Gravitational Wave in Lorentz Violating Gravity |
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Institution: | Institute of High Energy Physics and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences,Beijing 100049, China |
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Abstract: | By making use of the weak gravitational field approximation, we obtain a linearized solution of the gravitational vacuum field equation in an anisotropic spacetime. The plane-wave solution and dispersion relation of gravitational wave is presented explicitly. There is possibility that the speed of gravitational wave is larger than the speed of light and the casuality still holds. We show that the energy-momentum of gravitational wave in the ansiotropic spacetime is still well defined and conserved. |
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Keywords: | special relativity Finsler spacetime projectively flat |
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