We consider the relativistic Euler equations governing spherically symmetric, perfect fluid flows on the outer domain of communication of Schwarzschild spacetime, and we introduce a version of the finite volume method which is formulated from the geometric formulation (and thus takes the geometry into account at the discretization level) and is well–balanced, in the sense that it preserves stea...

Abstract In this work we have obtained a charged black hole solution in the presence of perfect fluid dark matter (PFDM) and discuss its energy conditions. The metric corresponding to rotating avatar is by incorporating Newman–Janis algorithm. We then compute two types circular geodesics, namely, null geodesics time-like for spacetime geometry. For case consider both neutral as well massive par...

We study a Friedmann-Lema\^{\i}tre-Robertson-Walker spacetime in the theory of $f(Q)$ gravity, where $Q$ denotes nonmetricity scalar. It has been previously shown literature, that there exist four distinct families connections, which are compatible with isometries FLRW metric; three for spatially-flat case and one when spatial curvature is present. In case, connection dynamically irrelevant yie...

We demonstrate the existence of solutions with shocks for the equations describing a perfect fluid in special relativity, namely, d i v T = 0, where T ~ = (p + pcZ)ulU j + prl ij is the stress energy tensor for the fluid. Here, p denotes the pressure, u the 4-velocity, p the mass-energy density of the fluid, t/~ the flat Minkowski metric, and c the speed of light. We assume that the equation of...

The Cosmic Censorship Conjecture has continued to occupy center stage within the realms of relativistic astrophysics. The final outcome of the gravitational collapse of a star is still very much open to debate with the discovery of models admitting naked singularities.1,2 Various scenarios of gravitational collapse have been considered in which the energy momentum tensor is taken to be either a...

The main aim of this work is to give a suitable explanation present accelerating universe through an acceptable interactive dynamical cosmological model. A three-fluid model introduced in the background Friedmann–Lemaître–Robertson-Walker asymptotically flat spacetime. This consists dark matter and energy with baryonic matter, taken as perfect fluid, satisfying barotropic equation state. We con...

Abstract We present the derivation of hydrodynamical equations for a perfect fluid in General Relativity, within 3 + 1 decomposition spacetime framework, using only primitive variables. Primitive variables are opposed to conserved variables, ...

We study the possibility of identifying dark matter in galactic center from physical properties electromagnetic radiation emitted a optical-thin disk region around static and spherically symmetric black hole. In particular, we consider two specific models for region: gas at rest radial free fall. Due to effect on spacetime geometry, find that can increase or decrease intensity flux depending mo...