dorsal/arxiv
View SchemaOn equation of geodesic deviation and its solutions
| Authors | V. S. Dryuma, B. G. Konopelchenko |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9705003 |
| URL | https://arxiv.org/abs/solv-int/9705003 |
| Journal | Bulletin of Moldavian Academy of Sciences, ser. math. N3, (1996) 31-48 |
Abstract
Equations of geodesic deviation for the 3-dimensional and 4-dimensional Riemann spaces are discussed. Availability of wide classes of exact solutions of such equations, due to recent results for the matrix Schr\"odinger equation, is demonstrated. Particular classes of exact solutions for the geodesic deviation equation as well as for the Raychaudhuri and generalized Raychaudhuri equation are presented. Solutions of geodesic deviation equation for the Schwarzshild and Kasner metrics are found.
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"abstract": "Equations of geodesic deviation for the 3-dimensional and 4-dimensional\nRiemann spaces are discussed. Availability of wide classes of exact solutions\nof such equations, due to recent results for the matrix Schr\\\"odinger equation,\nis demonstrated. Particular classes of exact solutions for the geodesic\ndeviation equation as well as for the Raychaudhuri and generalized Raychaudhuri\nequation are presented. Solutions of geodesic deviation equation for the\nSchwarzshild and Kasner metrics are found.",
"arxiv_id": "solv-int/9705003",
"authors": [
"V. S. Dryuma",
"B. G. Konopelchenko"
],
"categories": [
"solv-int",
"nlin.SI"
],
"journal_ref": "Bulletin of Moldavian Academy of Sciences, ser. math. N3, (1996)\n 31-48",
"title": "On equation of geodesic deviation and its solutions",
"url": "https://arxiv.org/abs/solv-int/9705003"
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