For any number n of aligned black holes the axis potentials are necessarily rational functions depending on a finite number of parameters.
Extremal black hole formation as a critical phenomenon.Preprint, arXiv:2402.10190,
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Numerical solutions reveal that the threshold of black hole formation in charged Vlasov matter shifts from stationary horizonless shells to extremal black holes past a critical charge-to-mass ratio of unity.
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.
citing papers explorer
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The balance problem for $n$ aligned black holes
For any number n of aligned black holes the axis potentials are necessarily rational functions depending on a finite number of parameters.
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Gravitational collapse in the vicinity of the extremal black hole critical point
Numerical solutions reveal that the threshold of black hole formation in charged Vlasov matter shifts from stationary horizonless shells to extremal black holes past a critical charge-to-mass ratio of unity.
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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.
- Nonlinear stability of subextremal Kerr black holes