Massless Cosmic Strings in Spacetimes with Global Parabolic Isometries

A class of curved spacetimes with global parabolic isometries (GPI) is introduced. These isometries have fixed point sets on two-dimensional null surfaces which can be interpreted as worldsheets of massless cosmic strings. Back reaction effects of the strings in such spacetimes can be described exac...

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Published in:Physics of particles and nuclei 2020-07, Vol.51 (4), p.735-738
Main Author: Fursaev, D. V.
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Language:English
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Particle and Nuclear Physics
Physics
Physics and Astronomy
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description A class of curved spacetimes with global parabolic isometries (GPI) is introduced. These isometries have fixed point sets on two-dimensional null surfaces which can be interpreted as worldsheets of massless cosmic strings. Back reaction effects of the strings in such spacetimes can be described exactly, in terms of a nontrivial holonomy at the worldsheet. We show that the GPI spacetimes are type geometries of the Petrov classification. We describe a number of features of these spacetimes, including properties of Killing horizons associated to GPI. As an example, we consider a circular massless cosmic string in the de Sitter universe and present the metric in new coordinates centered at the string worldsheet.
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title Massless Cosmic Strings in Spacetimes with Global Parabolic Isometries
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