Tensor-multi-scalar theories from multidimensional cosmology
General Relativity and Quantum Cosmology
2009-10-28 v1
Abstract
Inhomogeneous multidimensional cosmological models with a higher dimensional space-time manifold M=M_0 x M_1 x ... M_n are investigated under dimensional reduction to tensor-multi-scalar theories. In the Einstein conformal frame, these theories take the shape of a flat sigma-model. For the singular case where M_0 is 2-dimensional, the dimensional reduction to dilaton gravity is preformed with different distinguished representations of the action.
Cite
@article{arxiv.gr-qc/9608020,
title = {Tensor-multi-scalar theories from multidimensional cosmology},
author = {M. Rainer and A. Zhuk},
journal= {arXiv preprint arXiv:gr-qc/9608020},
year = {2009}
}
Comments
14 pages, latex, to appear in Phys. Rev. D