Stability of Thin-Shell wormholes

Abstract

ABSTRACT: The concept of thin-shell wormholes has been considered in Einstein’s theory of gravity coupled with different matter sources likeMaxwell, Yang-Mills, Born-Infeld- Hoffman fields, generalized Chaplygin gas and dilaton. Our consideration is in higher dimensions where the bulk spacetime is introduced there. We mainly concentrate on the stability of possible thin shell wormholes and the amount of normal or exotic matter needed to support such kind of wormholes. In addition to the Einstein Gravity (i.e General Relativity) we also consider the Gausse-Bonnet gravity which is an extension of Einstein’s gravity. This extended version of general relativity enabled us to construct thin-shell wormholes which are supported by normal matter. Most of our calculations are numeric together with some plots. The results given in this thesis are published during the recent years.