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arXiv 1801.07692gr-qc
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爱因斯坦引力的Finlser几何推广

Finlser geometric extension of Einstein gravity

Christian Pfeifer, Mattias N. R. Wohlfarth

摘要:

我们提出了我们的芬斯勒时空形式主义,扩展了芬斯勒几何的标准制定适用于物理学。芬斯勒时空是物理学中可行的非度规几何背景;它们保证了定义良好的因果关系、光在非平凡零结构上的传播、物理观测者的明确概念以及物理场论的存在,这些物理场论根据扩展的引力场方程动态地确定了时空的几何。在这里,我们给出了芬斯勒时空的精确定义和定义良好的观察者的概念,他们的测量,他们之间的转换和如何制定行动为基础的场论。

英文摘要:

We present our Finsler spacetime formalism which extends the standard formulation of Finsler geometry to be applicable in physics. Finsler spacetimes are viable non-metric geometric backgrounds for physics; they guarantee well defined causality, the propagation of light on a non-trivial null structure, a clear notion of physical observers and the existence of physical field theories determining the geometry of space-time dynamically in terms of an extended gravitational field equation. Here we give the precise definition of Finsler spacetimes and the notion of well-defined observers, their measurements, the transformations between them and how to formulate action based field theories.

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