Gravitational Waves from Isotropisation process in Quadratic Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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It is believed that soon after the Planck era, spacetime should have a semi-classical nature. According to this idea, it is unavoidable to modify the General Relativity theory or look for alternative theories of gravitation. An interesting alternative found in the literature is to take into account two geometric counter-terms to regularize the divergences from the effective action. These counter-terms are responsible for a higher derivative metric theory of gravitation. In the present article, our main aim is to investigate if the process of isotropisation, which could well occur naturally in such a higher derivative metric theory, could generate gravitational waves. First of all, in order to proceed with such an investigation, we evaluate the time evolution of the resulting Weyl's scalars. Then, we follow with a perturbative approach considering that the background metric is given by the Minkowski spacetime. Our entire analysis is restricted to the particular Bianchi I case.

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