Maximum Force and Naked Singularities in Higher Dimensions
General Relativity and Quantum Cosmology
2021-02-03 v1 High Energy Physics - Theory
Abstract
We discuss the existence of maximum forces in 3+1 dimensional spacetimes and show that the existence of a mass-independent maximum force does not occur in general relativity in spaces of more than three dimensions. Instead, the maximum force increases with the masses, M, of merging objects as M to the power (N-3)/(N-2) and allows unbounded gravitational forces to occur. This suggests that naked singularities can arise in more than three dimensions because they are unprotected by a maximum force at the horizon surface. This creates a new perspective on the expectation of naked singularities in higher dimensions.
Cite
@article{arxiv.2005.06809,
title = {Maximum Force and Naked Singularities in Higher Dimensions},
author = {John D. Barrow},
journal= {arXiv preprint arXiv:2005.06809},
year = {2021}
}
Comments
6 pages, no figures. Essay prepared for the Gravity Research Foundation