Cosmological Gravitational Wave in a Gravity with Quadratic Order Curvature Couplings

Abstract

We present a set of equations describing the cosmological gravitational wave in a gravity theory with quadratic order gravitational coupling terms which naturally arise in quantum correction procedures. It is known that the gravitational wave equation in the gravity theories with a general $f(R)$ term in the action leads to a second order differential equation with the only correction factor appearing in the damping term. The case for a $R^{ab}{R}_{ab}$ term is completely different. The gravitational wave is described by a fourth order differential equation both in time and space. However, curiously, we find that the contributions to the background evolution are qualitatively the same for both terms.

4 pages, revtex, no figures

References in corpus (2)

• Unified Analysis of Cosmological Perturbations in Generalized Gravity
• One loop renormalization of the four-dimensional theory for quantum dilaton gravity.

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