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Spacetime singularity, singular bounds and compactness for solutions of the Poisson’s equation

dc.creatorAranda, Carlos Cesar
dc.date2015-06-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1182
dc.identifier10.4067/S0719-06462015000200007
dc.descriptionA black hole is a spacetime region in whose interior lies a structure known as a space-time singularity whose scientific description is profoundly elusive, and which depends upon the still missing theory of quantum gravity. Using the classical weak comparison principle we are able to obtain new bounds, compactness results and concentration phenomena in the theory of Newtonian potentials of distributions with compact support which gives a suitable mathematical theory of spacetime singularity. We derive a rigorous renormalization of the Newtonian gravity law using nonlinear functional analysis and we have a solid set of astronomical observations supporting our new equation. This general setting introduces a new kind of ill posed problem with a very simple physical interpretation.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1182/1040
dc.sourceCUBO, A Mathematical Journal; Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal; 97-122en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 17 Núm. 2 (2015): CUBO, A Mathematical Journal; 97-122es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectBlack holeen-US
dc.subjectspacetime singularityen-US
dc.subjectquantum field theoryen-US
dc.subjectNewtonian potentialsen-US
dc.subjectelliptic equationsen-US
dc.subjectcompact imbeddingen-US
dc.subjectSobolev’s spacesen-US
dc.titleSpacetime singularity, singular bounds and compactness for solutions of the Poisson’s equationen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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