Gödel Type Solution of an f(R) Theory of Gravitation
Keywords:
f(R) theory of gravity, Gödel metric, Ricci Curvature Tensor, Einstein field equation, Hilbert-LagrangianAbstract
In this paper, we have studied higher order theory of gravity which is based on conformal non-invariance of gravitational waves. These waves are an inevitable consequence of Einstein theory which is non-conformally invariant unlike electromagnetic waves. In this paper, we have solved these field equations by considering time independent cylindrically symmetric space-time and demonstrated Gödel space-time as a particular case. We also compared its result to Einstein’s field equation with cosmological constant.
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