New improved massive gravity
Department of Physics, Koç University - 34450 Sariyer, Istanbul, Turkey
Received: 15 April 2016
Accepted: 20 June 2016
We derive the field equations for topologically massive gravity coupled with the most general quadratic curvature terms using the language of exterior differential forms and a first-order constrained variational principle. We find variational field equations both in the presence and absence of torsion. We then show that spaces of constant negative curvature (i.e. the anti de-Sitter space AdS3) and constant torsion provide exact solutions.
PACS: 04.60.Rt – Topologically massive gravity / 04.60.Kz – Lower dimensional models; minisuperspace models / 04.20.Fy – Canonical formalism, Lagrangians, and variational principles
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