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Electromagnetic Vacuum Densities Induced by a Cosmic String

Department of Physics, Yerevan State University, 1 Alex Manoogian Street, Yerevan 0025, Armenia
Faculty of Natural Science and Mathematics, Shirak State University, 4 Paruyr Sevak Street, Gyumri 3126, Armenia
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Particles 2018, 1(1), 175-193;
Received: 9 June 2018 / Revised: 5 July 2018 / Accepted: 16 July 2018 / Published: 17 July 2018
PDF [454 KB, uploaded 20 July 2018]


We investigate the influence of a generalized cosmic string in (D+1)-dimensional spacetime on the local characteristics of the electromagnetic vacuum. Two special cases are considered with flat and locally de Sitter background geometries. The topological contributions in the vacuum expectation values (VEVs) of the squared electric and magnetic fields are explicitly separated. Depending on the number of spatial dimensions and on the planar angle deficit induced by the cosmic string, these contributions can be either negative or positive. In the case of the flat bulk, the VEV of the energy–momentum tensor is evaluated as well. For the locally de Sitter bulk, the influence of the background gravitational field essentially changes the behavior of the vacuum densities at distances from the string larger than the curvature radius of the spacetime. View Full-Text
Keywords: cosmic string; vacuum polarization; de Sitter space; electromagnetic field cosmic string; vacuum polarization; de Sitter space; electromagnetic field

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Saharian, A.A.; Manukyan, V.F.; Saharyan, N.A. Electromagnetic Vacuum Densities Induced by a Cosmic String. Particles 2018, 1, 175-193.

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