Gravitational collapse in loop quantum gravity
Oct, 2006Citations per year
Abstract: (arXiv)
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.- quantum gravity: loop space
- gravitation: collapse
- black hole: Schwarzschild
- black hole: horizon
- space-time: Robertson-Walker
- space-time: Kantowski-Sachs
- Hamiltonian formalism: constraint
- holonomy
- quantization: polymer
- Hilbert space: kinematics
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