Models of non-static and inhomogeneous gravitating source in Rastall gravity
Abstract
In this paper, we have explored the non-static anisotropic gravitational collapse and expansion solutions in Rastall theory of gravity. The field equations have been formulated for the non-static and inhomogeneous gravitating source. The Misner–Sharp mass function, auxiliary solution and trapped condition have been used to obtained a trapped surface. The auxiliary solutions have been used to obtain the expansion and collapse solutions; these solutions depend on C(r,t) and parameter β (which appears due to parametric form of metric components); also the range of parameter β has been examined. The expansion scalar Θ depends on parameter β, in the case of expansion Θ>0 for β>−2, while for collapse Θ<0 with β<−2. Also, the dynamics of the gravitating spherical source has been discussed graphically with the effects of Rastall parameter λ. For the physically reasonable fluid, the validity of energy conditions has been discussed for expansion and collapse solutions with the various values of λ.
