A perturbative solution for gravitational waves in quadratic gravity

Abstract

We find a gravitational wave solution to the linearized version of quadratic gravity by adding successive perturbations to the Einstein's linearized field equations. We show that only the Ricci squared quadratic invariant contributes to give a different solution of those found in Einstein's general relativity. The perturbative solution is written as a power series in the $\beta$ parameter, the coefficient of the Ricci squared term in the quadratic gravitational action. We also show that, for monochromatic waves of a given angular frequency $\omega$, the perturbative solution can be summed out to give an exact solution to linearized version of quadratic gravity, for $0<\omega <c/\mid \beta {\mid }^{1/2}$. This result may lead to implications to the predictions for gravitational wave backgrounds of cosmological origin.

9 pages, to appear in CQG

References in corpus (2)

• Sub-millimeter tests of the gravitational inverse-square law: A search for "large" extra dimensions
• Gravitational Rainbow

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• Geodesic deviation in pp-wave spacetimes of quadratic curvature gravity
• Lukewarm black holes in quadratic gravity
• Gravitational wave solutions of quadratic curvature gravity using a null coframe formulation
• Gravitational waves in the extended theory of gravity