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.

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.

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## Additional indexing

Other titles: | On gravitational radiation in quadratic $f(R)$ gravity |
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Item Type: | Journal Article, refereed, original work |

Communities & Collections: | 07 Faculty of Science > Institute for Computational Science |

Dewey Decimal Classification: | 530 Physics |

Language: | English |

Date: | July 2011 |

Deposited On: | 19 Feb 2012 10:28 |

Last Modified: | 05 Apr 2016 15:20 |

Publisher: | American Physical Society |

ISSN: | 1550-7998 (P) 1089-4918 (E) |

Publisher DOI: | 10.1103/PhysRevD.84.024027 |

Related URLs: | http://arxiv.org/abs/1104.2200 |

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