Wormholes with quardratic equation of state

Abstract

To describe the spacetime of any massive objects (i.e. whether astrophysical objects like stars, galaxies etc or hypothetical objects like black holes, wormholes etc), it requires an interpretation of the matter content of the object. As a conventional process one can use fluid (as matter source) to study cosmological as well as astrophysical phenomena. But for matter fluid further specification of an EOS is desired. Before the acceleration of the Universe was discovered, pupils usually considered linear EOS as = p mρ (with 0 1 m ≤ ≤ ). But for the last few years theoretical physicists have used different EOS (particularly, Phantom energy, the generalized Chaplygin gas, Vander Walls quintessence EOS, etc) and elucidated the causes of the expansion of the Universe in an accelerated manner. Also, it has been shown that wormholes be supported by the fluid with these different equation of states.1 The homogeneous as well as inhomogeneous cosmological models of the universe have been suitably defined recently by Ananda et al.2, by a quadratic EOS. This quadratic EOS, 2 0 = p p αρ βρ + + , where 0 p , α and β are parameters, represents the Taylor series expansion of the barotropic EOS, ( ) p ρ and ρ being arbitrary. It is known that the mystery behind the expansion of the universe is dark energy or unified dark matter which can be defined by a quadratic EOS as demonstrated by Ananda et al.2