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Entropy 2017, 19(1), 35; doi:10.3390/e19010035

Spacetime Topology and the Laws of Black Hole-Soliton Mechanics

Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C 2S6, Canada
Academic Editor: David Kubiznak
Received: 28 October 2016 / Revised: 8 January 2017 / Accepted: 12 January 2017 / Published: 17 January 2017
(This article belongs to the Special Issue Black Hole Thermodynamics II)
View Full-Text   |   Download PDF [390 KB, uploaded 17 January 2017]


The domain of outer communication of an asymptotically flat spactime must be simply connected. In five dimensions, this still allows for the possibility of an arbitrary number of 2-cycles supported by magnetic flux carried by Maxwell fields. As a result, stationary, asymptotically flat, horizonless solutions—“gravitational solitons”—may exist with non-vanishing mass, charge, and angular momenta. These gravitational solutions satisfy a Smarr-like relation, as well as a first law of mechanics. Furthermore, the presence of solitons leads to new terms in the well-known first law of black hole mechanics for spacetimes containing black hole horizons and non-trivial topology in the exterior region. I outline the derivation of these results and consider an explicit example in five-dimensional supergravity. View Full-Text
Keywords: black holes in higher dimensions; supergravity; black hole thermodynamics; gravitational aspects of string theory black holes in higher dimensions; supergravity; black hole thermodynamics; gravitational aspects of string theory
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Kunduri, H.K. Spacetime Topology and the Laws of Black Hole-Soliton Mechanics. Entropy 2017, 19, 35.

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