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The third law of black hole thermodynamics and the mass-to-charge ratio of scalar fields
Shahar Hod, Tsvi Piran
Kehle and Unger have recently shown that self-gravitating charged classical scalar fields can collapse to form extremal Reissner-Nordström (eRN) black holes in finite time, thus vi…
The third law of black hole thermodynamics: Quantum versus classical considerations
Shahar Hod, Tsvi Piran
Kehle and Unger have recently shown that, under suitable conditions, a massless charged classical scalar field can produce an extremal black hole in finite time. This result appear…
Upper bounds on the force function in spatially regular self-gravitating matter configurations
Shahar Hod
We use the non-linearly coupled Einstein-matter field equations to prove four theorems that bound from above the dimensionless force function in spatiall…
Dyonic black holes supporting nearly-black self-gravitating thin shells
Shahar Hod
It has recently been revealed that dyonic black-hole spacetimes of a quasitopological non-linear electrodynamic field theory may be characterized by discrete radial regions with th…
Lower bound on the radii of black-hole shadows
Shahar Hod
The non-linearly coupled Einstein-matter field equations predict the existence of shadows with well-defined boundaries around black holes. We prove that, in spherically symmetric h…
Comment on "Charged scalar field at future null infinity via nonlinear hyperboloidal evolution" [Phys. Rev. D {\bf 112}, 104053 (2025), arXiv:2506.15311]
Shahar Hod
The asymptotically decaying tails that characterize the late-time dynamics of collapsing self-gravitating charged massless scalar fields were studied three decades ago by Hod and P…