Classical and Quantum GravityOpen Access

TOPOLOGICAL PROPERTIES FROM EINSTEIN'S EQUATIONS

EDMUNDO M. MONTE

Departamento de Física, Universidade Federal da Paraíba, João Pessoa, PB 58059-970, Brazil

Departamento de Geometria y Topologia, Universidad de Granada, E-18071, Spain

https://doi.org/10.1142/S2010194511001188Cited by:0 (Source: Crossref)

Abstract

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

Keywords:

PACS: 02.40.Ky, 04.20.Cv, 04.50.Kd

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