Finsler geometric extension of Einstein gravity
| Autor: | Christian Pfeifer, Mattias N. R. Wohlfarth |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Physics
Physics::General Physics Nuclear and High Energy Physics Spacetime Spacetime symmetries FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Mathematical Physics (math-ph) General Relativity and Quantum Cosmology Lorentz group Gravitation symbols.namesake Classical mechanics Unit tangent bundle symbols Schwarzschild metric Mathematics::Differential Geometry Finsler manifold Einstein Mathematics::Symplectic Geometry Mathematical Physics Mathematical physics |
| Zdroj: | Physical Review D. 85 |
| ISSN: | 1550-2368 1550-7998 |
| DOI: | 10.1103/physrevd.85.064009 |
| Popis: | We construct gravitational dynamics for Finsler spacetimes in terms of an action integral on the unit tangent bundle. These spacetimes are generalizations of Lorentzian metric manifolds which satisfy necessary causality properties. A coupling procedure for matter fields to Finsler gravity completes our new theory that consistently becomes equivalent to Einstein gravity in the limit of metric geometry. We provide a precise geometric definition of observers and their measurements, and show that the transformations by means of which different observers communicate form a groupoid that generalizes the usual Lorentz group. Moreover, we discuss the implementation of Finsler spacetime symmetries. We use our results to analyze a particular spacetime model that leads to Finsler geometric refinements of the linearized Schwarzschild solution. Comment: 39 pages, 4 figures, journal references added |
| Databáze: | OpenAIRE |
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