An f(R) Theory of Gravity Motivated by Gravitational Waves
Sadanand Pandey
(Unitech, Lae, PNG)
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Gravitational waves are an inevitable consequence of Einstein theory of gravitation but they are not conformally flat as electromagnetic waves. It requires to modify Einstein theory to obtain conformally flat gravitational waves. So we attempted to modify Einstein theory by taking Lagrangian a polynomial in R without associating it with scalar field or mesonic field or so. Some of the consequences of this theory are also discussed.