Solutions of weakened field equations in Gödel space-time

Abstract

We have solved Weakened field equations, collected work of Lovelock for cylindrically symmetric G¨odel type spacetime. A comparative study of these solutions to solution of Einstein’s field equation have shown. Conformality of Gödel spacetime has discussed with vanishing and non-vanishing scalar curvature of the spacetime.

Keywords

• Weyl tensor
• Conformal property
• Bianchi identity
• Alternative theory of gravitation