Test compatible metrics and 2-branes
Abstract
Description
We propose a sufficient condition for a general spherical symmetric static metric to be compatible with classical tests of gravity. A 1-parametric class of such metrics are constructed.
The Schwarzschild metric as well as the Yilmaz-Rosen metric are in this class.
By computing the scalar curvature we show that the non-Schwarzschild metrics can be interpreted as close 2-branes.
All the manifolds endowed the described metrics contain in a class of pseudo-Riemannian manifolds with a scalar curvature of a fixed sign.
3 pages, 3 figures
3 pages, 3 figures