Numerical Bianchi I solutions in semi-classical gravitation

Details Numerical Bianchi I solutions in semi-classical gravitation Numerical Bianchi I solutions in semi-classical gravitation

2006-04-28

arxiv.org/abs/gr-qc/0604127v2

Phys.Rev.D74:063508,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Accepted for publication in PRD. More references included, a few modifications in the text

Scientific paper

10.1103/PhysRevD.74.063508

It is believed that soon after the Planck era, spacetime should have a semi-classical nature. In this context we consider quantum fields propagating in a classical gravitational field and study the backreaction of these fields, using the expected value of the energy-momentum tensor as source of the gravitational field. According to this theory, the escape from General Relativity theory is unavoidable. Two geometric counter-term are needed to regularize the divergences which come from the expected value. There is a parameter associated to each counter-term and in this work we found numerical solutions of this theory to particular initial conditions, for general Bianchi Type I spaces. We show that even though there are spurious solutions some of them can be considered physical. These physical solutions include de Sitter and Minkowski that are obtained asymptotically.

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