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

A black hole is a spacetime region in whose interior lies a structure known as a spacetime 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 bound...

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Autor principal:	Aranda,Carlos Cesar
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
Materias:	Black hole spacetime singularity quantum field theory Newtonian potentials elliptic equations compact imbedding Sobolev’s spaces
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200007
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spelling	oai:scielo:S0719-064620150002000072018-10-08Spacetime singularity, singular bounds and compactness for solutions of the Poisson's equationAranda,Carlos Cesar Black hole spacetime singularity quantum field theory Newtonian potentials elliptic equations compact imbedding Sobolev’s spaces A black hole is a spacetime region in whose interior lies a structure known as a spacetime 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.17 n.2 20152015-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200007en10.4067/S0719-06462015000200007
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Black hole spacetime singularity quantum field theory Newtonian potentials elliptic equations compact imbedding Sobolev’s spaces
spellingShingle	Black hole spacetime singularity quantum field theory Newtonian potentials elliptic equations compact imbedding Sobolev’s spaces Aranda,Carlos Cesar Spacetime singularity, singular bounds and compactness for solutions of the Poisson's equation
description	A black hole is a spacetime region in whose interior lies a structure known as a spacetime 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.
author	Aranda,Carlos Cesar
author_facet	Aranda,Carlos Cesar
author_sort	Aranda,Carlos Cesar
title	Spacetime singularity, singular bounds and compactness for solutions of the Poisson's equation
title_short	Spacetime singularity, singular bounds and compactness for solutions of the Poisson's equation
title_full	Spacetime singularity, singular bounds and compactness for solutions of the Poisson's equation
title_fullStr	Spacetime singularity, singular bounds and compactness for solutions of the Poisson's equation
title_full_unstemmed	Spacetime singularity, singular bounds and compactness for solutions of the Poisson's equation
title_sort	spacetime singularity, singular bounds and compactness for solutions of the poisson's equation
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200007
work_keys_str_mv	AT arandacarloscesar spacetimesingularitysingularboundsandcompactnessforsolutionsofthepoissonsequation
_version_	1714206793429680128

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

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