A note on the Plebanski action with cosmological constant and an Immirzi parameter

Details A note on the Plebanski action with cosmological constant and an Immirzi parameter A note on the Plebanski action with cosmological constant and an Immirzi parameter

2009-08-24

arxiv.org/abs/0908.3388v2

Phys.Rev.D81:024032,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages. v2: factor 2 corrected, updated references

Scientific paper

10.1103/PhysRevD.81.024032

We study the field equations of the Plebanski action for general relativity when both the cosmological constant and an Immirzi parameter are present. We show that the Lagrange multiplier, which usually gets identified with the Weyl curvature, now acquires a trace part. Some consequences of this for a class of modified gravity theories recently proposed in the literature are briefly discussed.

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