1999/09/29 by Iver Brevik, I. Brevik, A. G. Frøseth
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1103/physrevd.61.085011
published as Phys.Rev.D61:085011,2000 · 20 pages, LaTeX, no figures
arxiv created 1999/09/29 · openalex publication_date 2000/03/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The classical electromagnetic modes outside a long, straight, superconducting cosmic string are calculated, assuming the string to be surrounded by a superconducting cylindric surface of radius R. Thereafter, by use of a Bogoliubov-type argument, the electromagnetic energy W produced per unit length in the lowest two modes is calculated when the string is formed ``suddenly.'' The essential new element in the present analysis, as compared with prior work of Parker [Phys. Rev. Lett. 59, 1369 (1987)] and Brevik and Toverud [Phys. Rev. D 51, 691 (1995)], is that the radius a of the string is assumed finite, thus necessitating Neumann functions to be included in the fundamental modes. We find that the theory is changed significantly: W is now strongly concentrated in the lowest mode (m,s)=(0,1), whereas the proportionality W\ensuremath∝(G\ensuremathμ/t)2 that is characteristic for zero-width strings is found in the next mode (1,1). Here G is the gravitational constant, \ensuremathμ the string mass per unit length, and t the GUT time.