Exact solutions in multidimensional gravity with a sigma model source

Details Exact solutions in multidimensional gravity with a sigma model source Exact solutions in multidimensional gravity with a sigma model source

2012-03-31

arxiv.org/abs/1204.0091v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, Latex

Scientific paper

We consider a multidimensional model of gravity with non-linear "scalar fields" as a matter source. The model is defined on the product manifold M, which contains n Einstein factor spaces. General cosmological type solutions to the field equations are obtained when n-1 factor spaces are Ricci-flat, e.g. when one space M_1 of dimension d_1 > 1 has nonzero scalar curvature. The solutions are defined up to solutions to geodesic equations corresponding to a sigma model target space. Several examples of sigma models are presented. A subclass of spherically-symmetric solutions is studied and a restricted version of "no-hair theorem" for black holes is proved. For the case d_1 =2 a subclass of latent soliton solutions is singled out.

Affiliated with

Also associated with

No associations

Rating

Exact solutions in multidimensional gravity with a sigma model source does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exact solutions in multidimensional gravity with a sigma model source, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact solutions in multidimensional gravity with a sigma model source will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-656681