The effective sigma-model of multidimensional gravity
Abstract
The properties of the effective sigma-model for D-dimensional Einstein gravity based on multidimensional geometries is analyzed. Besides pure geometry, additional minimally coupled scalars and (p+2)-forms are considered which yield an extended target space after reduction to the effective D_0-dimensional geometry. In any case the target space is a homogeneous space. The orthobrane condition guarantees the existence of exact solutions. Geometrically, it makes the target space a locally symmetric one. New solutions with scalar fields are found, which may inflate not only in time-like but in also in additional spatial directions of the effective geometry. Static spherically symmetric solutions with a particular configuration of intersecting electric and magnetic branes are investigated both, for the orthobrane case and for degenerated charges. In both cases T_H depends critically on the intersection dimension of the p-branes. Finally, the role of the Einstein frame for 4-geometries is addressed, and the physical frame transformation for cosmological geometries is given.
Cite
@article{arxiv.gr-qc/9812031,
title = {The effective sigma-model of multidimensional gravity},
author = {M. Rainer},
journal= {arXiv preprint arXiv:gr-qc/9812031},
year = {2014}
}
Comments
37 pages, text slightly inproved, to appear in: J. Math. Phys