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Domain Theory in General Relativity
Neda Ebrahimin_ebrahimi@uk.ac.irDepartment of Pure MathematicsShahid Bahonar University of KermanKerman, IranView full profile →
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- Received:
- 02 Mar 2014
- Accepted:
- 01 Feb 2015
- Published Online:
- 02 Jun 2015
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2015.1029328
- Pages:
- 35–41
Abstract
It is proved that k- causal spacetimes, with inner continuous Int(K±(.)), are jointly bicontinuous posets whose interval topology is the manifold topology. In particular, using the relation K+, causally continuous space-times can be reconstructed
References
- S.Abramsky and A.Jung, Domain theory , In S.Abramsky, D. M.Gabbay and T. S. E.Maibaum, editors, Handbook of Logic in Computer Science , vol III . Oxford University Press , 1994 .
- J. K.Beem, P. E.Ehrlich and K. L.Easley, Global Lorentzian Geometry , Marcel Dekker , New York, 1996 .
- N.Gerami, N.Ebrahimi, A generalization of strong causality , Journal of Dynamical Systems and Geometric theories , Vol. 8 , Number 1 , 37 – 49 ( 2010 ).
- N.Ebrahimi, A generalization of strong causality , PhD Thsis, Shahid Bahonar University of Kerman , 2010 .
- K.Martin, P.Panangaden, Spacetime topology from causality , Arxiv gr-qc/0407093v1 ( 2004 ).
- K.Martin, P.Panangaden, A domain of spacetime intervals in general relativity , Communications in Mathematical Physics , Vol. 267 , Number 3 , 563 – 586 ( 2006 ).
- E.Minguzzi, The causal ladder and the sterength of - causality:II , Classical and Quantum Gravity , Vol. 25 , 015010 ( 2008 ).
- E.Minguzzi, The causal ladder and the sterength of - causality:I , Classical and Quantum Gravity , Vol. 25 , 015009 ( 2008 ).
- E.Minguzzi, K-causality coincides with stable causality , Communications in Mathematical Physics , Vol. 290 , 239 – 248 ( 2009 ).
- R. D.Sorkin and E.Woolgar, A causal order for spacetime with lorentzian metrics: proof of compactness of the space of causal curves , Classical and Quantum Gravity , Vol. 13 , 1971 – 93 ( 1996 ).
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