{"id":2431,"date":"2024-11-04T16:07:48","date_gmt":"2024-11-04T16:07:48","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=2431"},"modified":"2024-11-08T08:18:49","modified_gmt":"2024-11-08T08:18:49","slug":"some-topological-results-on-a-globally-hyperbolic-spacetime-with-non-compact-cauchy-surfaces","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/some-topological-results-on-a-globally-hyperbolic-spacetime-with-non-compact-cauchy-surfaces\/","title":{"rendered":"Some topological results on a globally hyperbolic spacetime with non-compact Cauchy surfaces"},"content":{"rendered":"\n
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Moroccan Journal of Algebra and Geometry with Applications<\/strong><\/p>\n\n\n\n

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Some topological results on a globally hyperbolic spacetime<\/strong>
with non-compact Cauchy surfaces<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

Masoud Bahrami Seif Abad\\,^1<\/span><\/strong><\/i> and Mehdi Sharifzadeh\\,^2<\/span>
\\,^{1,2}<\/span>Department of Mathematics, Yasouj University,Daneshjo Ave. 75918-74831 Yasouj, Iran<\/p>\n\n\n\n

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Pages 388\u2013394 | Received 24 July 2024, Accepted 26 August 2024, Published 08 November 2024 <\/span><\/p>\n\n\n\n

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Abstract<\/span><\/strong><\/p>\n\n\n\n

This paper studies new topologies on globally hyperbolic spacetimes with non-compact Cauchy surfaces, demonstrating that these topologies are T1 but not Hausdorff, and are contained within manifold topology. The authors have derived certain properties of these topologies and shown that a continuous representation of a globally hyperbolic spacetime with a non-compact Cauchy surface is possible, based on the causally admissible systems of its Cauchy surface.<\/p>\n\n\n\n

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Keywords<\/strong>:<\/span>  Spacetime, Globally Hyperbolic, Order Isomorphism, Vietoris Topology, Causally Admissible System.<\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> 06B35, 53C50, 83C99.<\/p>\n\n\n\n

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Moroccan Journal of Algebra and Geometry with Applications Latest articles Some topological results on a globally hyperbolic spacetime with non-compact Cauchy surfaces Masoud Bahrami Seif Abad and Mehdi Sharifzadeh Department of Mathematics, Yasouj University,Daneshjo Ave. 75918-74831 Yasouj, Iran Pages 388\u2013394 | Received 24 July 2024, Accepted 26 August 2024, Published 08 November 2024 Abstract This Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-page-builder.php","meta":{"footnotes":""},"class_list":["post-2431","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2431","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/comments?post=2431"}],"version-history":[{"count":6,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2431\/revisions"}],"predecessor-version":[{"id":2516,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2431\/revisions\/2516"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=2431"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}