The wormholes in the modification of general relativity theory

Abstract

A traversable wormhole, which is a class of wormholes in general relativity (GR), was proposed by Morris and Thorne in 1988. However, its existence requires the exotic matter violating the energy conditions. This thesis examines the wormhole solutions in the theory of massive gravity, focusing only on the de Rham, Gabadadze and Tolley (dRGT) theory of massive gravity which is the nonlinear massive gravity without ghost and quantify the wormhole solutions. We construct the wormhole solutions in context of the modified GR, investigate their stability, and examine the conditions of the exotic matter. Two methods for wormhole constructions are applied i.e., the Lorentzian traversable and thin-shell wormholes. We found that the wormholes in dRGT massive gravity require the exotic matter only near their throats not spreading all the Universe like in GR.