Global String Instantons

Fuente: arXiv
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Main Authors: Blanco-Pillado, Jose J., Fanaras, Georgios, Vilenkin, Alexander
Format: Preprint
Published: 2024
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author Blanco-Pillado, Jose J.
Fanaras, Georgios
Vilenkin, Alexander
author_facet Blanco-Pillado, Jose J.
Fanaras, Georgios
Vilenkin, Alexander
contents We study the formation of gravitating global strings through quantum mechanical tunneling. The instantons that describe the nucleation process are characterized by two parameters: the string core thickness and its gravitational backreaction controlled by the string core energy density. We obtain solutions across a wide range of these parameters by carrying out numerical integration via multiple shooting methods. Our results are in agreement with previous findings on the nucleation of other topological defects; specifically, after reaching a certain threshold for the string core thickness or its gravitational backreaction, the configuration becomes homogeneous in a manner akin to Hawking-Moss solutions. Additionally, we analyze the global structure of the analytical continuation of the solutions to Lorentzian signature, revealing the emergence of a region of spacetime that describes an anisotropic universe. Finally, we also discuss the relevance of these instantons in the context of quantum cosmology.
format Preprint
id arxiv_https___arxiv_org_abs_2410_24149
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Global String Instantons
Blanco-Pillado, Jose J.
Fanaras, Georgios
Vilenkin, Alexander
General Relativity and Quantum Cosmology
We study the formation of gravitating global strings through quantum mechanical tunneling. The instantons that describe the nucleation process are characterized by two parameters: the string core thickness and its gravitational backreaction controlled by the string core energy density. We obtain solutions across a wide range of these parameters by carrying out numerical integration via multiple shooting methods. Our results are in agreement with previous findings on the nucleation of other topological defects; specifically, after reaching a certain threshold for the string core thickness or its gravitational backreaction, the configuration becomes homogeneous in a manner akin to Hawking-Moss solutions. Additionally, we analyze the global structure of the analytical continuation of the solutions to Lorentzian signature, revealing the emergence of a region of spacetime that describes an anisotropic universe. Finally, we also discuss the relevance of these instantons in the context of quantum cosmology.
title Global String Instantons
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2410.24149