On Black Ring with a Positive Cosmological Constant

Details On Black Ring with a Positive Cosmological Constant On Black Ring with a Positive Cosmological Constant

2006-11-29

arxiv.org/abs/hep-th/0611325v2

Phys.Rev.D75:064016,2007

Physics

High Energy Physics

High Energy Physics - Theory

v2. LaTex, 19 pages. with some corrections and comments added

Scientific paper

10.1103/PhysRevD.75.064016

We consider 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 S^1 x S^2, 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.

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