An imbedding of spacetimes |
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Affiliation: | Department of Mathematics, College of Natural Science, Dankook University, San 29, Anseo-dong, Dongnam-gu, Cheonan-si, Chungnam, 330-714, Republic of Korea |
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Abstract: | It is shown that any two-dimensional spacetimes with compact Cauchy surfaces can be causally isomorphically imbedded into the two-dimensional Einstein’s static universe. Also, it is shown that any two-dimensional globally hyperbolic spacetimes are conformally equivalent to a subset of the two-dimensional Einstein’s static universe. |
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Keywords: | Causality Imbedding Spacetimes Cauchy surfaces Global hyperbolicity Conformal imbedding |
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