Higher Lovelock orders promote local visibility of central shell-focusing singularities in dust collapse by controlling the apparent horizon formation relative to the singularity curve.
Black hole boundaries
8 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
Classical black holes and event horizons are highly non-local objects, defined in relation to the causal past of future null infinity. Alternative, quasilocal characterizations of black holes are often used in mathematical, quantum, and numerical relativity. These include apparent, killing, trapping, isolated, dynamical, and slowly evolving horizons. All of these are closely associated with two-surfaces of zero outward null expansion. This paper reviews the traditional definition of black holes and provides an overview of some of the more recent work on alternative horizons.
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2026 8roles
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All integrable 2D Horndeski theories (and thus many regular black-hole metrics) arise as spherical reductions of pure d≥4 gravities, which the paper terms quasi-topological.
Causal sets can approximate black hole horizons via discrete timelike curves and ladders tracing null geodesics, with a discrete expansion changing sign across the horizon in a 1+1D toy model.
Numerical study of cusp formation on horizons in head-on non-spinning black hole mergers, with analysis of mass and multipole behavior at the cusp and a proposed phenomenological model.
An invariant function is derived whose zeros identify spherical photon orbits in Kerr spacetime, parameterized by an inclination angle, enabling invariant characterization of the photon region and constants of motion.
Quasi-local dynamical horizons admit a first law for finite, far-from-equilibrium processes and a quantitative second law tying area growth to energy fluxes, so black-hole entropy is the area of marginally trapped surfaces.
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.
citing papers explorer
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Higher Lovelock Curvature Terms Favor Local Nakedness in Dust Collapse
Higher Lovelock orders promote local visibility of central shell-focusing singularities in dust collapse by controlling the apparent horizon formation relative to the singularity curve.
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All $2D$ generalised dilaton theories from $d\geq 4$ gravities
All integrable 2D Horndeski theories (and thus many regular black-hole metrics) arise as spherical reductions of pure d≥4 gravities, which the paper terms quasi-topological.
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Towards black-hole horizons and geodesic focusing in causal sets
Causal sets can approximate black hole horizons via discrete timelike curves and ladders tracing null geodesics, with a discrete expansion changing sign across the horizon in a 1+1D toy model.
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Cusp Formation in Merging Black Hole Horizons
Numerical study of cusp formation on horizons in head-on non-spinning black hole mergers, with analysis of mass and multipole behavior at the cusp and a proposed phenomenological model.
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A Complete Invariant Analysis of the Kerr Spacetime and its Photon Region
An invariant function is derived whose zeros identify spherical photon orbits in Kerr spacetime, parameterized by an inclination angle, enabling invariant characterization of the photon region and constants of motion.
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Thermodynamics of dynamical black holes beyond perturbation theory
Quasi-local dynamical horizons admit a first law for finite, far-from-equilibrium processes and a quantitative second law tying area growth to energy fluxes, so black-hole entropy is the area of marginally trapped surfaces.
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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.
- Primordial Black Holes: A Review of Formation and Evolution