K-Causal Structure of Space-Time in General Relativity

Details K-Causal Structure of Space-Time in General Relativity K-Causal Structure of Space-Time in General Relativity

2005-03-09

arxiv.org/abs/gr-qc/0503032v2

Pramana-journal of Phys, Vol 70, No. 4, pp. 587-601, April 2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 4 figures

Scientific paper

Using K-causal relation introduced by Sorkin and Woolgar [26], we gener- alize results of Garcia-Parrado and Senovilla [8, 9] 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 [3] 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 [11, 19] and it has been used by Penrose et.al [20] 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.

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