https://doi.org/10.1140/epjc/s10052-014-2935-y
Regular Article - Theoretical Physics
Quantum influence of topological defects in Gödel-type space-times
1
Unidade Acadêmica de Tecnologia de Alimentos, Centro de Ciências e Tecnologia Agroalimentar, Universidade Federal de Campina Grande, Pereiros, Pombal, PB, 58840-000, Brazil
2
Instituto de Física, Universidade Federal de Alagoas, Campus A. C. Simões-Av. Lourival Melo Mota s/n, Tabuleiro do Martins, Maceió, AL, 57072-970, Brazil
3
Departamento de Física, CCEN, Universidade Federal da Paraíba, Cidade Universitária, João Pessoa, PB, 58051-970, Brazil
* e-mail: furtado@fisica.ufpb.br
Received:
20
January
2014
Accepted:
31
May
2014
Published online:
19
June
2014
In this contribution, some solutions of the Klein–Gordon equation in Gödel-type metrics with an embedded cosmic string are considered. The quantum dynamics of a scalar particle in three spaces whose metrics are described by different classes of Gödel solutions, with a cosmic string passing through the spaces, is found. The energy levels and eigenfunctions of the Klein–Gordon operator are obtained. We show that these eigenvalues and eigenfunctions depend on the parameter characterizing the presence of a cosmic string in the space-time. We note that the presence of topological defects breaks the degeneracy of energy levels.
© SIF and Springer-Verlag Berlin Heidelberg, 2014
