Conical thin shell wormhole from global monopole: A theoretical construction

By applying ’Darmois-Israel formalism’, we establish a new class of thin shell wormhole in the context of global monopole resulting from the breaking of a global O(3) symmetry. Since global monopole is asymptotically conical ( no longer asymptotically flat ), we call it as conical thin shell wormhole. Different characteristics of this conical thin shell wormhole, namely, time evolution of the throat, stability, total amount of exotic matter have been discussed. Introduction: It is believed that during the evolution, the universe had undergone a number of phase transitions. Phase transitions in the early universe can give rise to various forms of topological defects. They can be monopoles, cosmic strings or domain walls[1-3]. Among them monopoles and cosmic strings are well studied for their cosmological as well as astrophysical implications. A global monopole is a heavy object that forms in the phase transition of a system composed of a self coupling scalar field, Φ whose original O(3) symmetry is spontaneously broken to U(1)[4]. There has been a fairly large amount of discussions [5-18] on the gravitational field of global monopoles beginning with the work of Barriola and Vilenkin ( BV )[4]. According to BV, global monopoles have Goldstone fields with energy density decreasing with the distance as r−2. BV have also shown that the space time produced by global monopole has no Newtonian gravitational potential in spite of the fact that the geometry produced by this heavy object has a non-vanishing curvature. 0 Pacs Nos : 04.20 Gz,04.50 + h, 04.20 Jb