{"title":"pp波时空中的和田边界","authors":"P. Rossetto, A. Schelin","doi":"10.29195/iascs.03.01.0004","DOIUrl":null,"url":null,"abstract":". pp-waves are exact solutions for the full non-linear Einstein’s equations which represent ideal-ized plane-fronted gravitational waves. This work discusses the motion of free particles in such spacetimes. Chaotic behavior for this system is already known in the literature. This work expands that knowledge by demonstrating numerically that pp-waves also present the Wada property. This contributes to the hypothesis that open dynamical systems with more than two exit options will normally exhibit Wada structure.","PeriodicalId":372554,"journal":{"name":"Indian Academy of Sciences Conference Series","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Wada Boundaries in pp-Wave Spacetimes\",\"authors\":\"P. Rossetto, A. Schelin\",\"doi\":\"10.29195/iascs.03.01.0004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". pp-waves are exact solutions for the full non-linear Einstein’s equations which represent ideal-ized plane-fronted gravitational waves. This work discusses the motion of free particles in such spacetimes. Chaotic behavior for this system is already known in the literature. This work expands that knowledge by demonstrating numerically that pp-waves also present the Wada property. This contributes to the hypothesis that open dynamical systems with more than two exit options will normally exhibit Wada structure.\",\"PeriodicalId\":372554,\"journal\":{\"name\":\"Indian Academy of Sciences Conference Series\",\"volume\":\"39 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indian Academy of Sciences Conference Series\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29195/iascs.03.01.0004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Academy of Sciences Conference Series","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29195/iascs.03.01.0004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
. pp-waves are exact solutions for the full non-linear Einstein’s equations which represent ideal-ized plane-fronted gravitational waves. This work discusses the motion of free particles in such spacetimes. Chaotic behavior for this system is already known in the literature. This work expands that knowledge by demonstrating numerically that pp-waves also present the Wada property. This contributes to the hypothesis that open dynamical systems with more than two exit options will normally exhibit Wada structure.