A spherically symmetric charged black hole evaporating via Hawking radiation can remain regular, with neither a singularity nor a Cauchy horizon, due to electromagnetic repulsion and energy-condition violation.
General Laws of Black-Hole Dynamics
4 Pith papers cite this work. Polarity classification is still indexing.
abstract
A general definition of a black hole is given, and general `laws of black-hole dynamics' derived. The definition involves something similar to an apparent horizon, a trapping horizon, defined as a hypersurface foliated by marginal surfaces of one of four non-degenerate types, described as future or past, and outer or inner. If the boundary of an inextendible trapped region is suitably regular, then it is a (possibly degenerate) trapping horizon. The future outer trapping horizon provides the definition of a black hole. Outer marginal surfaces have spherical or planar topology. Trapping horizons are null only in the instantaneously stationary case, and otherwise outer trapping horizons are spatial and inner trapping horizons are Lorentzian. Future outer trapping horizons have non-decreasing area form, constant only in the null case---the `second law'. A definition of the trapping gravity of an outer trapping horizon is given, generalizing surface gravity. The total trapping gravity of a compact outer marginal surface has an upper bound, attained if and only if the trapping gravity is constant---the `zeroth law'. The variation of the area form along an outer trapping horizon is determined by the trapping gravity and an energy flux---the `first law'.
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background 1representative citing papers
Interior MOTS in Hayward black holes are located via the b-parameter metric, with self-intersecting pairs identified and positions near the inner horizon given by hypergeometric functions from a singular Sturm-Liouville reduction whose eigenspace is complete but non-discrete and discontinuous.
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.
Applies Parikh-Wilczek tunneling with backreaction to evaporating AdS black holes, finding luminosity deviates from blackbody scaling for small masses due to rapid mass loss, and computes renormalized energy-momentum tensor in Vaidya-AdS.
citing papers explorer
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Radiating black holes in general relativity need not be singular
A spherically symmetric charged black hole evaporating via Hawking radiation can remain regular, with neither a singularity nor a Cauchy horizon, due to electromagnetic repulsion and energy-condition violation.
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Interior marginally outer trapped surfaces in Hayward black holes
Interior MOTS in Hayward black holes are located via the b-parameter metric, with self-intersecting pairs identified and positions near the inner horizon given by hypergeometric functions from a singular Sturm-Liouville reduction whose eigenspace is complete but non-discrete and discontinuous.
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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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Hawking atmosphere of anti-de Sitter black holes
Applies Parikh-Wilczek tunneling with backreaction to evaporating AdS black holes, finding luminosity deviates from blackbody scaling for small masses due to rapid mass loss, and computes renormalized energy-momentum tensor in Vaidya-AdS.