Simulation of Black Hole Collisions in Asymptotically AdS Spacetimes

Abstract

We present results from the evolution of spacetimes that describe the merger of asymptotically global AdS black holes in 5D with an SO(3) symmetry. Prompt scalar field collapse provides us with a mechanism for producing distinct trapped regions on the initial slice, associated with black holes initially at rest. We evolve these black holes towards a merger, and follow the subsequent ring-down. The boundary stress tensor of the dual CFT is conformally related to a stress tensor in Minkowski space which inherits an axial symmetry from the bulk SO(3). We compare this boundary stress tensor to its hydrodynamic counterpart with viscous corrections of up to second order, and compare the conformally related stress tensor to ideal hydrodynamic simulations in Minkowski space, initialized at various time slices of the boundary data. Our findings reveal far-from-hydrodynamic behavior at early times, with a transition to ideal hydrodynamics at late times.

5 pages, 4 figures

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• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Holography and colliding gravitational shock waves in asymptotically AdS_5 spacetime
• Entropy production in collisions of gravitational shock waves and of heavy ions
• Entropy Current in Conformal Hydrodynamics
• Ultrarelativistic black hole formation
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Cited by in corpus (4)

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• Holography, Hydrodynamization and Heavy-Ion Collisions
• Non-Spherically Symmetric Collapse in Asymptotically AdS Spacetimes
• Gravitational systems in asymptotically anti-de Sitter space-times