TITLE:
Axisymmmetric Empty Space: Light Propagation, Orbits and Dark Matter
AUTHORS:
Sergio Giardino
KEYWORDS:
General Relativity, Exact Solutions, Dark Energy
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.15,
September
17,
2014
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.