• K-causal structure of space-time in general relativity

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      https://www.ias.ac.in/article/fulltext/pram/070/04/0587-0601

    • Keywords

       

      $C^{0}$-space-times; causal maps; causality conditions; K-causality.

    • Abstract

       

      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. $C^{0}$-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.

    • Author Affiliations

       

      Sujatha Janardhan1 R V Saraykar2

      1. Department of Mathematics, St. Francis De Sales College, Nagpur 440 006, India
      2. Department of Mathematics, R.T.M. Nagpur University, Nagpur 440 033, India
    • Dates

       
  • Pramana – Journal of Physics | News

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