Revisiting the quantum scalar field in spherically symmetric quantum gravity

Details Revisiting the quantum scalar field in spherically symmetric quantum gravity Revisiting the quantum scalar field in spherically symmetric quantum gravity

2012-01-20

arxiv.org/abs/1201.4229v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages

Scientific paper

We extend previous results in spherically symmetric gravitational systems coupled with a massless scalar field within the loop quantum gravity framework. As starting point, we take the Schwarzschild spacetime. The results presented here rely on the uniform discretization method. We are able to minimize the associated discrete master constraint using a variational method. The trial state for the vacuum consists of a direct product of a Fock vacuum for the matter part and a Gaussian centered around the classical Schwarzschild solution. This paper follows the line of research presented by Gambini, Pullin and Rastgoo and a comparison between their result and the one given in this work is made.

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