Quasi-local energy and compactification
High Energy Physics - Theory
2018-08-01 v1 General Relativity and Quantum Cosmology
Abstract
Based on the quasi-local energy definition of Brown and York, we compute the integral of the trace of the extrinsic curvature over a codimension-2 hypersurface. In particular, we study the difference between the uncompactified Minkowski spacetime and the toroidal Kaluza-Klein compactification. For the latter, we find that this quantity interpolates between zero and the value for the uncompactified spacetime, as the size of the compact dimension increases. Thus, the quasi-local energy is able to discriminate between the two spacetimes.
Keywords
Cite
@article{arxiv.1805.00963,
title = {Quasi-local energy and compactification},
author = {Enrique Alvarez and Jesus Anero and Guillermo Milans del Bosch and Raquel Santos-Garcia},
journal= {arXiv preprint arXiv:1805.00963},
year = {2018}
}
Comments
11 pages, 2 figures