Conformally Invariant Gravitational Waves in a Modified Gravitational Theory

Physics

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Scientific paper

An attempt is made to obtain a conformally invariant gravitational wave equation in an isotropic background universe by modifying the Einstein field equation through a correction term proposed in the Hilbert Lagrangian in the form of a series of finite terms in R (≡ g ik R ik ). It is shown that only those waves which are described by Bessel function J 0( mη) in curved background can be transformed as classically periodic waves in flat background [without restricting the scale factor a(η)].

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