse in loop quantum gravity. We consider the space-time region inside the Schwarzschild black hole event horizon and we divide this region in two parts, the first one where the matter (dust matter) is localized and the other (outside) where the metric is Kantowski-Sachs type. We calculate the state solving Hamiltonian constraint and we obtain a set of three difference equations that give a regular and natural evolution beyond the classical singularity point in "r=0" localized.

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