Constructions of $f(R,G,T)$ Gravity from Some Expansions of
the Universe
(2020)cite arxiv:2005.02173Comment: 19 pages, 18 figures.Zusammenfassung
Here we propose the extended modified gravity theory named as
$f(R,G,T)$ gravity where $R$ is the Ricci scalar, $G$ is the
Gauss-Bonnet invariant and $T$ is the trace of the stress-energy
tensor. We derive the gravitational field equations in $f(R,G,T)$
gravity by taking least action principle. Next we construct the
$f(R,G,T)$ in terms of $R$, $G$ and $T$ in de Sitter as
well as power law expansion. We also construct $f(R,G,T)$ if the
expansion follows the finite time future singulary (big rip singularity). We
investigate the energy conditions in this modified theory of gravity and
examine the validities of all energy conditions. Finally, we analyze the
stability of the constructed modified gravity.
Beschreibung
Constructions of $f(R,G,\mathcal{T})$ Gravity from Some Expansions of the Universe