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A Note on the Relationship Between Solutions of Einstein, Ramanujan and Chazy Equations

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dc.contributor.author Esmakhanova, K.,
dc.contributor.author Myrzakulov, Y.,
dc.contributor.author Nugmanova, G.,
dc.contributor.author Myrzakulov, R.
dc.date.accessioned 2012-07-02T11:18:48Z
dc.date.available 2012-07-02T11:18:48Z
dc.date.issued 2012-07-02
dc.identifier.uri http://dspace.enu.kz/handle/data/1465
dc.description.abstract The Einstein equation for the Friedmann-Robertson-Walker metric plays a fundamental role in cosmology. The direct search of the exact solutions of the Einstein equation even in this simple metric case is sometime a hard job. Therefore, it is useful to construct solutions of the Einstein equation using a known solutions of some other equations which are equivalent or related to the Einstein equation. In this work, we establish the relationship the Einstein equation with two other famous equations namely the Ramanujan equation and the Chazy equation. Both these two equations play an imporatant role in the number theory. Using the known solutions of the Ramanujan and Chazy equations, we find the corresponding solutions of the Einstein equation. The relation between the Friedmann equation and the equations of the trefoil knot and figure-eight knot is established. en_US
dc.language.iso en en_US
dc.title A Note on the Relationship Between Solutions of Einstein, Ramanujan and Chazy Equations en_US


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