Born-Infeld-Horava gravity

Gullu, Ibrahim
Sisman, Tahsin Cagri
Tekin, Bayram
We define various Born-Infeld gravity theories in 3 + 1 dimensions which reduce to Horava's model at the quadratic level in small curvature expansion. In their exact forms, our actions provide z -> infinity extensions of Horava's gravity, but when small curvature expansion is used, they reproduce finite z models, including some half-integer ones.


All bulk and boundary unitary cubic curvature theories in three dimensions
Gullu, Ibrahim; Sisman, Tahsin Cagri; Tekin, Bayram (American Physical Society (APS), 2011-01-26)
We construct all the bulk and boundary unitary cubic curvature parity invariant gravity theories in three dimensions in (anti)-de Sitter spaces. For bulk unitarity, our construction is based on the principle that the free theory of the cubic curvature theory reduces to one of the three known unitary theories which are the cosmological Einstein-Hilbert theory, the quadratic theory of the scalar curvature, or the new massive gravity (NMG). Bulk and boundary unitarity in NMG is in conflict; therefore, cubic th...
c-functions in the Born-Infeld extended new massive gravity
Gullu, Ibrahim; Sisman, Tahsin Cagri; Tekin, Bayram (American Physical Society (APS), 2010-07-27)
We derive and study the equations of motion of the Born-Infeld extension of new massive gravity for globally and asymptotically (anti-) de Sitter spaces, and show that the assumptions of the null-energy condition and holography (that bounds the c-function) lead to two simple c-functions, one of which is equivalent to the c-function of Einstein's gravity. We also show that, at the fixed point, the c-function gives the central charge of the Virasoro algebra and the coefficient of the Weyl anomaly up to a cons...
AdS waves as exact solutions to quadratic gravity
Gullu, Ibrahim; GÜRSES, METİN; Sisman, Tahsin Cagri; Tekin, Bayram (American Physical Society (APS), 2011-04-08)
We give an exact solution of the quadratic gravity in D dimensions. The solution is a plane-fronted wave metric with a cosmological constant. This metric solves not only the full quadratic gravity field equations but also the linearized ones which include the linearized equations of the recently found critical gravity. A subset of the solutions change the asymptotic structure of the anti-de Sitter space due to their logarithmic behavior.
Canonical structure of higher derivative gravity in 3D
Gullu, Ibrahim; Sisman, Tahsin Cagri; Tekin, Bayram (American Physical Society (APS), 2010-05-15)
We give an explicitly gauge-invariant canonical analysis of linearized quadratic gravity theories in three dimensions for both flat and de Sitter backgrounds. In flat backgrounds, we also study the effects of the gravitational Chern-Simons term, include the sources, and compute the weak field limit as well as scattering between spinning massive particles.
Axi-dilaton gravity in D >= 4 dimensional space-times with torsion
Cebeci, H; Dereli, T (American Physical Society (APS), 2005-01-01)
We study models of axi-dilaton gravity in space-time geometries with torsion. We discuss conformal rescaling rules in both Riemannian and non-Riemannian formulations. We give static, spherically symmetric solutions and examine their singularity behavior.
Citation Formats
I. Gullu, T. C. Sisman, and B. Tekin, “Born-Infeld-Horava gravity,” PHYSICAL REVIEW D, pp. 0–0, 2010, Accessed: 00, 2020. [Online]. Available: