4-index theory of gravity

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dc.contributor.authorMoradpour, H.
dc.contributor.authorLicata, I.
dc.contributor.authorCorda, C.
dc.contributor.authorSalako, Ines G.
dc.date.accessioned2022-04-21T12:06:59Z
dc.date.available2022-04-21T12:06:59Z
dc.date.issued2019-01-16
dc.descriptionIn Riemannian geometry, the geometrical information of a manifold is encoded into the forth-order Riemann tensor, while the general relativity (GR) includes the second rank divergence-less tensors [2, 3].en_US
dc.description.abstractRecently, a 4-index generalization of the Einstein theory is proposed by Moulin [1]. Using this method, we find the most general 2-index field equations derivable from the Einstein-Hilbert action. The application of Newtonian limit, the role of gravitational coupling constant and the effects of the properties of ordinary energy-momentum tensor in obtaining a 4-index gravity theory have been studied. We also address the results of building Weyl free 4-index gravity theory. Our study displays that both the Einstein and Rastall theories can be obtained as the subclasses of a 4-index gravity theory which shows the power of 4-index method in unifying various gravitational theories. It is also obtained that the violation of the energy-momentum conservation law may be allowed in 4-index gravity theory, and moreover, the contraction of 4-index theory generally admits a non-minimal coupling between geometry and matter field in the Rastall way. This study also shows that, unlike the Einstein case, the gravitational coupling constant of 4-index Rastall theory generally differs from that of the ordinary 2-index Rastall theory.en_US
dc.description.sponsorshipResearch Institute for Astronomy & Astrophysics of Maragha (RIAAM)en_US
dc.identifier.citationMoradpour, H., Licata I., Corda, C., Salako, I.G. (2019). 4-index theory of gravity and its relation with the violation of the energy-momentum conservation law. Pg 1-8en_US
dc.identifier.urihttp://hdl.handle.net/123456789/1412
dc.language.isoenen_US
dc.publisherarXiven_US
dc.relation.ispartofseries;8
dc.subjectRiemannian geometryen_US
dc.subject4-indexen_US
dc.subject2-indexen_US
dc.subjectEinstein-Hilbert actionen_US
dc.subjectRastall theoriesen_US
dc.title4-index theory of gravityen_US
dc.typeArticleen_US
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