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Double duality and hidden gauge freedom in the poincaré gauge theory of gravitation
Authors:Vadim V Zhytnikov
Institution:(1) Department of Physics, National Central University, Chung-Li, Taiwan 32054, Republic of China;(2) Present address: Physics Department, Faculty of Mathematics, Moscow State Pedagogical University, Davydovskii per. 4, 107140 Moscow, Russia
Abstract:We investigate the double duality ansatz of the Poincaré gauge theory of gravitation. It is shown that many known exact solutions belong, as special cases, to larger families of solutions. These families of solutions include several arbitrary functions and can be generated by a transformation which is a Lorentzian rotation of the connection with fixed tetrad. Several new spherically symmetric and wavelike exact solution are presented.
Keywords:
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