151 citations · 317 across the 11 of their papers we have counts for
11 papers
Noncommutative gauge theory using covariant star product defined between Lie-valued differential forms
M. Chaichian, M. Oksanen, A. Tureanu +1
We develop an internal gauge theory using a covariant star product. The space-time is a symplectic manifold endowed only with torsion but no curvature. It is shown that, in order t…
Covariant star product on symplectic and Poisson spacetime manifolds
M. Chaichian, M. Oksanen, A. Tureanu +1
A covariant Poisson bracket and an associated covariant star product in the sense of deformation quantization are defined on the algebra of tensor-valued differential forms on a sy…
Gauge field theories with covariant star-product
M. Chaichian, A. Tureanu, G. Zet
A noncommutative gauge theory is developed using a covariant star-product between differential forms defined on a symplectic manifold, considered as the space-time. It is proven th…
Gauging the twisted Poincare symmetry as noncommutative theory of gravitation
M. Chaichian, M. Oksanen, A. Tureanu +1
Einstein's Theory of General Relativity was formulated as a gauge theory of Lorentz symmetry by Utiyama in 1956, while the Einstein-Cartan gravitational theory was formulated by Ki…
On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity
M. Chaichian, M. R. Setare, A. Tureanu +1
Deformed Reissner-Nordström, as well as Reissner-Nordström de Sitter, solutions are obtained in a noncommutative gauge theory of gravitation. The gauge potentials (tetrad fields) a…
Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
M. Chaichian, A. Tureanu, G. Zet
A deformed Schwarzschild solution in noncommutative gauge theory of gravitation is obtained. The gauge potentials (tetrad fields) are determined up to the second order in the nonco…