Estudio de las propiedades de agujeros de gusano generados por el efecto Casimir asintóticamente anti de Sitter a través del formalismo thin shell

Abstract

Wormholes are solutions to the Einstein's equations generated by matter that violates the energy conditions. The Casimir effect is the only experimentally measured phenomenon where negative pressure energy can be found, a certain type of exotic energy, which is why it is a possible candidate for the construction of wormholes. However, only in recent years has a first approach been made to the study of Casimir wormholes in asymptotically flat spaces. In this work we tried to construct asymptotically AdS wormholes that satisfy Einstein's semiclassical equation with the impulse energy tensor of the Casimir effect, finding non-analytical solutions for the redshift function. Also, the consequences of imposing the weak quantum energy condition were analyzed (QWEC) in an asymptotically AdS / dS wormhole, obtaining a family of solutions in the spacetime AdS that when canceling the cosmological constant do not converge perfectly to a Casimir wormhole. Finally, in the case of null tidal force, a traversable Planckian wormhole generated by energy like the Casimir effect was found with the thin shell formalism.