MG14 - Talk detail

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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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Brief discussion on the debate with Green and Wald regarding the influence of the density inhomogeneities on the large scale dynamics will be presented

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