Topological Properties from Einstein's Equations?

Details Topological Properties from Einstein's Equations? Topological Properties from Einstein's Equations?

2011-08-24

arxiv.org/abs/1108.4821v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, accepted for publication in Int. J. Mod. Phys. A

Scientific paper

In this work we propose a new procedure for to extract global information of a space-time. We considered a space-time immersed in a higher dimensional space and we formulate the equations of Einstein through of the Frobenius conditions to immersion. Through of an algorithm and the implementation into algebraic computing system we calculate normal vectors from the immersion to find out the second fundamental form. We make a application for space-time with spherical symmetry and static. We solve the equations of Einstein to the vacuum and we obtain space-times with different topologies.

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