Geometric horizons
We discuss black hole spacetimes with a geometrically defined quasi-local horizon on which the curvature tensor is algebraically special relative to the alignment classification. Based on many examples and analytical results, we conjecture that a spacetime horizon is always more algebraically specia...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2017-08-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317303544 |
| _version_ | 1819206456687198208 |
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| author | Alan A. Coley David D. McNutt Andrey A. Shoom |
| author_facet | Alan A. Coley David D. McNutt Andrey A. Shoom |
| author_sort | Alan A. Coley |
| collection | DOAJ |
| description | We discuss black hole spacetimes with a geometrically defined quasi-local horizon on which the curvature tensor is algebraically special relative to the alignment classification. Based on many examples and analytical results, we conjecture that a spacetime horizon is always more algebraically special (in all of the orders of specialization) than other regions of spacetime. Using recent results in invariant theory, such geometric black hole horizons can be identified by the alignment type II or D discriminant conditions in terms of scalar curvature invariants, which are not dependent on spacetime foliations. The above conjecture is, in fact, a suite of conjectures (isolated vs dynamical horizon; four vs higher dimensions; zeroth order invariants vs higher order differential invariants). However, we are particularly interested in applications in four dimensions and especially the location of a black hole in numerical computations. |
| first_indexed | 2024-12-23T05:07:53Z |
| format | Article |
| id | doaj.art-c8ef97ad19ef4fe79583b6fed9b80e0c |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-23T05:07:53Z |
| publishDate | 2017-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-c8ef97ad19ef4fe79583b6fed9b80e0c2022-12-21T17:59:02ZengElsevierPhysics Letters B0370-26932017-08-01771131135Geometric horizonsAlan A. Coley0David D. McNutt1Andrey A. Shoom2Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, CanadaFaculty of Science and Technology, University of Stavanger, N-4036 Stavanger, Norway; Corresponding author.Department of Mathematics and Statistics, Memorial University, St. John's, Newfoundland and Labrador, A1C 5S7, CanadaWe discuss black hole spacetimes with a geometrically defined quasi-local horizon on which the curvature tensor is algebraically special relative to the alignment classification. Based on many examples and analytical results, we conjecture that a spacetime horizon is always more algebraically special (in all of the orders of specialization) than other regions of spacetime. Using recent results in invariant theory, such geometric black hole horizons can be identified by the alignment type II or D discriminant conditions in terms of scalar curvature invariants, which are not dependent on spacetime foliations. The above conjecture is, in fact, a suite of conjectures (isolated vs dynamical horizon; four vs higher dimensions; zeroth order invariants vs higher order differential invariants). However, we are particularly interested in applications in four dimensions and especially the location of a black hole in numerical computations.http://www.sciencedirect.com/science/article/pii/S0370269317303544 |
| spellingShingle | Alan A. Coley David D. McNutt Andrey A. Shoom Geometric horizons Physics Letters B |
| title | Geometric horizons |
| title_full | Geometric horizons |
| title_fullStr | Geometric horizons |
| title_full_unstemmed | Geometric horizons |
| title_short | Geometric horizons |
| title_sort | geometric horizons |
| url | http://www.sciencedirect.com/science/article/pii/S0370269317303544 |
| work_keys_str_mv | AT alanacoley geometrichorizons AT daviddmcnutt geometrichorizons AT andreyashoom geometrichorizons |