Characterization of Einstein-Finsler Space With Special (α; β)-Metric

Chandru K; Narasimhamurthy S. K

doi:https://doi.org/10.14445/22315373/IJMTT-V65I10P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 10 | Year 2019 | Article Id. IJMTT-V65I10P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I10P511

Characterization of Einstein-Finsler Space With Special (α; β)-Metric

Chandru K, Narasimhamurthy S. K

Abstract

In theory of relativity Einstein-Finsler metrics are very useful to study geometric structure of space-time and to build applications. In order to characterize Einstein-Finsler (α, β)-metrics, it is necessary to compute the Riemann curvature and the Ricci curvature. In this paper, we consider the special (α, β)-metric and obtained the Riemann curvature. Then we characterize the Einstein criterion for that metric, when β is a constant killing form. Further, we proved that the metric is Riemannian.

Keywords

(α, β)-metrics, Riemannian curvature, Ricci curvature, Einstein Finsler space.

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Citation :

Chandru K, Narasimhamurthy S. K, "Characterization of Einstein-Finsler Space With Special (α; β)-Metric," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 10, pp. 77-82, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I10P511