...wn AdS-Schwarzschild solution [13]. Therefore the above solution can be interpreted as AdS-stars, as their form generalizes the known four-dimensional model for the interior of stellar configurations =-=[14]-=-. Furthermore for a complete solution an equation of state p = p(ρ) must be provided. For example assuming a generic polytropic equation of state p = wργ the large-r behaviour can be obtained analytic...

... the “scale factor” R(τ, η). On the other hand we may choose a coordinate system adapted to the “fluid” velocity parallel to the KVF XA = δAt in which the brane is moving across the spatial direction =-=[12, 13]-=-. Then Proposition 1 shows that the two approaches are (geometrically) equivalent only for the case of a (negative) cosmological constant. Although the assumption of Λ−term necessary implies the exist...