Spacetime Topology and the Laws of Black Hole-Soliton Mechanics
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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2017-01-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/19/1/35 |
| _version_ | 1811304582789201920 |
|---|---|
| author | Hari K. Kunduri |
| author_facet | Hari K. Kunduri |
| author_sort | Hari K. Kunduri |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T08:09:52Z |
| format | Article |
| id | doaj.art-13aa5c8fd0bc4777b3b2466a84fbedc3 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-13T08:09:52Z |
| publishDate | 2017-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-13aa5c8fd0bc4777b3b2466a84fbedc32022-12-22T02:55:02ZengMDPI AGEntropy1099-43002017-01-011913510.3390/e19010035e19010035Spacetime Topology and the Laws of Black Hole-Soliton MechanicsHari K. Kunduri0Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C 2S6, CanadaThe 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.http://www.mdpi.com/1099-4300/19/1/35black holes in higher dimensionssupergravityblack hole thermodynamicsgravitational aspects of string theory |
| spellingShingle | Hari K. Kunduri Spacetime Topology and the Laws of Black Hole-Soliton Mechanics Entropy black holes in higher dimensions supergravity black hole thermodynamics gravitational aspects of string theory |
| title | Spacetime Topology and the Laws of Black Hole-Soliton Mechanics |
| title_full | Spacetime Topology and the Laws of Black Hole-Soliton Mechanics |
| title_fullStr | Spacetime Topology and the Laws of Black Hole-Soliton Mechanics |
| title_full_unstemmed | Spacetime Topology and the Laws of Black Hole-Soliton Mechanics |
| title_short | Spacetime Topology and the Laws of Black Hole-Soliton Mechanics |
| title_sort | spacetime topology and the laws of black hole soliton mechanics |
| topic | black holes in higher dimensions supergravity black hole thermodynamics gravitational aspects of string theory |
| url | http://www.mdpi.com/1099-4300/19/1/35 |
| work_keys_str_mv | AT harikkunduri spacetimetopologyandthelawsofblackholesolitonmechanics |