Einsteinian gravity from a topological action

Abstract

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.

Poincaré gauge theory of gravity: Friedman cosmology with even and odd parity modes: Analytic part

“…For strong gravity, mediated by the Lorentz connection Γ αβ , in our model we found spin 0 of both parities. This restriction to zero spin modes in due to our simple Lagrangian (64) in which only the scalar and pseudo-scalar pieces of the curvature were allowed. Straightforward generalizations are possible.…”

“…In the general context of the Ashtekar formalism or, more generally, of loop quantum gravity, compare Kiefer [55] and Rovelli [56], the V HMS -Lagrangian was taken up again by Holst [57], Freidel et al [58,59], Khriplovich et al [60], and Bojowald et al [61]; similar parity violating pieces were studied by Mukhopadhyaya et al [62,63], see also the related papers by Mielke [64,65].…”

Gravi-weak unification and multiple-point principle

“…), are determined by a parameter g uni of the GW unification and by the Higgs VEVs. 7 It is discussed that if this "Higgs" φ coming in the graviweak unification could be the Higgs of the Standard Model, then the idea that the vacuum value of φ could be, according to the MPP, an extra (second) minimum of the Higgs field effective potential, turns out not to be viable. Then other scalar "Higgs" field ϕ θ , giving the inflaton and the axion fields, has a Planck scale expectation value, and could have a better chance of being the scalar field unified with gravity.…”

Unification of gravity, gauge fields and Higgs bosons

“…The second term is the cosmological constant, Λ = 3 4 v 2 , consistent with (23). The third term -a modification to standard gravitation -is a Stephenson-Kilmister-Yang (SKY) term [19], related to a Gauss-Bonnet topological action. The fourth term is the kinetic action for the Higgs field.…”