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arXiv · 0707.3466

Einsteinian gravity from a topological action

Eckehard W. Mielke
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Abstract

The curvature-squared model of gravity, in the affine form proposed by Weyl and Yang, is deduced from a topological action in 4D. More specifically, we start from the Pontrjagin (or Euler) invariant. Using the BRST antifield formalism with a double duality gauge fixing, we obtain a consistent quantization in spaces of double dual curvature as classical instanton type background. However, exact vacuum solutions with double duality properties exhibit a `vacuum degeneracy'. By modifying the duality via a scale breaking term, we demonstrate that only Einstein's equations with an induced cosmological constant emerge for the topology of the macroscopic background. This may have repercussions on the problem of `dark energy' as well as `dark matter' modeled by a torsion induced quintaxion.

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Eckehard W. Mielke. 2007-09-10. Einsteinian gravity from a topological action. https://doi.org/10.1103/physrevd.77.084020%2010.1103%2Fphysrevd.77.109902

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