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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The authors derive non-perturbative first and second laws for dynamical black holes, identifying entropy with the area of local marginally trapped surfaces rather than the global event horizon.
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.
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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Thermodynamics of dynamical black holes beyond perturbation theory
The authors derive non-perturbative first and second laws for dynamical black holes, identifying entropy with the area of local marginally trapped surfaces rather than the global event horizon.
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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.