Black string solutions with negative cosmological constant

2006/04/30 by Robert B. Mann, Robert B Mann, Eugen Radu +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Black hole (networking) #Black string #Conformal map #Conformal symmetry #Cosmological constant #Cosmology and Gravitation Theories #Dilaton #Effective action #Event horizon #Horizon #String (physics) #gr-qc #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/09/073

published as JHEP0609:073,2006 · 21 pages, 6 figures, v.2 revised version, added references

arxiv created 2006/05/28 · openalex publication_date 2006/09/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present arguments for the existence of new black string solutions with negative cosmological constant. These higher-dimensional configurations have no dependence on the `compact' extra dimension, and their conformal infinity is the product of time and S^d-3× R or H^d-3× R. The configurations with an event horizon topology S^d-2× S¹ have a nontrivial, globally regular limit with zero event horizon radius. We discuss the general properties of such solutions and, using a counterterm prescription, we compute their conserved charges and discuss their thermodynamics. Upon performing a dimensional reduction we prove that the reduced action has an effective SL(2,R) symmetry. This symmetry is used to construct non-trivial solutions of the Einstein-Maxwell-Dilaton system with a Liouville-type potential for the dilaton in (d-1)-dimensions.

Citations

• Black hole in three-dimensional spacetime
• Charged Dilaton Black Holes with Unusual Asymptotics
• The general Kerr–de Sitter metrics in all dimensions
• Conserved quantities in Kerr-anti-de Sitter spacetimes in various dimensions
• New phase diagram for black holes and strings on cylinders
• New inhomogeneous Einstein metrics on sphere bundles over Einstein–Kähler manifolds
• Black strings andp-branes are unstable
• Rotating Black Holes in Higher Dimensions with a Cosmological Constant
• Thermodynamics of black holes in anti-de Sitter space
• The large N limit of superconformal field theories and supergravity

Cited by

• Black holes as lumps of fluid
• Stability of the warped black string with nontrivial topology in five-dimensional anti–de Sitter spacetime
• Holographic superfluid/fluid/insulator phase transitions in2+1dimensions