Gravity as a Finslerian Metric Phenomenon

We give a description of the effect of the gravitational field by using the geodesic equation of motion with respect to a first order Finslerian approximation of the Minkowski metric. This motivates linking the physical force of gravity to the non flat nature of space in the Finslerian setting and l...

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Bibliographic Details
Published in:Foundations of physics 2012-03, Vol.42 (3), p.436-453
Main Authors: Barletta, Elisabetta, Dragomir, Sorin
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Classical Mechanics
History and Philosophical Foundations of Physics
Philosophy of Science
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Statistical Physics and Dynamical Systems
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Summary:We give a description of the effect of the gravitational field by using the geodesic equation of motion with respect to a first order Finslerian approximation of the Minkowski metric. This motivates linking the physical force of gravity to the non flat nature of space in the Finslerian setting and leads to an anisotropic version of the red shift formula. We solve the linearized Finslerian field equations proposed by S.F. Rutz (Gen. Relativ. Gravit. 25(11):1139–1158, 1993 ).
ISSN:0015-9018
1572-9516
DOI:10.1007/s10701-011-9614-8