Special Issue "Finsler Modification of Classical General Relativity"
Deadline for manuscript submissions: closed (31 December 2020).
General relativity is a very successful theory that is in agreement with all observations to date (if one accepts the existence of dark matter). Nonetheless, there are good reasons for investigating possible modifications of this theory. One modification is in replacing the pseudo-Riemannian metric on which general relativity is based by a Finslerian metric. There are at least two motivations for considering such a modification: The first motivation comes from the fact that a slight modification of the Ehlers–Pirani–Schild axiomatic approach to spacetime theory leads in a very natural way to a Finsler structure. The second motivation is based on the idea that some effects from a still-to-be-found quantum theory of gravity could be described in terms of a classical ("effective") Finslerian spacetime theory.
This Special Issue is devoted to all aspects of such Finsler-modified classical spacetime theories. Among other things, this includes (a) the question of which definition of a Finsler spacetime is most appropriate from the viewpoint of physics; (b) the Finsler-analogue of Einstein's field equation; (c) the Maxwell, Klein-Gordon and Dirac equations on Finsler manifolds; and (d) experimental and observational tests of Finsler spacetime theories in the laboratory, in the solar system, on galactic scales and in cosmology.
Dr. Volker Perlick
Manuscript Submission Information
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- Finsler geometry
- modified gravity
- modified Einstein equation