Unique quasi-topological theories with first-order equations are found for Taub-NUT, NHEK, swirling and related 4D symmetric metrics, enabling closed-form solutions and regular black holes from high-order curvature corrections.
The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
13 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We study the near horizon limit of a four dimensional extreme rotating black hole. The limiting metric is a completely nonsingular vacuum solution, with an enhanced symmetry group SL(2,R) x U(1). We show that many of the properties of this solution are similar to the AdS_2 x S^2 geometry arising in the near horizon limit of extreme charged black holes. In particular, the boundary at infinity is a timelike surface. This suggests the possibility of a dual quantum mechanical description. A five dimensional generalization is also discussed.
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Under stationary axisymmetry and no mixed energy-momentum fluxes, the Einstein equations force a constant-Schwarzian constraint that locally selects Kerr-type hidden symmetry.
Numerical construction of asymptotically flat charged rotating black holes in EMd theory for arbitrary dilaton coupling gamma, with analysis of parameter space, zero-temperature limits, and hints of non-uniqueness.
Near-extremal BTZ and warped BTZ in TMG receive log-T corrections from Schwarzian and rotational zero modes whose full-geometry eigenvalues match the throat after non-normalizable eigenfunction corrections and BC specification.
Numerical non-perturbative stationary vacuum ring wormhole solutions invariant under throat reflections, with slow-rotation M ~ J^2, fast-rotation J = M^2, and limits mimicking extremal Kerr.
Presents the first analytic singly rotating near-horizon solution in 5D Einstein-Gauss-Bonnet gravity with finite curvature invariants for limited rotation.
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.
Black holes with infinitely degenerate horizons are proposed to be stable against Aretakis instability, potentially serving as end states.
The universal logarithmic temperature dependence in near-extremal black hole thermodynamics originates from the first-order lifting of Lichnerowicz tensor zero modes in a 2D maximally symmetric throat, which after normalization projects to the Schwarzian sector independently of parent geometry detai
Axions cause singularities on the horizons of extremal rotating charged black holes for almost all axion mass and coupling values.
Near-EVH limits of AdS6 and AdS7 black holes produce conformally related lower-dimensional black hole solutions in EMMD gravity, opening a potential path to microscopic entropy counting for non-AdS black holes via higher-dimensional AdS/CFT.
citing papers explorer
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Quasi-topological gravity for 4-dimensional Taub-NUT, near-horizon extreme Kerr, and swirling symmetries
Unique quasi-topological theories with first-order equations are found for Taub-NUT, NHEK, swirling and related 4D symmetric metrics, enabling closed-form solutions and regular black holes from high-order curvature corrections.
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Local Origin of Hidden Symmetry in Rotating Spacetimes
Under stationary axisymmetry and no mixed energy-momentum fluxes, the Einstein equations force a constant-Schwarzian constraint that locally selects Kerr-type hidden symmetry.
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Charged, rotating black holes in Einstein-Maxwell-dilaton theory
Numerical construction of asymptotically flat charged rotating black holes in EMd theory for arbitrary dilaton coupling gamma, with analysis of parameter space, zero-temperature limits, and hints of non-uniqueness.
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Quantum corrections to the near-extremal thermodynamics of (warped) BTZ black holes
Near-extremal BTZ and warped BTZ in TMG receive log-T corrections from Schwarzian and rotational zero modes whose full-geometry eigenvalues match the throat after non-normalizable eigenfunction corrections and BC specification.
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Stationary generalizations for the vacuum ring wormhole
Numerical non-perturbative stationary vacuum ring wormhole solutions invariant under throat reflections, with slow-rotation M ~ J^2, fast-rotation J = M^2, and limits mimicking extremal Kerr.
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An Exact Single-Rotating Near-Horizon Geometry in Einstein-Gauss-Bonnet Gravity
Presents the first analytic singly rotating near-horizon solution in 5D Einstein-Gauss-Bonnet gravity with finite curvature invariants for limited rotation.
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Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS$_4$ Black Holes
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.
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Taming the Aretakis instability: extremal black holes with multi-degenerate horizons
Black holes with infinitely degenerate horizons are proposed to be stable against Aretakis instability, potentially serving as end states.
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Universal Lichnerowicz Lifting of Near-Horizon Soft Modes
The universal logarithmic temperature dependence in near-extremal black hole thermodynamics originates from the first-order lifting of Lichnerowicz tensor zero modes in a 2D maximally symmetric throat, which after normalization projects to the Schwarzian sector independently of parent geometry detai
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Axions Create Singularities on Extremal Horizons
Axions cause singularities on the horizons of extremal rotating charged black holes for almost all axion mass and coupling values.
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Probing decoupled Throats of AdS$_{D}$ Black Holes in $D=6,7$
Near-EVH limits of AdS6 and AdS7 black holes produce conformally related lower-dimensional black hole solutions in EMMD gravity, opening a potential path to microscopic entropy counting for non-AdS black holes via higher-dimensional AdS/CFT.
- Probing Effective Field Theory Corrections with Quasinormal Modes and Gravitational Lensing in Reissner-Nordstr\"om Black Holes
- Black hole spectroscopy: from theory to experiment