Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2012-03-30
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Version accepted for publication in the International Journal of Modern Physics D. arXiv admin note: substantial text overlap
Scientific paper
10.1142/S021827181250037X
It is believed that soon after the Planck time, Einstein's general relativity theory should be corrected to an effective quadratic theory. Numerical solutions for the anisotropic generalization of the Friedmann "flat" model $E^3$ for this effective gravity are given. It must be emphasized that although numeric, these solutions are exact in the sense that they depend only on the precision of the machine. The solutions are identified asymptotically in a certain sense. It is found solutions which asymptote de Sitter space, Minkowski space and a singularity. This work is a generalization for non diagonal spatial metrics of a previous result obtained by one of us and a collaborator for Bianchi $I$ spaces.
de Deus Juliano A.
Muller Daniel
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