(\kappa(R,T)\) gravity

In this note we explore a modified theory of gravitation that is not based on the least action principle, but on a natural generalization of the original Einstein's field equations. This approach leads to the non-covariant conservation of the stress-energy tensor, a feature shared with other La...

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Bibliographic Details
Published inarXiv.org
Main Author Pérez Teruel, Ginés R
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 18.08.2018
Subjects
Astronomical models
Energy conservation
Gravitation
Physical properties
Tensors
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Summary:In this note we explore a modified theory of gravitation that is not based on the least action principle, but on a natural generalization of the original Einstein's field equations. This approach leads to the non-covariant conservation of the stress-energy tensor, a feature shared with other Lagrangian theories of gravity such as the \(f(R,T)\) case. We consider the cosmological implications of a pair of particular models within this theory, and we show that they have some interesting properties. In particular, for some of the studied models we find that the density is bounded from above, and cannot exceed a maximum value that depends on certain physical constants. In the last part of the work we compare the theory to the \(f(R,T)\) case and show that they lead to different predictions for the motion of test particles.
ISSN:2331-8422
DOI:10.48550/arxiv.1801.00284