Strange stars in energy-momentum-conserved f(R,T) gravity
Abstract
For the accurate understanding of compact objects such as neutron stars and strange stars, the Tolmann-Openheimer-Volkof (TOV) equation has proved to be of great use. Hence, in this work, we obtain the TOV equation for the energy-momentum-conserved f(R,T) theory of gravity to study strange quark stars. The f(R,T) theory is important, especially in cosmology, because it solves certain incompleteness of the standard model. In general, there is no intrinsic conservation of the energy-momentum tensor in the f(R,T) gravity. Since this conservation is important in the astrophysical context, we impose the condition ∇ Tμ=0, so that we obtain a function f(R,T) that implies conservation. This choice of a function f(R,T) that conserves the momentum-energy tensor gives rise to a strong link between gravity and the microphysics of the compact object. We obtain the TOV by taking into account a linear equation of state to describe the matter inside strange stars, such as p=ω and the MIT bag model p=ω(-4B). With these assumptions it was possible to derive macroscopic properties of these objects.