Quantum influence of topological defects in Gödel-type space-times

The European Physical Journal C

Claudio Furtado¹  Alexandre M. de M. Carvalho²  Josevi Carvalho³ 

[1] Departamento de Física, CCEN, Universidade Federal da Paraíba, Cidade Universitária, 58051-970, João Pessoa, PB, Brazil;Instituto de Física, Universidade Federal de Alagoas, Campus A. C. Simões-Av. Lourival Melo Mota s/n, Tabuleiro do Martins, 57072-970, Maceió, AL, Brazil;Unidade Acadêmica de Tecnologia de Alimentos, Centro de Ciências e Tecnologia Agroalimentar, Universidade Federal de Campina Grande, Pereiros, 58840-000, Pombal, PB, Brazil;

关键词: Landau Level;    Cosmic String;    Scalar Particle;    Topological Defect;    Gordon Equation;   

DOI  :  10.1140/epjc/s10052-014-2935-y

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY