Fluctuations in the current and energy densities around a magnetic flux carrying cosmic string

Details Fluctuations in the current and energy densities around a magnetic flux carrying cosmic string Fluctuations in the current and energy densities around a magnetic flux carrying cosmic string

2000-11-22

arxiv.org/abs/gr-qc/0011074v1

Class.Quant.Grav. 18 (2001) 1015-1025

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX, 13 Pages, 3 Figures

Scientific paper

10.1088/0264-9381/18/6/304

We calculate the fluctuations in the current and energy densities for the case of a quantized, minimally coupled, massless, complex scalar field around a straight and infinitesimally thin cosmic string carrying magnetic flux. At zero temperature, we evaluate the fluctuations in the current and energy densities for arbitrary flux and deficit angle. At a finite temperature, we evaluate the fluctuations in the energy density for the special case wherein the flux is absent and the deficit angle equals $\pi$. We find that, quite generically, the dimensionless ratio of the variance to the mean-squared values of the current and energy densities are of order unity which suggests that the fluctuations around cosmic strings can be considered to be large.

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