Discrete Spectrum of the Deficit Angle and the Differential Structure of a Cosmic String

Details Discrete Spectrum of the Deficit Angle and the Differential Structure of a Cosmic String Discrete Spectrum of the Deficit Angle and the Differential Structure of a Cosmic String

1996-09-30

arxiv.org/abs/gr-qc/9609070v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, LaTeX,amsfonts, published version, to appear in International J. of Th. Phys

Scientific paper

Differential properties of Klein-Gordon and electromagnetic fields on the space-time of a straight cosmic string are studied with the help of methods of the differential space theory. It is shown that these fields are smooth in the interior of the cosmic string space-time and that they loose this property at the singular boundary except for the cosmic string space-times with the following deficit angles : Delta=2\pi*(1-1/n), n=1,2,... A connection between smoothness of fields at the conical singularity and the scalar and electromagnetic conical bremsstrahlung is discussed. It is also argued that the smoothness assumption of fields at the singularity is equivalent to the Aliev and Gal'tsov "quantization" condition leading to the above mentioned discrete spectrum of the deficit angle.

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