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Black Hole Supertranslations and Hydrodynamic Enstrophy
Raja Marjieh1, Natalia Pinzani-Fokeeva2, Bar Tavor3
1Department of Psychology, Princeton University, Princeton, New Jersey 08544, USA.
Physical Review Letters
|July 1, 2022
Summary
We found that approximate horizon symmetries in Anti-de Sitter (AdS) black branes relate to conserved currents in fluid dynamics. Specifically, conserved enstrophy currents in 2+1 dimensions imply approximate supertranslations for AdS black branes.
Area of Science:
- Theoretical physics
- Black hole thermodynamics
- Fluid dynamics
Background:
- Investigating the relationship between symmetries of black holes and their dual descriptions.
- Understanding approximate conservation laws in holographic contexts.
Purpose of the Study:
- To connect approximate horizon symmetries of Anti-de Sitter (AdS) black branes with conserved currents in their dual hydrodynamic description.
- To identify a special class of approximate supertranslations in AdS black branes.
Main Methods:
- Analyzing the properties of approximate horizon symmetries in AdS black branes.
- Examining the dual hydrodynamic description and conserved currents.
- Utilizing the unique properties of 2+1 dimensional fluid flow and enstrophy currents.
Main Results:
- Established a direct relation between approximate horizon symmetries of AdS black branes and approximately conserved currents.
- Demonstrated that the existence of an approximately conserved enstrophy current in 2+1 dimensional fluid flow is a key indicator.
- Identified a specific class of approximate supertranslations inherent to AdS_{4} black branes.
Conclusions:
- The study provides a deeper understanding of the interplay between gravitational systems and fluid dynamics in holographic theories.
- The findings suggest a novel way to characterize approximate symmetries in black hole physics.
- The identified approximate supertranslations offer new avenues for exploring the dynamics of AdS black branes.
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