{"title":"在RW时空中与引力相互作用的自旋场不可能具有“类标准”形式","authors":"A. Zecca","doi":"10.12988/ASTP.2018.71262","DOIUrl":null,"url":null,"abstract":"It is shown that if the Einstein field equation is coupled to the massive spinor field equation of spin s > 1/2, then the spin field cannot have the form of a standard solution nor to be superposition of standard solutions in Robertson Walker space-time. For standard solutions are meant the wide class of solutions of the spinor field equations previously determined by variable separation in RW space-time. The result is an extension to the fermion field case of a similar result previously obtained for massive bosons and for the Einstein-Dirac equation in RW space time.","PeriodicalId":127314,"journal":{"name":"Advanced Studies in Theoretical Physics","volume":"992 ","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"A spin field interacting with gravity in RW space-time cannot have a \\\"standard-like\\\" form\",\"authors\":\"A. Zecca\",\"doi\":\"10.12988/ASTP.2018.71262\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that if the Einstein field equation is coupled to the massive spinor field equation of spin s > 1/2, then the spin field cannot have the form of a standard solution nor to be superposition of standard solutions in Robertson Walker space-time. For standard solutions are meant the wide class of solutions of the spinor field equations previously determined by variable separation in RW space-time. The result is an extension to the fermion field case of a similar result previously obtained for massive bosons and for the Einstein-Dirac equation in RW space time.\",\"PeriodicalId\":127314,\"journal\":{\"name\":\"Advanced Studies in Theoretical Physics\",\"volume\":\"992 \",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advanced Studies in Theoretical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/ASTP.2018.71262\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advanced Studies in Theoretical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/ASTP.2018.71262","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A spin field interacting with gravity in RW space-time cannot have a "standard-like" form
It is shown that if the Einstein field equation is coupled to the massive spinor field equation of spin s > 1/2, then the spin field cannot have the form of a standard solution nor to be superposition of standard solutions in Robertson Walker space-time. For standard solutions are meant the wide class of solutions of the spinor field equations previously determined by variable separation in RW space-time. The result is an extension to the fermion field case of a similar result previously obtained for massive bosons and for the Einstein-Dirac equation in RW space time.