Abstract
In this paper, we show that every causal isomorphism between the causal future of the Cauchy surfaces of two globally hyperbolic spacetimes with non-compact Cauchy surface can be related to a unique order-isomorphism between its admissible systems. Conversely, we establish that every order-isomorphism between admissible systems can be related to a unique causal isomorphism between the causal future of its Cauchy surfaces.
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Communicated by M. Reza Koushesh.
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Abad, M.B.S., Sharifzadeh, M. Causal Isomorphism Between Globally Hyperbolic Spacetimes. Bull. Iran. Math. Soc. 48, 3059–3075 (2022). https://doi.org/10.1007/s41980-022-00679-y
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DOI: https://doi.org/10.1007/s41980-022-00679-y
Keywords
- Spacetime
- Strongly causal
- Globally hyperbolic
- Causal isomorphism
- Order isomorphism
- Vietoris topology
- Causally admissible system