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.

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.

## Citations

11 citations in Web of Science®
6 citations in Scopus®

## Altmetrics

Detailed statistics

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 05 Apr 2016 15:20 American Physical Society 1550-7998 (P) 1089-4918 (E) https://doi.org/10.1103/PhysRevD.84.024027 http://arxiv.org/abs/1104.2200
Permanent URL: https://doi.org/10.5167/uzh-54438

 Preview
Content: Accepted Version
Filetype: PDF (Version 2)
Size: 181kB
View at publisher
 Preview
Content: Accepted Version
Filetype: PDF (Version 1)
Size: 174kB

## TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.