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Main Authors: Horowitz, Gary T., Lu, Guanyu
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.22120
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author Horowitz, Gary T.
Lu, Guanyu
author_facet Horowitz, Gary T.
Lu, Guanyu
contents We show that the ADM energy of a Kaluza-Klein bubble of nothing is unbounded from below even if the size of the circle at infinity and the size of the minimal sphere at the bubble are fixed. We demonstrate this by presenting a family of explicit time-symmetric initial data satisfying these boundary conditions with arbitrarily negative energy. In particular, this is true for very small bubbles, which indicates that the standard Kaluza-Klein vacuum is more unstable than previously thought.
format Preprint
id arxiv_https___arxiv_org_abs_2507_22120
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles
Horowitz, Gary T.
Lu, Guanyu
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We show that the ADM energy of a Kaluza-Klein bubble of nothing is unbounded from below even if the size of the circle at infinity and the size of the minimal sphere at the bubble are fixed. We demonstrate this by presenting a family of explicit time-symmetric initial data satisfying these boundary conditions with arbitrarily negative energy. In particular, this is true for very small bubbles, which indicates that the standard Kaluza-Klein vacuum is more unstable than previously thought.
title Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2507.22120