Black Strings Ending on Horizons

Abstract

We construct an approximate static gravitational solution of the Einstein equations, with negative cosmological constant, describing a test black string stretching from the boundary of the Schwarzschild-AdS_5 black brane toward the horizon. The construction builds on a derivative expansion method, assuming that the black brane metric changes slowly along the black string direction. We provide a solution up to second order in derivatives and it implies, in particular, that the black string must shrink to zero size at the horizon of the black brane. In the near horizon region of the black brane, where the two horizons intersect, we provide an exact solution of a cone that describes two intersecting horizons at different temperatures. Moreover, we show that this solution equally describes a thin and long black droplet.

16 pages. v2: minor corrections. v3: appendix added

References in corpus (5)

• Drag force in AdS/CFT
• Momentum fluctuations of heavy quarks in the gauge-string duality
• World-Volume Effective Theory for Higher-Dimensional Black Holes
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Evidence that highly non-uniform black strings have a conical waist

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• A holographic stress-energy tensor near the Cauchy horizon inside a rotating black hole
• A Black Hole inside Dark Matter and the Rotation Curves of Galaxies
• All Static Black Holes in AdS${}_3$
• The first law of entanglement entropy in AdS black hole backgrounds