22 papers
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 spatial…
Quantitative description of cognitive fatigue in repetitive monotonous tasks
Shahar Hod
There is strong qualitative empirical evidence in the scientific literature that, due to cognitive fatigue, workers performing repetitive and monotonous tasks are characterized by…
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…
Long-lived resonances of massive scalar fields in the Reissner-Nordström black-hole spacetime: Analytic treatment in the large-mass regime
Shahar Hod
The physical and mathematical properties of the composed Reissner-Nordström-black-hole-massive-scalar-field system are studied {\it analytically} in the dimensionless large-mass $…