A Solution to Einstein's Equations for the Mixmaster Universe in Complex General Relativity
| Autor: | Leandro Meléndez, Pablo Chauvet |
|---|---|
| Rok vydání: | 2003 |
| Předmět: |
Physics
Mathematics of general relativity Numerical relativity Theory of relativity Classical mechanics Physics and Astronomy (miscellaneous) General relativity Introduction to the mathematics of general relativity Special relativity (alternative formulations) Theoretical motivation for general relativity Mixmaster universe Mathematical physics |
| Zdroj: | General Relativity and Gravitation. 35:2007-2015 |
| ISSN: | 1572-9532 0001-7701 |
| Popis: | Starting from Einstein's equations of the Classical General Relativity, new kinds of solutions for the Mixmaster model are explored. By dispensing with the extension to the complex variable field, which is usual in problems such as the Laplace equation or the harmonic oscillator, in a similar manner to that of Quantum Mechanics, the equations appear to have solutions that belong to the complex General Relativity. A first integral is performed by establishing a separation of the first derivatives. Then a second integral is obtained once the respective equations with separate variables are found and whose integrals provide a family of complex solutions. However, reality conditions do not seem to be easily imposed at this stage. Above all, it is significant that the classical Einstein's equations for the debatably integrable Mixmaster model present complex solutions. |
| Databáze: | OpenAIRE |
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