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Gravitational wave polarization modes inf(R)theories


Kausar, H Rizwana; Philippoz, Lionel; Jetzer, Philippe (2016). Gravitational wave polarization modes inf(R)theories. Physical review. D, 93(12):124071.

Abstract

Many studies have been carried out in the literature to evaluate the number of polarization modes of gravitational waves in modified theories, in particular in f(R) theories. In the latter ones, besides the usual two transverse-traceless tensor modes present in general relativity, there are two additional scalar ones: a massive longitudinal mode and a massless transverse mode (the so-called breathing mode). This last mode has often been overlooked in the literature, due to the assumption that the application of the Lorenz gauge implies transverse-traceless wave solutions. We however show that this is in general not possible and, in particular, that the traceless condition cannot be imposed due to the fact that we no longer have a Minkowski background metric. Our findings are in agreement with the results found using the Newman-Penrose formalism and thus clarify the inconsistencies found so far in the literature.

Abstract

Many studies have been carried out in the literature to evaluate the number of polarization modes of gravitational waves in modified theories, in particular in f(R) theories. In the latter ones, besides the usual two transverse-traceless tensor modes present in general relativity, there are two additional scalar ones: a massive longitudinal mode and a massless transverse mode (the so-called breathing mode). This last mode has often been overlooked in the literature, due to the assumption that the application of the Lorenz gauge implies transverse-traceless wave solutions. We however show that this is in general not possible and, in particular, that the traceless condition cannot be imposed due to the fact that we no longer have a Minkowski background metric. Our findings are in agreement with the results found using the Newman-Penrose formalism and thus clarify the inconsistencies found so far in the literature.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:2016
Deposited On:29 Dec 2016 10:08
Last Modified:08 Mar 2017 10:39
Publisher:American Physical Society
ISSN:2470-0010
Publisher DOI:https://doi.org/10.1103/PhysRevD.93.124071

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