In pure N=4 Poincaré supergravity, all extremal spherically symmetric attractors (constant or non-constant moduli) preserve 1/4 supersymmetry for generic charges with I4>0; non-BPS attractors cannot occur.
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In charged AdS black holes, the topological number W changes at a boundary membership event τ_a, while the branch response C_par diverges at a separate turning point τ_b, because the two diagnostics track different local structures of the same zero point curve.
Lukewarm RNdS black holes are promoted to a critical inter-horizon thermal manifold where a linearized mode's relaxation time diverges at ρ_* ≈ 0.4354.
Multi-fractional Schwarzschild black holes have profile-insensitive Noether mass and geometric area-law entropy, but require an extended first law with work terms for the q-profile parameters to restore integrability of the Clausius relation.
In Modified Gravity, a scalar breathing-mode perturbation yields non-thermal radiation and second-order entropy production, while a running MOG parameter α(M) quenches Hawking radiation into a stable remnant.
Charge most strongly controls JT inversion and cooling domains of the f(R,T)-NLED AdS black hole; NLED and modified-gravity parameters supply only sub-leading corrections that leave exterior geodesics close to RN-AdS.
An exact black hole solution in Born-Infeld-f(R) gravity shows thermodynamic quantities that deviate from Schwarzschild-AdS predictions.
citing papers explorer
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Supersymmetry and Attractors in N = 4 Supergravity: The Superconformal Approach
In pure N=4 Poincaré supergravity, all extremal spherically symmetric attractors (constant or non-constant moduli) preserve 1/4 supersymmetry for generic charges with I4>0; non-BPS attractors cannot occur.
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Topological changes and response singularities in black hole thermodynamic branch structure
In charged AdS black holes, the topological number W changes at a boundary membership event τ_a, while the branch response C_par diverges at a separate turning point τ_b, because the two diagnostics track different local structures of the same zero point curve.
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Critical Inter-Horizon Thermal Dynamics on the Lukewarm Reissner-Nordstr\"om-de Sitter Manifold
Lukewarm RNdS black holes are promoted to a critical inter-horizon thermal manifold where a linearized mode's relaxation time diverges at ρ_* ≈ 0.4354.
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Noether charges and the first law of thermodynamics for multifractional Schwarzschild black hole in the q-derivative theory
Multi-fractional Schwarzschild black holes have profile-insensitive Noether mass and geometric area-law entropy, but require an extended first law with work terms for the q-profile parameters to restore integrability of the Clausius relation.
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Dynamical Black Hole Thermodynamics in Modified Gravity
In Modified Gravity, a scalar breathing-mode perturbation yields non-thermal radiation and second-order entropy production, while a running MOG parameter α(M) quenches Hawking radiation into a stable remnant.
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Joule-Thomson Effect and Geodesic Structure of Charged AdS Black Holes in f(R,T) Coupled with Nonlinear Electrodynamics
Charge most strongly controls JT inversion and cooling domains of the f(R,T)-NLED AdS black hole; NLED and modified-gravity parameters supply only sub-leading corrections that leave exterior geodesics close to RN-AdS.
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Born-Infeld-f(R) black holes
An exact black hole solution in Born-Infeld-f(R) gravity shows thermodynamic quantities that deviate from Schwarzschild-AdS predictions.