The Geometry of Black Hole Singularities
Recent results show that important singularities in General Relativity can be naturally described in terms of finite and invariant canonical geometric objects. Consequently, one can write field equations which are equivalent to Einstein's at nonsingular points but, in addition remain well-defin...
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Online Access: | http://dx.doi.org/10.1155/2014/907518 |
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doaj-087ccba5f54b4d3cb143017c41ccedcd2020-11-24T23:05:01ZengHindawi LimitedAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/907518907518The Geometry of Black Hole SingularitiesOvidiu Cristinel Stoica0Horia Hulubei National Institute for Physics and Nuclear Engineering, 077125 Bucharest, RomaniaRecent results show that important singularities in General Relativity can be naturally described in terms of finite and invariant canonical geometric objects. Consequently, one can write field equations which are equivalent to Einstein's at nonsingular points but, in addition remain well-defined and smooth at singularities. The black hole singularities appear to be less undesirable than it was thought, especially after we remove the part of the singularity due to the coordinate system. Black hole singularities are then compatible with global hyperbolicity and do not make the evolution equations break down, when these are expressed in terms of the appropriate variables. The charged black holes turn out to have smooth potential and electromagnetic fields in the new atlas. Classical charged particles can be modeled, in General Relativity, as charged black hole solutions. Since black hole singularities are accompanied by dimensional reduction, this should affect Feynman's path integrals. Therefore, it is expected that singularities induce dimensional reduction effects in Quantum Gravity. These dimensional reduction effects are very similar to those postulated in some approaches to make Quantum Gravity perturbatively renormalizable. This may provide a way to test indirectly the effects of singularities, otherwise inaccessible.http://dx.doi.org/10.1155/2014/907518 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ovidiu Cristinel Stoica |
spellingShingle |
Ovidiu Cristinel Stoica The Geometry of Black Hole Singularities Advances in High Energy Physics |
author_facet |
Ovidiu Cristinel Stoica |
author_sort |
Ovidiu Cristinel Stoica |
title |
The Geometry of Black Hole Singularities |
title_short |
The Geometry of Black Hole Singularities |
title_full |
The Geometry of Black Hole Singularities |
title_fullStr |
The Geometry of Black Hole Singularities |
title_full_unstemmed |
The Geometry of Black Hole Singularities |
title_sort |
geometry of black hole singularities |
publisher |
Hindawi Limited |
series |
Advances in High Energy Physics |
issn |
1687-7357 1687-7365 |
publishDate |
2014-01-01 |
description |
Recent results show that important singularities in General Relativity can be naturally described in terms of finite and invariant canonical geometric objects. Consequently, one can write field equations which are equivalent to Einstein's at nonsingular points but, in addition remain well-defined and smooth at singularities. The black hole singularities appear to be less undesirable than it was thought, especially after we remove the part of the singularity due to the coordinate system. Black hole singularities are then compatible with global hyperbolicity and do not make the evolution equations break down, when these are expressed in terms of the appropriate variables. The charged black holes turn out to have smooth potential and electromagnetic fields in the new atlas. Classical charged particles can be modeled, in General Relativity, as charged black hole solutions. Since black hole singularities are accompanied by dimensional reduction, this should affect Feynman's path integrals. Therefore, it is expected that singularities induce dimensional reduction effects in Quantum Gravity. These dimensional reduction effects are very similar to those postulated in some approaches to make Quantum Gravity perturbatively renormalizable. This may provide a way to test indirectly the effects of singularities, otherwise inaccessible. |
url |
http://dx.doi.org/10.1155/2014/907518 |
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AT ovidiucristinelstoica thegeometryofblackholesingularities AT ovidiucristinelstoica geometryofblackholesingularities |
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