Considerations on gravitational waves in higher-order local and non-local gravity
The detection of gravitational wave modes and polarizations could constitute an extremely important signature to discriminate among different theories of gravity. According to this statement, it is possible to prove that higher-order non-local gravity has formally the same gravitational spectrum of...
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| Format: | Article |
| Language: | English |
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Elsevier
2020-11-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269320306249 |
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| author | S. Capozziello M. Capriolo S. Nojiri |
| author_facet | S. Capozziello M. Capriolo S. Nojiri |
| author_sort | S. Capozziello |
| collection | DOAJ |
| description | The detection of gravitational wave modes and polarizations could constitute an extremely important signature to discriminate among different theories of gravity. According to this statement, it is possible to prove that higher-order non-local gravity has formally the same gravitational spectrum of higher-order local gravity. In particular, we consider the cases of f(R,□R,□2R,⋯,□nR)=R+∑i=1nαiR□iR gravity, linear with respect to both R and □iR and f(R,□R)=R+α(□R)2 gravity, quadratic with respect to □R, where it is demonstrated the graviton amplitude changes if compared with General Relativity. We also obtain the gravitational spectrum of higher-order non-local gravity f(R,□−1R,□−2R,⋯,□−nR)=R+∑i=1nαiR□−iR. In this case, we have three state of polarization and n+3 oscillation modes. More in detail, it is possible to derive two transverse tensor (+) and (×) standard polarization modes of frequency ω1, massless and with 2-helicity; n+1 further scalar modes of frequency ω2,…,ωn+2, massive and with 0-helicity, each of which has the same mixed polarization, partly longitudinal and partly transverse. |
| first_indexed | 2024-12-11T12:03:42Z |
| format | Article |
| id | doaj.art-f5aff93429644b10af248a210425f9c2 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-11T12:03:42Z |
| publishDate | 2020-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-f5aff93429644b10af248a210425f9c22022-12-22T01:08:00ZengElsevierPhysics Letters B0370-26932020-11-01810135821Considerations on gravitational waves in higher-order local and non-local gravityS. Capozziello0M. Capriolo1S. Nojiri2Dipartimento di Fisica “E. Pancini”, Università di Napoli “Federico II”, Italy; INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126, Napoli, Italy; Tomsk State Pedagogical University, 634061 Tomsk, Russia; Corresponding author.Dipartimento di Matematica, Università di Salerno, Via Giovanni Paolo II, 132, Fisciano, SA I-84084, ItalyDepartment of Physics, Nagoya University, Nagoya 464-8602, Japan; Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, JapanThe detection of gravitational wave modes and polarizations could constitute an extremely important signature to discriminate among different theories of gravity. According to this statement, it is possible to prove that higher-order non-local gravity has formally the same gravitational spectrum of higher-order local gravity. In particular, we consider the cases of f(R,□R,□2R,⋯,□nR)=R+∑i=1nαiR□iR gravity, linear with respect to both R and □iR and f(R,□R)=R+α(□R)2 gravity, quadratic with respect to □R, where it is demonstrated the graviton amplitude changes if compared with General Relativity. We also obtain the gravitational spectrum of higher-order non-local gravity f(R,□−1R,□−2R,⋯,□−nR)=R+∑i=1nαiR□−iR. In this case, we have three state of polarization and n+3 oscillation modes. More in detail, it is possible to derive two transverse tensor (+) and (×) standard polarization modes of frequency ω1, massless and with 2-helicity; n+1 further scalar modes of frequency ω2,…,ωn+2, massive and with 0-helicity, each of which has the same mixed polarization, partly longitudinal and partly transverse.http://www.sciencedirect.com/science/article/pii/S0370269320306249Gravitational wavesAlternative theories of gravityCosmology |
| spellingShingle | S. Capozziello M. Capriolo S. Nojiri Considerations on gravitational waves in higher-order local and non-local gravity Physics Letters B Gravitational waves Alternative theories of gravity Cosmology |
| title | Considerations on gravitational waves in higher-order local and non-local gravity |
| title_full | Considerations on gravitational waves in higher-order local and non-local gravity |
| title_fullStr | Considerations on gravitational waves in higher-order local and non-local gravity |
| title_full_unstemmed | Considerations on gravitational waves in higher-order local and non-local gravity |
| title_short | Considerations on gravitational waves in higher-order local and non-local gravity |
| title_sort | considerations on gravitational waves in higher order local and non local gravity |
| topic | Gravitational waves Alternative theories of gravity Cosmology |
| url | http://www.sciencedirect.com/science/article/pii/S0370269320306249 |
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