Some Solutions of Perfect Fluid Static Spherically Symmetric Classes in f(R,T) Theory and Their Related Concircular Vector Fields
Year: 2026
Type: article
Abstract: In this work we obtained solutions of field equations for perfect fluid spherically symmetric static spacetimes and found their concircular vector fields (CCVFs) in $f(R,T)$ gravity theory. It came out that special classes of these spacetimes possess either $4$-dimensional or $15$-dimensional CCVFs. In [28] the author obtained CCVFs for the same spacetimes in general relativity and it is argued that such spacetimes possess CCVFs of $4-$, $5-$, $6-$ and $15$ dimensions. Our results revealed that the $f(R,T)$ theory restricted the number of CCVFs for the same spacetime. $f(R,T)$ theory allows such spacetimes to admit either the $4$ basic Killing vector fields as CCVFs or compel the spacetime to be conformally flat and admit $15$ CCVFs. We also calculated the energy density, fluid pressure, trace of the energy-momentum tensor $T$, Ricci scalar $R$ and the function $f(R,T)$. It is observed that energy density and fluid pressure of some solutions are related as $p=-\rho$ which means that such particular metrics behave like dark energy models.
Institutions: University of Peshawar, Al-Azhar University, Arak University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7155213003