Some new class of Chaplygin Wormholes

Some new class of Chaplygin wormholes are investigated in the framework of a Chaplygin gas with equation of state p = − ρ , A > 0. Since empty spacetime ( p = ρ = 0 ) does not follow Chaplygin gas, so the interior Chaplygin wormhole solutions will never asymptotically flat. For this reason, we have to match our interior wormhole solution with an exterior vacuum solution i.e. Schwarzschild solution at some junction interface, say r = a. We also discuss the total amount of matter characterized by Chaplygin gas that supplies fuel to construct a wormhole. Introduction: Observations of Type IA supernovae and Cosmic microwave background anisotropy suggest that the Universe is currently undergoing an accelerated expansion [13]. After the publication of these observational reports, theoretical physicists have been starting to explain this astonishing phenomena theoretically. It is readily understand that this current cosmological state of the Universe requires exotic matter that produces large negative pressure. It is known as dark energy and it fails to obey Null Energy Condition (NEC). To describe theoretically this ghost like matter source, Cosmologists have been proposed several propositions as Cosmological constant [4]( the simplest and most popular candidate ), Quintessence [5]( a slowly evolving dynamical quantity which has a spatially inhomogeneous component of energy with negative pressure ), Dissipative matter fluid [6], Chaplygin gas[7] ( with generalized as well as modified forms ), Phantom energy [8-10]( here, the equation of state of the form as p = −wρ with w > 1 ), Tracker field [11-12]( a new form of quintessence ) etc. Recently, scientific community shows great interest in wormhole physics because this opens a possibility to trip a very large distance in a very short time. In a pioneering work, Morris and Thorne [13] have shown that wormhole geometry could be found from Einstein general theory of relativity. But one has to tolerate the violation of NEC. 0 ∗Dept.of Mathematics, Jadavpur University, Kolkata-700 032, India E-Mail:farook [email protected] †Dept. of Phys. , Netaji Nagar College for Women, Regent Estate, Kolkata-700092, India. E-Mail:[email protected]