Covariant symplectic structure and conserved charges of topologically massive gravity

Nazaroglu, Caner
Nutku, Yavuz
Tekin, Bayram
We present the covariant symplectic structure of the Topologically Massive Gravity and find a compact expression for the conserved charges of generic spacetimes with Killing symmetries.


Noncommutative nonlinear sigma models and integrability
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We first review the result that the noncommutative principal chiral model has an infinite tower of conserved currents and discuss the special case of the noncommutative CP1 model in some detail. Next, we focus our attention to a submodel of the CP1 model in the noncommutative spacetime A(theta)(R2+1). By extending a generalized zero-curvature representation to A(theta)(R2+1) we discuss its integrability and construct its infinitely many conserved currents. A supersymmetric principal chiral model with and wi...
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Thermodynamics of Lifshitz black holes
Devecioglu, Deniz Olgu; Sarıoğlu, Bahtiyar Özgür (American Physical Society (APS), 2011-06-23)
We apply the recently extended conserved Killing charge definition of Abbott-Deser-Tekin formalism to compute, for the first time, the energies of analytic Lifshitz black holes in higher dimensions. We then calculate the temperature and the entropy of this large family of solutions, and study and discuss the first law of black hole thermodynamics. Along the way we also identify the possible critical points of the relevant quadratic curvature gravity theories. Separately, we also apply the generalized Killin...
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New massive gravity provides a nonlinear extension of the Fierz-Pauli mass for gravitons in 2 + 1 dimensions. Here we construct a Weyl-invariant version of this theory. When the Weyl symmetry is broken, the graviton gets a mass in analogy with the Higgs mechanism. In (anti)-de Sitter backgrounds, the symmetry can be broken spontaneously, but in flat backgrounds radiative corrections, at the two-loop level, break the Weyl symmetry a la Coleman-Weinberg mechanism. We also construct the Weyl-invariant extensio...
Gravitational charges of transverse asymptotically AdS spacetimes
Cebeci, Hakan; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (American Physical Society (APS), 2006-12-01)
Using Killing-Yano symmetries, we construct conserved charges of spacetimes that asymptotically approach to the flat or anti-de Sitter spaces only in certain directions. In D dimensions, this allows one to define gravitational charges (such as mass and angular momenta densities) of p-dimensional branes/solitons or any other extended objects that curve the transverse space into an asymptotically flat or AdS one. Our construction answers the question of what kind of charges the antisymmetric Killing-Yano tens...
Citation Formats
C. Nazaroglu, Y. Nutku, and B. Tekin, “Covariant symplectic structure and conserved charges of topologically massive gravity,” PHYSICAL REVIEW D, pp. 0–0, 2011, Accessed: 00, 2020. [Online]. Available: