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New improved massive gravity and three-dimensional spacetimes of constant curvature and constant torsion

Tekin Dereli* and Cem Yetişmişoğlu†

  • Department of Physics, Koç University, Sarıyer, İstanbul 34450, Turkey

  • *tdereli@ku.edu.edu
  • †cyetismisoglu@ku.edu.tr
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Phys. Rev. D 94, 064067 – Published 23 September, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.064067

Abstract

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.

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Phys. Rev. D 94, 064067– Published 23 September, 2016
  • Received 20 June 2016

© 2016 American Physical Society

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