Author(s)

Sergio Giardino^*

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

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.

General Relativity, Exact Solutions, Dark Energy

Giardino, S. (2014) Axisymmmetric Empty Space: Light Propagation, Orbits and Dark Matter. Journal of Modern Physics, 5, 1402-1411. doi: 10.4236/jmp.2014.515141.