Deformaciones de agujeros de gusano atravesables asintóticamente de Sitter y anti-de Sitter.

Abstract

A particularly notable approach is the study of the metric of the Morris-Thorne wormhole. It was introduced in 1986, and since then it has been studied by proposing different shape functions, including their deformations. In this research we develop the study of the deformations of the asymptotically de (anti) de Sitter wormholes through the modification of the ansatz for the metric. Then, with the help of the Einstein equations we can determine if the kind of matter that support wormhole violates the energy conditions. From the proposed anzats, the embedding function is defined in a cylindrical space, determining the ranges where this function exists. A complete study of the traversability conditions of the deformed wormhole is presented, which consists in determining the time it takes a humanoid traveler to cross the wormhole, it must be a finite and reasonably small proper time. We find the radial velocity and the tidal forces felt by the passenger travelling radially through the wormhole, these accelerations must, not exceed the gravitational acceleration of the Earth. Finally, we study the geodesics of the wormhole.