On the Causal and Topological Structure of the 2-Dimensional Minkowski Space

Universe

BasilK. Papadopoulos¹  Kyriakos Papadopoulos²  Nazli Kurt³ 

[1] Department of Civil Engineering, Democritus University of Thrace, 67 100 Xanthi, Greece;Department of Mathematics, Kuwait University, PO Box 5969, Safat 13060, Kuwai;Faculty of Science, Open University, PO Box 297, Milton Keynes MK7 6BJ, UK;

关键词: Minkowski space;    causal relations;    interval topology;    Alexandrov topology;    intersection topology;   

DOI  :  10.3390/universe5030070

来源: DOAJ

【 摘 要 】

A list of all possible causal relations in the two-dimensional Minkowski space M is exhausted, based on the duality between timelike and spacelike in this particular case, and thirty topologies are introduced, all of them encapsulating the causal structure of M. Generalisations of these results are discussed, as well as their significance in a discussion on spacetime singularities.

【 授权许可】

Unknown