Dark matter problem and effective curvature Lagrangians

Franz E. Schunck, Fjodor V. Kusmartsev, Eckehard W. Mielke

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


A 'radical' conservative unifying model of scalar dark matter and modified gravity is proposed here. 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 gravitational strength and cosmological constant. A swallow tail or butterfly catastrophe in the bifurcation set indicates the possibility for the coexistence of different Einsteinian domains in our Universe. This finding 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.

Original languageBritish English
Pages (from-to)1427-1433
Number of pages7
JournalGeneral Relativity and Gravitation
Issue number8
StatePublished - Aug 2005


  • Cosmology
  • Effective cosmological constant
  • Fourth-order gravity


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