{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:10:28Z","timestamp":1760242228834,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2017,1,17]],"date-time":"2017-01-17T00:00:00Z","timestamp":1484611200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>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\u2014\u201cgravitational solitons\u201d\u2014may 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.<\/jats:p>","DOI":"10.3390\/e19010035","type":"journal-article","created":{"date-parts":[[2017,1,18]],"date-time":"2017-01-18T10:00:47Z","timestamp":1484733647000},"page":"35","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Spacetime Topology and the Laws of Black Hole-Soliton Mechanics"],"prefix":"10.3390","volume":"19","author":[{"given":"Hari","family":"Kunduri","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John\u2019s, NL A1C 2S6, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,1,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"7","DOI":"10.12942\/lrr-2012-7","article-title":"Stationary Black Holes: Uniqueness and Beyond","volume":"15","author":"Chrusciel","year":"2012","journal-title":"Living Rev. 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