Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-11-14
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
3 pages, 3 figures
Scientific paper
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.
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