Initial Data for Black Holes and Black Strings in 5d

Abstract

We explore time-symmetric hypersurfaces containing apparent horizons of black objects in a 5d spacetime with one coordinate compactified on a circle. We find a phase transition within the family of such hypersurfaces: the horizon has different topology for different parameters. The topology varies from $S^3$ to $S^2\times S^1$. This phase transition is discontinuous -- the topology of the horizon changes abruptly. We explore the behavior around the critical point and present a possible phase diagram.

4 pp, 3 figs. v3: Discussion extended including know variouse choices of the source. The value of ${\zeta }_c$, errors and typos are corrected. Conclusions clarified but ain't changed. More references added. Accepted for publication in PRL

References in corpus (9)

• Black Strings and p-Branes are Unstable
• The Instability of Charged Black Strings and p-Branes
• On non-uniform black branes
• Fate of the Black String Instability
• The Head-On Collision of Two Equal Mass Black Holes Peter Anninos
• Black Holes on Cylinders
• The 3D Grazing Collision of Two Black Holes
• Dynamics of Apparent and Event Horizons
• Black holes in the brane world:Time symmetric initial data

Cited by in corpus (15)

• Instability of Ultra-Spinning Black Holes
• A critical dimension in the black-string phase transition
• Small Black Holes on Cylinders
• New Phase Diagram for Black Holes and Strings on Cylinders
• A Dialogue of Multipoles: Matched Asymptotic Expansion for Caged Black Holes
• On Black-Brane Instability In an Arbitrary Dimension
• Phase Structure of Black Holes and Strings on Cylinders
• Caged Black Holes: Black Holes in Compactified Spacetimes I -- Theory
• Caged Black Holes: Black Holes in Compactified Spacetimes II - 5d Numerical Implementation
• Black Holes in a Compactified Spacetime
• An axisymmetric generalized harmonic evolution code
• Kinematical bound in asymptotically translationally invariant spacetimes
• Effective theory for close limit of two branes
• Spatial infinity in higher dimensional spacetimes
• Arbitrary black-string deformations in the black string-black hole transitions