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On variation of action integral in Finsler gravity
沈斌副教授(东南大学)
Thursday, November 1st, 2018, 1:00 PM 闵行4教414 

Abstract：In this talk, we will introduce a generalized action integral of both gravity and matter defined on the sphere bundle over Finsler spacetime manifold $M$ with a LorentzFinsler metric. The EulerLagrange equation of this functional, a generalization of the RiemannEinstein gravity equation with a defined cosmological constant, is obtained by using some divergence theorems. Fibers of the sphere bundle are unbounded according to the pseudoFinsler metric. Moreover, solutions of vacuum Finsler gravity equation under the weakly Landsberg condition are discussed and some concrete examples are provided. At last, we raise some questions for further study.



