Causal behaviour on Carter Spacetime
<p>In this work we will focus on the causal character of Carter Spacetime (see [2], [10]). The importance of this spacetime is the following: for the causally best well behaved spacetimes (the globally hyperbolic ones), there are several characterizations or alternative definitions.</p>&...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universidad San Francisco de Quito USFQ
2015-05-01
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| Series: | ACI Avances en Ciencias e Ingenierías |
| Subjects: | |
| Online Access: | http://revistas.usfq.edu.ec/index.php/avances/article/view/218 |
| _version_ | 1827334780315762688 |
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| author | Oihane F. Blanco Andrea Moreira |
| author_facet | Oihane F. Blanco Andrea Moreira |
| author_sort | Oihane F. Blanco |
| collection | DOAJ |
| description | <p>In this work we will focus on the causal character of Carter Spacetime (see [2], [10]). The importance of this spacetime is the following: for the causally best well behaved spacetimes (the globally hyperbolic ones), there are several characterizations or alternative definitions.</p><p>In some cases, it has been shown that some of the causal properties required in these characterizations can be weakened. But Carter spacetime provides a counterexample for an impossible relaxation in one of them. We studied the possibility of Carter spacetime to be a counterexample for impossible lessening in another characterization, based on the previous results.</p><p>In particular, we will prove that the time-separation or Lorentzian distance between two chosen points in Carter spacetime is infinite. Although this spacetime turned out not to be the counterexample we were looking for, the found result is interesting <em>per se</em> and provides ideas for alternate approaches to the possibility of weakening the mentioned characterization.</p> |
| first_indexed | 2024-03-07T18:02:45Z |
| format | Article |
| id | doaj.art-83703d536b144b60ab7207d30e865526 |
| institution | Directory Open Access Journal |
| issn | 1390-5384 2528-7788 |
| language | English |
| last_indexed | 2024-03-07T18:02:45Z |
| publishDate | 2015-05-01 |
| publisher | Universidad San Francisco de Quito USFQ |
| record_format | Article |
| series | ACI Avances en Ciencias e Ingenierías |
| spelling | doaj.art-83703d536b144b60ab7207d30e8655262024-03-02T10:22:38ZengUniversidad San Francisco de Quito USFQACI Avances en Ciencias e Ingenierías1390-53842528-77882015-05-017110.18272/aci.v7i1.218217Causal behaviour on Carter SpacetimeOihane F. Blanco0Andrea Moreira1Universidad San Francisco de QuitoUniversidad San Francisco de Quito<p>In this work we will focus on the causal character of Carter Spacetime (see [2], [10]). The importance of this spacetime is the following: for the causally best well behaved spacetimes (the globally hyperbolic ones), there are several characterizations or alternative definitions.</p><p>In some cases, it has been shown that some of the causal properties required in these characterizations can be weakened. But Carter spacetime provides a counterexample for an impossible relaxation in one of them. We studied the possibility of Carter spacetime to be a counterexample for impossible lessening in another characterization, based on the previous results.</p><p>In particular, we will prove that the time-separation or Lorentzian distance between two chosen points in Carter spacetime is infinite. Although this spacetime turned out not to be the counterexample we were looking for, the found result is interesting <em>per se</em> and provides ideas for alternate approaches to the possibility of weakening the mentioned characterization.</p>http://revistas.usfq.edu.ec/index.php/avances/article/view/218teoría de causalidadhiperbolicidad globalespaciotiempo de Carter |
| spellingShingle | Oihane F. Blanco Andrea Moreira Causal behaviour on Carter Spacetime ACI Avances en Ciencias e Ingenierías teoría de causalidad hiperbolicidad global espaciotiempo de Carter |
| title | Causal behaviour on Carter Spacetime |
| title_full | Causal behaviour on Carter Spacetime |
| title_fullStr | Causal behaviour on Carter Spacetime |
| title_full_unstemmed | Causal behaviour on Carter Spacetime |
| title_short | Causal behaviour on Carter Spacetime |
| title_sort | causal behaviour on carter spacetime |
| topic | teoría de causalidad hiperbolicidad global espaciotiempo de Carter |
| url | http://revistas.usfq.edu.ec/index.php/avances/article/view/218 |
| work_keys_str_mv | AT oihanefblanco causalbehaviouroncarterspacetime AT andreamoreira causalbehaviouroncarterspacetime |