{"title":"非线性电动力学模型与Robinson-Trautman几何的相容性","authors":"T. Tahamtan","doi":"10.1103/PHYSREVD.103.064052","DOIUrl":null,"url":null,"abstract":"Robinson--Trautman solutions with Nonlinear Electrodynamics are investigated for both L(F ) and L(F, G) Lagrangians and presence of electric and magnetic charges as well as electromagnetic radiation is assumed. Particular interest is devoted to models representing regular black holes for spherically symmetric situations. The results show clear uniqueness of Maxwell electrodynamics with respect to compatibility with Robinson--Trautman class. Additionally, regular black hole models are clearly not suited to this class while famous Born--Infeld model illustrates important distinction between L(F ) and L(F, G) for obtained electric field when magnetic field is nontrivial.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Compatibility of nonlinear electrodynamics models with Robinson-Trautman geometry\",\"authors\":\"T. Tahamtan\",\"doi\":\"10.1103/PHYSREVD.103.064052\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Robinson--Trautman solutions with Nonlinear Electrodynamics are investigated for both L(F ) and L(F, G) Lagrangians and presence of electric and magnetic charges as well as electromagnetic radiation is assumed. Particular interest is devoted to models representing regular black holes for spherically symmetric situations. The results show clear uniqueness of Maxwell electrodynamics with respect to compatibility with Robinson--Trautman class. Additionally, regular black hole models are clearly not suited to this class while famous Born--Infeld model illustrates important distinction between L(F ) and L(F, G) for obtained electric field when magnetic field is nontrivial.\",\"PeriodicalId\":8455,\"journal\":{\"name\":\"arXiv: General Relativity and Quantum Cosmology\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-10-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: General Relativity and Quantum Cosmology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1103/PHYSREVD.103.064052\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: General Relativity and Quantum Cosmology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1103/PHYSREVD.103.064052","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Compatibility of nonlinear electrodynamics models with Robinson-Trautman geometry
Robinson--Trautman solutions with Nonlinear Electrodynamics are investigated for both L(F ) and L(F, G) Lagrangians and presence of electric and magnetic charges as well as electromagnetic radiation is assumed. Particular interest is devoted to models representing regular black holes for spherically symmetric situations. The results show clear uniqueness of Maxwell electrodynamics with respect to compatibility with Robinson--Trautman class. Additionally, regular black hole models are clearly not suited to this class while famous Born--Infeld model illustrates important distinction between L(F ) and L(F, G) for obtained electric field when magnetic field is nontrivial.
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