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From 2-dimensional surfaces to cosmological solutions

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Abstract

We construct perfect fluid metrics with two symmetries by means of a recently developed geometrical method [1]. The Einstein equations are reduced to a single equation for a conformal factor. Under additional assumptions we obtain new cosmological solutions of Bianchi type II, VI 0 and VII 0 . The solutions depend on an arbitrary function of time, which can be specified in order to satisfy an equation of state.

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Authors and Affiliations

  1. Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681, Warsaw, Poland

    A. Szereszewski & J. Tafel

Authors
  1. A. Szereszewski
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  2. J. Tafel
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Correspondence to A. Szereszewski.

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Szereszewski, A., Tafel, J. From 2-dimensional surfaces to cosmological solutions. Gen Relativ Gravit 37, 257–269 (2005). https://doi.org/10.1007/s10714-005-0016-0

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  • DOI: https://doi.org/10.1007/s10714-005-0016-0

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