Abstract
We study the fermionic condensate (FC) and the vacuum expectation value (VEV) of the energy-momentum tensor for a massive spinor field in the de Sitter (dS) spacetime including an ideal cosmic string. In addition, spatial dimension along the string is compactified to a circle of length $L$. The fermionic field is assumed to obey quasi-periodic condition along the $z$-axis. There are also magnetic fluxes running along the cosmic string and enclosed by the compact dimension. Both, the FC and the VEV of the energy-momentum tensor, are decomposed into two parts: one induced by the cosmic string in dS spacetime considering the absence of the compactification, and another one induced by the compactification. In particular, we show that the FC vanishes for a massless fermionic field.
Highlights
It is well known that in the early Universe different types of topological defects may have been formed due to the series of phase transitions [1] which among them, cosmic strings have been extensively studied in the literature
The fermionic condensate (FC) and the VEVof the energy-momentum tensor, are decomposed into two parts: one induced by the cosmic string in de Sitter (dS) spacetime considering the absence of the compactification, and another one induced by the compactification
We have studied the influence of the combined effects of the spacetime background and the topology on the FC and the vacuum expectation value (VEV) of the energy-momentum tensor associated with a massive spinor field
Summary
It is well known that in the early Universe different types of topological defects may have been formed due to the series of phase transitions [1] which among them, cosmic strings have been extensively studied in the literature. The VEV of the induced fermionic current and the energy-momentum tensor considering a compactified cosmic string spacetime in the presence of a magnetic flux running through the string was studied in [37,38]. With the intention of developing a further analysis, here we plan to investigate the fermionic vacuum polarization and the VEV of the energy-momentum tensor in dS spacetime, considering the presence of a compactified cosmic string. In this way, this present analysis is as general as possible.
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