Soluções de buracos de minhoca percorríveis gerados pela energia de Casimir

Abstract

Wormholes (WH) require negative energy and thus an exotic matter source. Because Casimir energy is negative, it has long been speculated as a good candidate source for these objects. However, only very recently a complete solution for D = 4 was found by Garattini (2019), indicating that Casimir energy can be a source of traversable WHs. Shortly thereafter, Alencar, Bezerra and Muniz (2021) showed that this is not true in D = 3. In this thesis, we demonstrate that Casimir energy can be a source of Morris-Thorne type wormholes for all spacetimes with D > 3. Additionally, by introducing the cosmological constant, we find that for D = 3, Casimir WHs are possible but the spacetime must always be AdS. For D > 3, we show that the cosmological constant reverses sign with increasing throat size. Finally, we outline a more consistent way to generalize Casimir wormholes through Yukawa-type corrections, revealing criteria for constraints on their parameters and the possibility of a broader category of astrophysical objects, such as slightly repulsive wormholes.