A Class of Anisotropic (finsler-) Space-time Geometries
نویسنده
چکیده
A particular Finsler-metric proposed in [1,2] and describing a geometry with a preferred null direction is characterized here as belonging to a subclass contained in a larger class of Finsler-metrics with one or more preferred directions (null, spaceor timelike). The metrics are classified according to their group of isometries. These turn out to be isomorphic to subgroups of the Poincaré (Lorentz-) group complemented by the generator of a dilatation. The arising Finsler geometries may be used for the construction of relativistic theories testing the isotropy of space. It is shown that the Finsler space with the only preferred null direction is the anisotropic space closest to isotropic Minkowski-space of the full class discussed. H.F. Goenner e-mail: [email protected] G.Yu. Bogoslovsky e-mail: [email protected] c ©1996, H.F. Goenner, G.Yu. Bogoslovsky
منابع مشابه
Anisotropic Cosmological Models with a Generalized Chaplygin Gas
Anisotropic cosmological models with a generalized Chaplygin gas in a Finsler space-time geometry are considered and a class of exact solutions as well as cosmological parameters behaviors are studied. Moreover, the viability and stability criteria for a general solution are also discussed.
متن کاملStudies on Santilli’s Locally Anisotropic and Inhomogeneous Isogeometries: I. Isobundles and Generalized Isofinsler Gravity
We generalize the geometry of Santilli’s locally anisotropic and inhomogeneous isospaces to the geometry of vector isobundles provided with nonlinear and distinguished isoconnections and isometric structures. We present, apparently for the first time, the isotopies of Lagrange, Finsler and Kaluza–Klein spaces. We also continue the study of the interior, locally anisotropic and inhomogeneous gra...
متن کاملFinsler and Lagrange Geometries in Einstein and String Gravity
We review the current status of Finsler–Lagrange geometry and generalizations. The goal is to aid non–experts on Finsler spaces, but physicists and geometers skilled in general relativity and particle theories, to understand the crucial importance of such geometric methods for applications in modern physics. We also would like to orient mathematicians working in generalized Finsler and Kähler g...
متن کاملSpinors, Nonlinear Connections, and Nearly Autoparallel Maps of Generalized Finsler Spaces
We study the geometric setting of the field theory with locally anisotropic interactions. The concept of locally anisotropic space is introduced as a general one for various type of extensions of Lagrange and Finsler geometry and higher dimension (Kaluza–Klein type) spaces. The problem of definition of spinors on generalized Finsler spaces is solved in the framework of the geometry of Clifford ...
متن کاملMiron’s Generalizations of Lagrange and Finsler Geometries: a Self–Consistent Approach to Locally Anisotropic Gravity
Modern gauge theories of high energy physics, investigations in classical and quantum gravity and recent unifications of superstring theories (the so–called M– F– and S– theories) are characterized by a large application of geometric and topological methods. There are elaborated a number of Kaluza–Klein models of space–time and proposed different variants of compactification of higher dimension...
متن کامل