Gödel Type Solution of an f(R) Theory of Gravitation

Aditya Mishra, Shyam Narayan, Pandey
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.