A note on non-vanishing divergence of the stress-energy tensor in theories of gravity
Year: 2020
Type: preprint
Abstract: In this paper we investigate three theories characterised by non-vanishing divergence of the stress-energy tensor, namely $f(R,\mathcal L_M)$, $f(R,T)$, and Rastall theory. We show that it is not possible to obtain the third from the first two, unless in some very specific case. Nonetheless, we show that in the framework of cosmology in the $f(R,T)$ theory, a result similar to that found in the Rastall one is reproduced, namely that the dynamics of the $\Lambda$CDM model of standard cosmology can be exactly mimicked, even though the dark energy component is able to cluster.
Source: arXiv (Cornell University)
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3107740705