Noncommutative two-dimensional gravities

GUPTA, Kumar S.
Kürkcüoğlu, Seçkin
We give formulations of noncommutative two-dimensional gravities in terms of noncommutative gauge theories. We survey their classical solutions and show that solutions of the corresponding commutative theories continue to be solutions in the noncommutative theories as well. We argue that the existence of 'twisted' diffeomorphisms, recently introduced in Aschieri et al ( 2005 Class. Quantum Grav. 22 3511), is crucial for this conclusion.


Non-Riemannian gravity and the Einstein-Proca system
Dereli, T; Onder, M; Schray, J; Tucker, RW; Wang, C (IOP Publishing, 1996-08-01)
We argue that all Einstein-Maxwell or Einstein-Proca solutions to general relativity may be used to construct a large class of solutions (involving torsion and non-metricity) to theories of non-Riemannian gravitation that have been recently discussed in the literature.
Superstatistics of Modified Rosen-Morse Potential with Dirac Delta and Uniform Distributions
Okorie, U. S.; Ikot, A. N.; Rampho, G. J.; Sever, Ramazan (IOP Publishing, 2019-10-01)
We discuss the thermodynamic properties of a modified Rosen-Morse potential using the q-deformed superstatistics approaches. We obtain the partition function with the help of the generalized Boltzmann factor from the modified Dirac delta distribution and uniform distribution. Other thermodynamic function is obtained for the superstatistics of the two distributions considered. We also discuss our results graphically and obtain the ordinary statistical quantities when the deformation parameter tends to zero.
Classical double copy: Kerr-Schild-Kundt metrics from Yang-Mills theory
GÜRSES, METİN; Tekin, Bayram (American Physical Society (APS), 2018-12-28)
The classical double copy idea relates some solutions of Einstein's theory with those of gauge and scalar field theories. We study the Kerr-Schild-Kundt (KSK) class of metrics in d dimensions in the context of possible new examples of this idea. We first show that it is possible to solve the Einstein-Yang-Mills system exactly using the solutions of a Klein-Gordon-type scalar equation when the metric is the pp-wave metric, which is the simplest member of the KSK class. In the more general KSK class, the solu...
Magnetic moment of the rho meson in QCD light cone sum rules
Alıyev, Tahmasıb; Savcı, Mustafa (American Physical Society (APS), 2003-09-01)
The magnetic moment mu of the rho meson is studied in QCD light cone sum rules, and it is found that mu=(2.3+/-0.5), in units of e/2m(rho). A comparison of our result on the magnetic moment of the rho meson with the predictions of the other approaches is presented.
DERELI, T; TUCKER, RW (IOP Publishing, 1994-10-01)
We discuss how theories of dilaton gravity can be constructed in terms of a torsionfree but non-metric-compatible connection and explore the nature of connection-induced dilaton couplings to gravity when the theory is reformulated in terms of the Levi-Civita connection. Exact classical solutions are presented in the context of a string-inspired dilaton model in two dimensions.
Citation Formats
A. P. BALACHANDRAN, T. R. GOVINDARAJAN, K. S. GUPTA, and S. Kürkcüoğlu, “Noncommutative two-dimensional gravities,” CLASSICAL AND QUANTUM GRAVITY, pp. 5799–5810, 2006, Accessed: 00, 2020. [Online]. Available: