Nonexistence of degenerate horizons in static vacua and black hole uniqueness
We show that in any spacetime dimension D≥4, degenerate components of the event horizon do not exist in static vacuum configurations with positive cosmological constant. We also show that without a cosmological constant asymptotically flat solutions cannot possess a degenerate horizon component. Sev...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018-02-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317310298 |
| _version_ | 1818131403149148160 |
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| author | Marcus Khuri Eric Woolgar |
| author_facet | Marcus Khuri Eric Woolgar |
| author_sort | Marcus Khuri |
| collection | DOAJ |
| description | We show that in any spacetime dimension D≥4, degenerate components of the event horizon do not exist in static vacuum configurations with positive cosmological constant. We also show that without a cosmological constant asymptotically flat solutions cannot possess a degenerate horizon component. Several independent proofs are presented. One proof follows easily from differential geometry in the near-horizon limit, while others use Bakry–Émery–Ricci bounds for static Einstein manifolds. |
| first_indexed | 2024-12-11T08:20:23Z |
| format | Article |
| id | doaj.art-d45c87b628c349d29f98477db6e76ac4 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-11T08:20:23Z |
| publishDate | 2018-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-d45c87b628c349d29f98477db6e76ac42022-12-22T01:14:40ZengElsevierPhysics Letters B0370-26932018-02-01777235239Nonexistence of degenerate horizons in static vacua and black hole uniquenessMarcus Khuri0Eric Woolgar1Department of Mathematics, Stony Brook University, Stony Brook, NY 11794, USADepartment of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB T6G 2G1, CanadaWe show that in any spacetime dimension D≥4, degenerate components of the event horizon do not exist in static vacuum configurations with positive cosmological constant. We also show that without a cosmological constant asymptotically flat solutions cannot possess a degenerate horizon component. Several independent proofs are presented. One proof follows easily from differential geometry in the near-horizon limit, while others use Bakry–Émery–Ricci bounds for static Einstein manifolds.http://www.sciencedirect.com/science/article/pii/S0370269317310298 |
| spellingShingle | Marcus Khuri Eric Woolgar Nonexistence of degenerate horizons in static vacua and black hole uniqueness Physics Letters B |
| title | Nonexistence of degenerate horizons in static vacua and black hole uniqueness |
| title_full | Nonexistence of degenerate horizons in static vacua and black hole uniqueness |
| title_fullStr | Nonexistence of degenerate horizons in static vacua and black hole uniqueness |
| title_full_unstemmed | Nonexistence of degenerate horizons in static vacua and black hole uniqueness |
| title_short | Nonexistence of degenerate horizons in static vacua and black hole uniqueness |
| title_sort | nonexistence of degenerate horizons in static vacua and black hole uniqueness |
| url | http://www.sciencedirect.com/science/article/pii/S0370269317310298 |
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