Relativity and Cosmology

    

The Application of F(R)=R^2 Gravity in Gravitational Waves

Authors: Maria Giannopoulou

In this paper I study the applications of the f(R)=R^2 gravity in gravitational waves. The choice of this action emerges naturally from the field equations of a general action f(R) in order to get a wave equation of the scalar curvature R and the Ricci tensor Rìí. The new field equations (NFE) seem to be applicable to non-conservative systems (as a collapsing binary). They are derived from the action of f(R)=R^2 assuming that the Lagrangian matter depends on gìí and xë: L(gìí, xë). The radiated energy causes a non-static space-time. In the case of gravitational waves these equations turn out to be more general than the existing ones that are being produced from the action of f(R)=R. They predict both the transverse as well as the longitudinal and time oscillations.

Comments: 19 Pages.

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Submission history

[v1] 2021-11-03 06:12:07

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