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Causal automorphisms of two-dimensional Minkowski spacetime and homeomorphisms between its Cauchy surfaces | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 6، شماره 2، اسفند 2025، صفحه 12-31 اصل مقاله (432.27 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2025.16895.1149 | ||
| نویسندگان | ||
| Masoud Bahrami Seif Abad1؛ Mehdi Sharifzadeh* 2 | ||
| 1Department of Mathematics, Yasouj University, Yasouj, Iran | ||
| 2Department Of Mathematics, Yasouj University, Yasouj, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Lorentzian geometry؛ Globally hyperbolic؛ Order-isomorphism؛ Vietoris topology؛ Causally admissible system | ||
| مراجع | ||
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