Einsteinian gravity from a topological action

Details Einsteinian gravity from a topological action Einsteinian gravity from a topological action

Jun 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008gregr..40.1311m&link_type=abstract

General Relativity and Gravitation, Volume 40, Issue 6, pp.1311-1325

Mathematics

Logic

2

Topological Gravity, Double Duality, Brst Quantization, Einsteinian Background

Scientific paper

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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