The globally hyperbolic metric splitting for non-smooth wave-type space-times

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:420

Article

Hoermann, Guenther¹  Saemann, Clemens¹ 

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

关键词: Generalized functions;    Regularization;    Lorentzian manifolds;    Non-smooth space-times;    Wave-type space-times;   

DOI  :  10.1016/j.jmaa.2014.05.086

来源: Elsevier

【 摘 要 】

We investigate a generalization of the so-called metric splitting of globally hyperbolic space-times to non-smooth Lorentzian manifolds and show the existence of this metric splitting for a class of wave-type space-times. The approach used is based on smooth approximations of non-smooth space-times by families (or sequences) of globally hyperbolic space-times. In the same setting we indicate as an application the extension of a previous result on the Cauchy problem for the wave equation. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free