Construcción de Agujeros de gusano cargados asintóticamente Friedman-Lamaitre-Robertson-Walker (FLRW) y estudio de los horizontes aparentes.

Abstract

In this undergraduate thesis we will follow the McVittie formalism to construct a model of a charged wormhole embedded in the FLRW universe. In this way we generalize the model found earlier for the uncharged MT wormhole. The matter around the wormhole is considered to have a spherically symmetric distribution and the total matter consists of two parts: the matter that constitutes only the wormhole and the matter that is distributed throughout the universe. Restricting the problem to that of an ultra-static observer, we find the isotropic form of the charged MT wormhole, and calculate its field equations. Using the above considerations, we split the energy-momentum tensor into the cosmological part and the wormhole part. Furthermore, we seek that in the vicinity of the wormhole the obtained metric reduces to the charged MT metric and at spatial infinity to the FLRW metric. As a result, we found a differential equation for the spatial components of the charged metric. From this equation we obtained a numerical solution that has allowed us to define an approximate solution, which in the zero-charge limit reduces to the MT metric and has the desired asymptotic properties. Finally, the position of the apparent horizons was determined and the associated Hawking temperature was calculated.