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arXiv · 0704.1135

Inflation, bifurcations of nonlinear curvature Lagrangians and dark energy

Eckehard W. Mielke·Fjodor V. Kusmartsev·Franz E. Schunck
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Abstract

A possible equivalence of scalar dark matter, the inflaton, and modified gravity is analyzed. After a conformal mapping, the dependence of the effective Lagrangian on the curvature is not only singular but also bifurcates into several almost Einsteinian spaces, distinguished only by a different effective gravitational strength and cosmological constant. A swallow tail catastrophe in the bifurcation set indicates the possibility for the coexistence of different Einsteinian domains in our Universe. This `triple unification' may shed new light on the nature and large scale distribution not only of dark matter but also on `dark energy', regarded as an effective cosmological constant, and inflation.

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Eckehard W. Mielke, Fjodor V. Kusmartsev, Franz E. Schunck. 2007-04-09. Inflation, bifurcations of nonlinear curvature Lagrangians and dark energy. https://doi.org/10.1142/9789812834300_0039

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