# Gravitational radiation in quadratic f(R) gravity

Näf, J; Jetzer, P (2011). Gravitational radiation in quadratic f(R) gravity. Physical Review D, 84(2):024027.

## Abstract

We investigate the gravitational radiation emitted by an isolated system for gravity theories with Lagrange density f(R)=R+aR2. As a formal result, we obtain leading order corrections to the quadrupole formula in general relativity. We make use of the analogy of f(R) theories with scalar-tensor theories, which in contrast to general relativity feature an additional scalar degree of freedom. Unlike general relativity, where the leading order gravitational radiation is produced by quadrupole moments, the additional degree of freedom predicts gravitational radiation of all multipoles, in particular, monopoles and dipoles, as this is the case for the most alternative gravity theories known today. An application to a hypothetical binary pulsar moving in a circular orbit yields the rough limit a≲1.7×1017m2 by constraining the dipole power to account at most for 1% of the quadrupole power as predicted by general relativity.

## Abstract

We investigate the gravitational radiation emitted by an isolated system for gravity theories with Lagrange density f(R)=R+aR2. As a formal result, we obtain leading order corrections to the quadrupole formula in general relativity. We make use of the analogy of f(R) theories with scalar-tensor theories, which in contrast to general relativity feature an additional scalar degree of freedom. Unlike general relativity, where the leading order gravitational radiation is produced by quadrupole moments, the additional degree of freedom predicts gravitational radiation of all multipoles, in particular, monopoles and dipoles, as this is the case for the most alternative gravity theories known today. An application to a hypothetical binary pulsar moving in a circular orbit yields the rough limit a≲1.7×1017m2 by constraining the dipole power to account at most for 1% of the quadrupole power as predicted by general relativity.

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Other titles: On gravitational radiation in quadratic $f(R)$ gravity Journal Article, refereed, original work 07 Faculty of Science > Institute for Computational Science 530 Physics English July 2011 19 Feb 2012 10:28 17 Feb 2018 14:25 American Physical Society 1550-7998 (P) 1089-4918 (E) Green https://doi.org/10.1103/PhysRevD.84.024027 http://arxiv.org/abs/1104.2200

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