Inflation, bifurcations of nonlinear curvature Lagrangians and dark energy

@article{Mielke2007InflationBO,
  title={Inflation, bifurcations of nonlinear curvature Lagrangians and dark energy},
  author={Eckehard W. Mielke and Fjodor V. Kusmartsev and Franz E. Schunck},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2007}
}
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… 
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