On a Class of Finsler Metrics of Scalar Flag Curvature
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DOI: 10.1007/s00025-016-0539-6
Abstract: In this paper, we prove that a class of general $${(\alpha, \, \beta)}$$(α,β)-metric are of scalar flag curvature if and only if they are locally projectively flat under certain conditions (Theorem 1.1). Moreover, we find… read more here.
Keywords: finsler metrics; class; scalar flag; flag curvature ... See more keywords
On some classes of projectively flat Finsler metrics with constant flag curvature
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DOI: 10.1016/j.difgeo.2019.101579
Abstract: Abstract In this paper, we give the equivalent PDEs for projectively flat Finsler metrics with constant flag curvature defined by a Euclidean metric and two 1-forms. Furthermore, we construct some classes of new projectively flat… read more here.
Keywords: flat finsler; finsler metrics; metrics constant; constant flag ... See more keywords
Special Finslerian generalization of the Reissner-Nordström spacetime
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DOI: 10.1103/physrevd.98.084030
Abstract: We have obtained Finslerian Ressiner-Nordstrom solution where it is asymptotic to a Finsler spacetime with constant flag curvature while $r\rightarrow\infty$. The covariant derivative of modified Einstein tensor in Finslerian gravitational field equation for this solution… read more here.
Keywords: special finslerian; constant flag; flag curvature; ressiner nordstrom ... See more keywords