Almost isometries of non-reversible metrics with applications to stationary spacetimes

JOURNAL OF GEOMETRY AND PHYSICS

卷:89

Article

Angel Javaloyes, Miguel¹  Lichtenfelz, Leandro²  Piccione, Paolo² 

[1] Univ Murcia, Dept Matemat, Campus Espinardo, E-30100 Murcia, Spain

[2] Univ Sao Paulo, Dept Matemat, BR-05508900 Sao Paulo, Brazil

关键词: Finsler and Randers metrics;    Geodesics;    Isometries;    Quasi-metrics;    Stationary spacetimes;   

DOI  :  10.1016/j.geomphys.2014.12.001

来源: Elsevier

【 摘 要 】

We develop the basics of a theory of almost isometries for spaces endowed with a quasimetric. The case of non-reversible Finsler (more specifically, Randers) metrics is of particular interest, and it is studied in more detail. The main motivation arises from General Relativity, and more specifically in spacetimes endowed with a timelike conformal field K, in which case conformal diffeomorphisms correspond to almost isometries of the Fermat metrics defined in the spatial part. A series of results on the topology and the Lie group structure of conformal maps are discussed. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free