Born-Infeld extension of new massive gravity

Gullu, Ibrahim
Sisman, Tahsin Cagri
Tekin, Bayram
We present a three-dimensional gravitational Born-Infeld theory which reduces to the recently found new massive gravity (NMG) at the quadratic level in the small curvature expansion and at the cubic order reproduces the deformation of NMG obtained from AdS/CFT. Our action provides a remarkable extension of NMG to all orders in the curvature and might define a consistent quantum gravity.


Mass and angular momentum of asymptotically AdS or flat solutions in the topologically massive gravity
Olmez, S; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (IOP Publishing, 2005-10-21)
We study the conserved charges of supersymmetric solutions in the topologically massive gravity theory for both asymptotically flat and constant curvature geometries.
Energy in topologically massive gravity
Deser, S; Tekin, Bayram (IOP Publishing, 2003-11-07)
We define conserved gravitational charges in cosmologically extended topologically massive gravity, exhibit them in surface integral form about their de Sitter or flat vacua and verify their correctness in terms of two basic types of solution.
All unitary cubic curvature gravities in D dimensions
Sisman, Tahsin Cagri; Gullu, Ibrahim; Tekin, Bayram (IOP Publishing, 2011-10-07)
We construct all the unitary cubic curvature gravity theories built on the contractions of the Riemann tensor in D-dimensional (anti)-de Sitter spacetimes. Our construction is based on finding the equivalent quadratic action for the general cubic curvature theory and imposing ghost and tachyon freedom, which greatly simplifies the highly complicated problem of finding the propagator of cubic curvature theories in constant curvature backgrounds. To carry out the procedure we have also classified all the unit...
Radiation in Yang-Mills Formulation of Gravity and a Generalized pp-Wave Metric
Başkal, Sibel (Oxford University Press (OUP), 1999-10-1)
Variational methods applied to a quadratic Yang-Mills-type Lagrangian yield two sets of relations interpreted as the field equations and the energy-momentum tensor for the gravitational field. A covariant condition is imposed on the energy-momentum tensor in order for it to represent the radiation field. A generalized pp-wave metric is found to simultaneously satisfy both the field equations and the radiation condition. The result is compared with that of Lichnerowicz.
Symmetric Surface Momentum and Centripetal Force for a Particle on a Curved Surface
Shikakhwa, M. S. (IOP Publishing, 2018-09-01)
The Hermitian surface momentum operator for a particle confined to a 2D curved surface spanned by orthogonal coordinates and embedded in 3D space is expressed as a symmetric expression in derivatives with respect to the surface coordinates and so is manifestly along the surface. This is an alternative form to the one reported in the literature and usually named geometric momentum, which has a term proportional to the mean curvature along the direction normal to the surface, and so "apparently" not along the...
Citation Formats
I. Gullu, T. C. Sisman, and B. Tekin, “Born-Infeld extension of new massive gravity,” CLASSICAL AND QUANTUM GRAVITY, pp. 0–0, 2010, Accessed: 00, 2020. [Online]. Available: