On variation of action integral in Finsler gravity

Journal Article · Wed May 15 04:00:00 EDT 2019 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2019.02.009· OSTI ID:22852396

Ni, Panrui ^[1]; Shen, Bin ^[2]

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1. School of Civil Engineering, Southeast University, Nanjing 211189 (China)
2. School of Mathematics, Southeast University, Nanjing 211189 (China)

In this paper, a generalized action integral of both gravity and matter is defined on the sphere bundle over Finsler space–time manifold M with a Lorentz–Finsler metric. The Euler–Lagrange equation of this functional, a generalization of the Riemann–Einstein gravity equation is obtained by using some divergence theorems. Fibres of the sphere bundle are unbounded according to the pseudo-Finsler 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.

• OSTI ID: 22852396
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 404; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACTION INTEGRAL
EINSTEIN FIELD EQUATIONS
GRAVITATION
LAGRANGE EQUATIONS
METRICS
SPACE-TIME
SPHERES