K-causal structure of space-time in general relativity

Pramana

R V Saraykar2¹  Sujatha Janardhan1² 

[1] Department of Mathematics, R.T.M. Nagpur University, Nagpur 440 033, India$$;Department of Mathematics, St. Francis De Sales College, Nagpur 440 006, India$$

关键词: 𝐶0-space-times;    causal maps;    causality conditions;    K-causality.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Using K-causal relation introduced by Sorkin and Woolgar [1], we generalize results of Garcia-Parrado and Senovilla [2,3] on causal maps. We also introduce causality conditions with respect to K-causality which are analogous to those in classical causality theory and prove their inter-relationships. We introduce a new causality condition following the work of Bombelli and Noldus [4] and show that this condition lies in between global hyperbolicity and causal simplicity. This approach is simpler and more general as compared to traditional causal approach [5,6] and it has been used by Penrose et al [7] in giving a new proof of positivity of mass theorem. 𝐶0-space-time structures arise in many mathematical and physical situations like conical singularities, discontinuous matter distributions, phenomena of topology-change in quantum field theory etc.

【 授权许可】

Unknown