5-dimensional space-periodic solutions of the static vacuum Einstein equations
Abstract An affirmative answer is given to a conjecture of Myers concerning the existence of 5-dimensional regular static vacuum solutions that balance an infinite number of black holes, which have Kasner asymptotics. A variety of examples are constructed, having different combinations of ring S 1 ×...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2020)002 |
| _version_ | 1797659875257352192 |
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| author | Marcus Khuri Gilbert Weinstein Sumio Yamada |
| author_facet | Marcus Khuri Gilbert Weinstein Sumio Yamada |
| author_sort | Marcus Khuri |
| collection | DOAJ |
| description | Abstract An affirmative answer is given to a conjecture of Myers concerning the existence of 5-dimensional regular static vacuum solutions that balance an infinite number of black holes, which have Kasner asymptotics. A variety of examples are constructed, having different combinations of ring S 1 × S 2 and sphere S 3 cross-sectional horizon topologies. Furthermore, we show the existence of 5-dimensional vacuum solitons with Kasner asymptotics. These are regular static space-periodic vacuum spacetimes devoid of black holes. Consequently, we also obtain new examples of complete Riemannian manifolds of nonnegative Ricci curvature in dimension 4, and zero Ricci curvature in dimension 5, having arbitrarily large as well as infinite second Betti number. |
| first_indexed | 2024-03-11T18:21:30Z |
| format | Article |
| id | doaj.art-da4a57342a164043bc1da4131d99f4ca |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T18:21:30Z |
| publishDate | 2020-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-da4a57342a164043bc1da4131d99f4ca2023-10-15T11:04:41ZengSpringerOpenJournal of High Energy Physics1029-84792020-12-0120201212110.1007/JHEP12(2020)0025-dimensional space-periodic solutions of the static vacuum Einstein equationsMarcus Khuri0Gilbert Weinstein1Sumio Yamada2Department of Mathematics, Stony Brook UniversityPhysics Department and Department of Mathematics, Ariel UniversityDepartment of Mathematics, Gakushuin UniversityAbstract An affirmative answer is given to a conjecture of Myers concerning the existence of 5-dimensional regular static vacuum solutions that balance an infinite number of black holes, which have Kasner asymptotics. A variety of examples are constructed, having different combinations of ring S 1 × S 2 and sphere S 3 cross-sectional horizon topologies. Furthermore, we show the existence of 5-dimensional vacuum solitons with Kasner asymptotics. These are regular static space-periodic vacuum spacetimes devoid of black holes. Consequently, we also obtain new examples of complete Riemannian manifolds of nonnegative Ricci curvature in dimension 4, and zero Ricci curvature in dimension 5, having arbitrarily large as well as infinite second Betti number.https://doi.org/10.1007/JHEP12(2020)002Black HolesDifferential and Algebraic Geometry |
| spellingShingle | Marcus Khuri Gilbert Weinstein Sumio Yamada 5-dimensional space-periodic solutions of the static vacuum Einstein equations Journal of High Energy Physics Black Holes Differential and Algebraic Geometry |
| title | 5-dimensional space-periodic solutions of the static vacuum Einstein equations |
| title_full | 5-dimensional space-periodic solutions of the static vacuum Einstein equations |
| title_fullStr | 5-dimensional space-periodic solutions of the static vacuum Einstein equations |
| title_full_unstemmed | 5-dimensional space-periodic solutions of the static vacuum Einstein equations |
| title_short | 5-dimensional space-periodic solutions of the static vacuum Einstein equations |
| title_sort | 5 dimensional space periodic solutions of the static vacuum einstein equations |
| topic | Black Holes Differential and Algebraic Geometry |
| url | https://doi.org/10.1007/JHEP12(2020)002 |
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