A Simplified Mathematical Model for the Formation of Null Singularities Inside Black Holes I - Basic Formulation and a Conjecture

Simple item page
dc.creatorOri, Amos
dc.creatorGorbonos, Dan
dc.date2006-12-21
dc.date2007-04-21
dc.date.accessioned2026-07-07T11:21:37Z
dc.date.available2026-07-07T11:21:37Z
dc.descriptionEinstein's equations are known to lead to the formation of black holes and spacetime singularities. This appears to be a manifestation of the mathematical phenomenon of finite-time blowup: a formation of singularities from regular initial data. We present a simple hyperbolic system of two semi-linear equations inspired by the Einstein equations. We explore a class of solutions to this system which are analogous to static black-hole models. These solutions exhibit a black-hole structure with a finite-time blowup on a characteristic line mimicking the null inner horizon of spinning or charged black holes. We conjecture that this behavior - namely black-hole formation with blow-up on a characteristic line - is a generic feature of our semi-linear system. Our simple system may provide insight into the formation of null singularities inside spinning or charged black holes in the full system of Einstein equations.
dc.description39 pages, 3 figures, extended version
dc.identifierhttps://arxiv.org/abs/gr-qc/0612136
dc.identifierhttp://arxiv.org/abs/gr-qc/0612136
dc.identifierJ.Math.Phys.48:092502,2007
dc.identifierdoi:10.1063/1.2779950
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194317
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA Simplified Mathematical Model for the Formation of Null Singularities Inside Black Holes I - Basic Formulation and a Conjecture
dc.typetext

Files

Collections

arXiv