Homogeneous Solutions of Quadratic Gravity

Details Homogeneous Solutions of Quadratic Gravity Homogeneous Solutions of Quadratic Gravity

2011-07-18

arxiv.org/abs/1107.3570v1

IJMPCS, Vol. 3, 111, (2011)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

talk presented in the 8th Friedmann Seminar, 30 May - 03 June 2011, Rio de Janeiro, Brazil

Scientific paper

10.1142/S2010194511001206

It is believed that soon after the Planck time, Einstein's general relativity theory should be corrected to an effective quadratic theory. In this work we present the 3+1 decomposition for the zero vorticity case for arbitrary spatially homogenous spaces. We specialize for the particular Bianchi $I$ diagonal case. The 3- curvature can be understood as a generalized potential, and the Bianchi $I$ case is a limiting case where this potential is negligible to the dynamics. The spirit should be analogous, in some sense to the BKL solution. In this sense, a better understanding of the Bianchi $I$ case could shed some light into the general Bianchi case.

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