论文标题
宇宙学鳍的空间
Cosmological Finsler Spacetimes
论文作者
论文摘要
将宇宙学原理应用于芬斯勒的空间，我们确定了空间均匀和各向同性的Finsler几何形状的对称发电机的代数，从而推广Friedmann-Lemann-Lema- Robertson-Walker-Walker-Walker-Walker的几何形状。特别是，我们发现最一般的空间均匀和各向同性的伯瓦尔德（Berwald）空间，它们是Finsler的空间，可以被视为最接近Pseudo-Riemannian的几何形状。它们是由Finsler Lagrangian在切线束上的零均匀函数中构建的，该功能以非常具体的方式编码Finsler Lagrangian的速度依赖性。所获得的宇宙学伯瓦尔德几何形状是候选宇宙几何形状的候选物，当它们从鳍重力方程中获得的溶液时。
Applying the cosmological principle to Finsler spacetimes, we identify the Lie Algebra of symmetry generators of spatially homogeneous and isotropic Finsler geometries, thus generalising Friedmann-Lemaître-Robertson-Walker geometry. In particular, we find the most general spatially homogeneous and isotropic Berwald spacetimes, which are Finsler spacetimes that can be regarded as closest to pseudo-Riemannian geometry. They are defined by a Finsler Lagrangian built from a zero-homogeneous function on the tangent bundle, which encodes the velocity dependence of the Finsler Lagrangian in a very specific way. The obtained cosmological Berwald geometries are candidates for the description of the geometry of the universe, when they are obtained as solutions from a Finsler gravity equation.
