Causal automorphisms of two-dimensional Minkowski spacetime and homeomorphisms between its Cauchy surfaces

Articles in Press

Document Type : Original Article

Authors

1 Department of Mathematics, Yasouj University, Yasouj, Iran

2 Department Of Mathematics, Yasouj University, Yasouj, Iran

10.22098/jfga.2025.16895.1149

Abstract

In this paper, we show that for two-dimensional Minkowski spacetime R21with a non-compact Cauchy surface Σ, every compact and connected subset of Σ is a future and past causally admissible subset and it means that the set of all the future causally admissible subset of R21 with respect to Σ is equal to the set of all the set of all the past causally admissible subset of R21 with respect to Σ. Moreover it has been shown that for every spacelike Cauchy surfaces Σ, Σ' of the globally hyperbolic spactime R21, every bijection f:Σ→Σ' can be consider as a homeomorphism or (future, past) causally admissible function.

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References

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Journal of Finsler Geometry and its Applications

Articles in Press, Accepted Manuscript
Available Online from 02 June 2025

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