Abstract We investigate the possibility of existing a class compact charged spheres made perfect fluid in framework Einstein–Gauss–Bonnet theory five-dimensional spacetime (5 D EGB). In order to study spherically symmetric stars EGB gravity, we prefer apply systematic and direct approach decoupling gravitational sources via minimal geometric deformation (MGD), which allows us prove that must be...

We examine Friedmann–Robertson–Walker models in three spacetime dimensions. The matter content of the models is composed of a perfect fluid, with a γ-law equation of state, and a homogeneous scalar field minimally coupled to gravity with a self-interacting potential whose energy density red-shifts as a−2ν , where a denotes the scale factor. Cosmological solutions are presented for different ran...

A dynamical model for varying light velocity in cosmology is developed, based on the idea that there are two metrics in spacetime. One metric gμν describes the standard gravitational vacuum, and the other ĝμν = gμν + βψμψν describes the geometry through which matter fields propagate. Matter propagating causally with respect to ĝμν can provide acausal contributions to the matter stress-energy te...

We present an effective four-dimensional formulation of the laws of gravity that respects the main features of a higher (five)-dimensional scenario of Randall-Sundrum type. The geometrical structure of the theory is that of a Weyl-integrable configuration. Standard general relativity over Riemann geometry is recovered through breaking of conformal symmetry. The singularity problem is treated. T...

It is well known that, in the context of General Relativity, some spacetimes, when described by a congruence of comoving observers, may consist of a distribution of a perfect (non–dissipative) fluid, whereas the same spacetime as seen by a “tilted” (Lorentz–boosted) congruence of observers may exhibit the presence of dissipative processes. As we shall see, the appearance of entropy-producing pr...

Abstract In this article, we investigate perfect fluid spacetimes equipped with concircular vector field. At first, in a spacetime admitting field, prove that the velocity field annihilates conformal curvature tensor. addition, dimension 4, show is generalized Robertson–Walker Einstein fibre. It proved if furnished admits second order symmetric parallel tensor P , then either equation of state ...

In this short review we compare the rigid Noether charges to topological gauge charges. One important extension is that one should consider each boundary component of spacetime independently. The argument that relates bulk charges to surface terms can be adapted to the perfect fluid situation where one can recognise the helicity and enstrophies as Noether charges. More generally a forcing proce...