Massless Cosmic Strings in Spacetimes with Global Parabolic Isometries
arXiv:2001.03770 · doi:10.1134/S1063779620040279
Abstract
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.
A talk given at International Bolgolyubov Conference 'Problems of Theoretical and Mathematical Physics', dedicated to the 110th anniversary of N.N.Bogolyubov's birth, Dubna-Moscow, 9-13.09.2019, 7 pages