STATIC AXIALLY SYMMETRIC VACUUM SOLUTIONS OF EINSTEIN’S EQUATIONS

Abstract

Exact analytic solutions of Einstein’s equations are difficult because of the high nonlinearity of the equations. Many researchers have shown that field equations for static spherically symmetric and cylindrically symmetric space-times to get physical solutions. Besides, solutions with axial symmetry are less studied.  In this paper, we have demonstrated the technique for generating static axially symmetric vacuum solutions from known solutions. Using the technique some new realistic solutions is generated.

Cite as

M. A. Kauser, & Q. Islam. (2020). Static Axially Symmetric Vacuum Solutions of Einstein's Equations. Journal of Applied Mathematics and Statistical Analysis, 1(3), 1–10. http://doi.org/10.5281/zenodo.4301527