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arXiv · 1805.00963

Quasi-local energy and compactification

Enrique Alvarez·Jesus Anero·Guillermo Milans del Bosch·Raquel Santos-Garcia
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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.

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Enrique Alvarez, Jesus Anero, Guillermo Milans del Bosch, Raquel Santos-Garcia. 2018-05-02. Quasi-local energy and compactification. https://doi.org/10.1007/jhep06(2018)069

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