LETTER TO THE EDITOR: On (2 + 1)-dimensional Friedmann Robertson Walker universes: an Ermakov Pinney equation approach

Details LETTER TO THE EDITOR: On (2 + 1)-dimensional Friedmann Robertson Walker universes: an Ermakov Pinney equation approach LETTER TO THE EDITOR: On (2 + 1)-dimensional Friedmann Robertson Walker universes: an Ermakov Pinney equation approach

Jul 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cqgra..20l.177w&link_type=abstract

Classical and Quantum Gravity, Volume 20, Issue 13, pp. L177-L184 (2003).

Mathematics

Logic

12

Scientific paper

In this letter, we examine the reduction of Friedmann Robertson Walker-type models in 2 + 1 dimensions, to an Ermakov Pinney equation. The procedure is used to derive previously known solutions for some specific cosmological models. It is also examined as an inverse problem, wherein the scale factor of the metric or the scalar field coupled to it are postulated and the remaining 'data' of the problem (such as e.g., the scalar field potential) are reconstructed systematically via the Ermakov Pinney approach. This alternative approach allows us to construct novel solutions for a number of different scalar potentials.

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