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Large rotating AdS black holes from fluid mechanics

8 Pith papers cite this work. Polarity classification is still indexing.

8 Pith papers citing it
abstract

We use the AdS/CFT correspondence to argue that large rotating black holes in global AdS(D) spaces are dual to stationary solutions of the relativistic Navier-Stokes equations on S**(D-2). Reading off the equation of state of this fluid from the thermodynamics of non-rotating black holes, we proceed to construct the nonlinear spinning solutions of fluid mechanics that are dual to rotating black holes. In all known examples, the thermodynamics and the local stress tensor of our solutions are in precise agreement with the thermodynamics and boundary stress tensor of the spinning black holes. Our fluid dynamical description applies to large non-extremal black holes as well as a class of large non-supersymmetric extremal black holes, but is never valid for supersymmetric black holes. Our results yield predictions for the thermodynamics of all large black holes in all theories of gravity on AdS spaces, for example, string theory on AdS(5) x S**5 and M theory on AdS(4) x S**7 and AdS(7) x S**4.

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representative citing papers

All-order fluctuating hydrodynamics of the SYK lattice

hep-th · 2026-04-20 · conditional · novelty 8.0

Derives the all-order fluctuating hydrodynamics effective action and transport coefficients for the SYK lattice from its microscopic pseudo-Goldstone boson action.

CFTs on Squashed Spheres and the Thermal Effective Action

hep-th · 2026-06-29 · unverdicted · novelty 7.0

Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.

Moduli Spaces in CFT: Large Charge Operators

hep-th · 2024-06-27 · unverdicted · novelty 7.0

CFTs with broken continuous global symmetry on the moduli space require a tower of charged local operators whose scaling dimensions are asymptotically linear in the charge.

Black Holes and Random Variables

hep-th · 2026-07-02 · unverdicted · novelty 6.0

Formulates an avatar of the Fyodorov-Hiary-Keating conjecture for black hole microstate counts, implying sharp bounds on CFT primary operator interval counts and suggesting that AdS spectra exhibit extreme value statistics of Gaussian log-correlated random matrices.

Holographic pressure and volume for black holes

hep-th · 2026-02-04 · unverdicted · novelty 5.0

Introduces a holographic pressure and volume for static spherically symmetric black holes via quasi-local thermodynamics, showing large black holes become extensive in the large-system limit while small ones do not.

citing papers explorer

Showing 8 of 8 citing papers after filters.

  • All-order fluctuating hydrodynamics of the SYK lattice hep-th · 2026-04-20 · conditional · none · ref 53

    Derives the all-order fluctuating hydrodynamics effective action and transport coefficients for the SYK lattice from its microscopic pseudo-Goldstone boson action.

  • CFTs on Squashed Spheres and the Thermal Effective Action hep-th · 2026-06-29 · unverdicted · none · ref 10 · internal anchor

    Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.

  • Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond hep-th · 2026-01-28 · unverdicted · none · ref 77 · internal anchor

    A resource theory for strong symmetry breaking is formulated, with the variance of the conserved quantity characterizing its asymptotic manipulation for U(1) symmetry and enabling tracking of weak-to-strong conversion in open systems.

  • Moduli Spaces in CFT: Large Charge Operators hep-th · 2024-06-27 · unverdicted · none · ref 83 · internal anchor

    CFTs with broken continuous global symmetry on the moduli space require a tower of charged local operators whose scaling dimensions are asymptotically linear in the charge.

  • Black Holes and Random Variables hep-th · 2026-07-02 · unverdicted · none · ref 6 · internal anchor

    Formulates an avatar of the Fyodorov-Hiary-Keating conjecture for black hole microstate counts, implying sharp bounds on CFT primary operator interval counts and suggesting that AdS spectra exhibit extreme value statistics of Gaussian log-correlated random matrices.

  • Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS$_4$ Black Holes hep-th · 2025-08-07 · unverdicted · none · ref 48 · internal anchor

    Multiple microscopic methods confirm universality of AdS4 black hole entropy for non-extremal cases at high temperatures and show Hawking radiation rate proportional to horizon area.

  • Semi-universality of conformal higher-derivative and conformal higher-spin fields hep-th · 2026-06-07 · unverdicted · none · ref 2 · internal anchor

    Thermal partition functions of conformal higher-derivative and higher-spin fields develop universal poles in (1-|ω_i|) in the semi-universal limit, with residues sensitive to negative-twist states, verified via mode sums and operator counting and reproduced from AdS5.

  • Holographic pressure and volume for black holes hep-th · 2026-02-04 · unverdicted · none · ref 135 · internal anchor

    Introduces a holographic pressure and volume for static spherically symmetric black holes via quasi-local thermodynamics, showing large black holes become extensive in the large-system limit while small ones do not.