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Black ring with a positive cosmological constant

2006/11/30 by Chong‐Sun Chu, Chong-Sun Chu, Shou-Huang Dai · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevd.75.064016

published as Phys.Rev.D75:064016,2007 · v2. LaTex, 19 pages. with some corrections and comments added

arxiv created 2006/12/05 · openalex publication_date 2007/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a black ring with a cosmological constant in the five-dimensional N=4 de Sitter supergravity theory. Our solution preserves half of the de Sitter supersymmetries and has one rotation symmetry. Unlike the flat case, there is no angular momentum and the stability against gravitational self-attraction is balanced by the cosmological repulsion due to the cosmological constant. Our solution describes a singular black ring since, although it has horizons of topology S1\ifmmode×\else\texttimes\fiS2, the horizons are singular. Despite the singularity, our solution displays some interesting regular physical properties: it carries a dipole charge and this charge contributes to the first law of thermodynamics; it has an entropy and mass which conform to the entropic N-bound proposal and the maximal mass conjecture. We conjecture that the Gregory-Laflamme instability leads to a resolution of the singularity and results in a regular black ring.

Citations

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