Abstract
Several physical principles of Finsler gravity are proposed in this paper, and I apply the principles to construct a Finsler gravity action, which satisfy the condition that the action can be reduced to the General Relativity action once the metric is independent from the tangent vector. I also get a spacetime solution in Finsler spacetime with the tangent vector yφ, moreover the solution indicates that the metric relies on the property of test particle in Finsler spacetime.
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