Simplified mathematical model for the formation of null singularities inside black holes. I. Basic formulation and a conjecture

A Ori, D Gorbonos - Journal of mathematical physics, 2007 - pubs.aip.org
… We conjecture that this behavior—namely, black-hole formation with … Our simple system
may provide insight into the formation of null singularities inside spinning or charged black holes

Simplified mathematical model for the formation of null singularities inside black holes. II. Proof for a particular case

D Gorbonos, G Wolansky - Journal of mathematical physics, 2007 - pubs.aip.org
… to known features of models of black-hole interiors—which describe the … simple system
may provide insight into the formation of null singularities inside spinning or charged black holes

[PDF][PDF] A simplified mathematical model for the formation of null singularities inside black holes I

A Ori, D Gorbonos - arXiv preprint gr-qc/0612136, 2006 - core.ac.uk
… We conjecture that this behavior — namely black-hole formation with … simple system may
provide insight into the formation of null singularities inside spinning or charged black holes in …

Black holes, star clusters, and naked singularities: numerical solution of Einstein's equations

SL Shapiro, SA Teukolsky - Philosophical Transactions of …, 1992 - royalsocietypublishing.org
null geodesics turn around near the singularity. For collapse from large radius, by contrast
(figure 12), outward null … away from the vicinity of the singularity up to the time our integrations …

The breakdown of weak null singularities inside black holes

M Van de Moortel - arXiv preprint arXiv:1912.10890, 2019 - arxiv.org
… settling down to Reissner–Nordström in spherical symmetry, as proven in [15, 38]; at the
heuristic level, this phenomenon is explained by the repulsive mechanism provided by the …

Effective models of nonsingular quantum black holes

M Cadoni, M Oi, AP Sanna - Physical Review D, 2022 - APS
… of the singularity problem for the Schwarzschild black hole could be … , when the metric takes
the simple AdS2 × S 2 form, we … , we start from the geodesic equation together with the null-…

Black-Hole singularity and its possible mitigations: Reformulation of Penrose's singularity theorem using null Raychaudhuri matrix

M Chakraborty, S Chakraborty - Physics of the Dark Universe, 2024 - Elsevier
… The evolution of this matrix gives the matrix form of null … ’s singularity theorem on Black-Hole
and have commented on the characteristic of the Raychaudhuri matrix at the singularity. The …

[PDF][PDF] The mathematical analysis of black holes in general relativity

M Dafermos - Proceedings of the ICM, 2014 - dpmms.cam.ac.uk
explained in … null singularities in spherically symmetric toy models, one could still hold out
hope that the vacuum Einstein equations (2) do not allow for the formation of such singularities

[HTML][HTML] Singularities and black holes

E Curiel - 2009 - plato.stanford.edu
… , because the spacelike and null cases add yet another level … , and the status of mathematical
models of physical systems in … represent a simplified model of a system formed by ignoring …

Shadows of spherically symmetric black holes and naked singularities

R Shaikh, P Kocherlakota, R Narayan… - Monthly Notices of the …, 2019 - academic.oup.com
… non-radial null geodesics emanating from the singularity, they were … a simple accretion
model and compute images, which we use to examine how black holes and naked singularities