Evolution of Weyl's Gauge Invariant Geometry under Ricci Flow
There is a classical fact conjectured by Albert Einstein, that the presence of matter causes the curvature of space-time. However, even a vacant space-time can have a non-zero Weyl's curvature. For instance, such a condition can be found near black holes and in the zones where gravitation waves...
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| Auteurs principaux: | , |
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| Langue: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2011
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| Accès en ligne: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300005 |
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| Résumé: | There is a classical fact conjectured by Albert Einstein, that the presence of matter causes the curvature of space-time. However, even a vacant space-time can have a non-zero Weyl's curvature. For instance, such a condition can be found near black holes and in the zones where gravitation waves radiate. Getting inspirations from such a fabulous classical fact, authors have attempted to describe the purely differential geometric behaviour of Weyl's-Gauge invariant conceptions concerning to 4-dimensional structured cosmos. Under the well known Ricci flow (R.F.) techniques, various Weylian configurations have been evolved as heat diffusion equations, which can pave the way for new consequences in relativity theory and cosmology. |
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