DE3 - Large Scale Structure and Statistics |
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Speaker |
Ostrowski, Jan |
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Coauthors |
Buchert, Thomas; Roukema, Boudewijn F. |
| Talk Title |
On the relativistic Zel'dovich approximation and averaging problem in cosmology |
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Abstract |
The relativistic analogue of the widely used Zel'dovich approximation that has been developed by Buchert et al is potentially a very powerful tool for investigating large scale structure formation in the language of general relativity. Expressing the Einstein equation in a synchronous gauge with only one variable object - the Cartan coframe - allows us to construct a relativistic analogy of the classical Zel'dovich approximation by choosing a specific, perturbative form of the geodesic followed by a fluid element. This assumed form of the Cartan coframe is then put into the Einstein equations, and without any further truncations or linearizations, is used to recover non-linear aspects of structure formation with a very small set of assumptions. In particular, the Relativistic Zel'dovich Approximation (RZA) can serve as a closure condition for generalized Friedman equations, provided that a suitable choice of background model has been made. Some applications to cosmological mass function theory will be presented. |
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