Axisymmmetric Empty Space: Light Propagation, Orbits and Dark Matter

Sergio Giardino^*

Instituto de Matemática, Estatística e Computacao Científica, Universidade Estadual de Campinas, Campinas, Brazil.

DOI: 10.4236/jmp.2014.515141                

Abstract

This study presents an axisymmetric solution of the Einstein equations for empty space. The geometry is studied by determining its Petrov classification and killing vectors. Light propagation, orbital motion and asymptotic and Newtonian limits are also studied. Additionally, cosmological applications of the geometry are also outlined as an alternative model for the inflationary universe and as a substitute for dark matter and quintessence.

Keywords

General Relativity, Exact Solutions, Dark Energy

Conflicts of Interest

The authors declare no conflicts of interest.

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