引力理论中非线性标量和电磁场方程的类孤子解

International Journal of Sciences: Basic and Applied Research Pub Date : 2022-04-04 DOI:10.14419/ijbas.v11i1.31994

YAMADJAKO Arnaud Edouard, A. Adomou, A. Houngan

{"title":"引力理论中非线性标量和电磁场方程的类孤子解","authors":"YAMADJAKO Arnaud Edouard, A. Adomou, A. Houngan","doi":"10.14419/ijbas.v11i1.31994","DOIUrl":null,"url":null,"abstract":"In this work, exact analytical static spherical symmetric solutions to the nonlinear interacting electromagnetic and massless scalar field equations have been determined taking into account the proper gravitational field of elementary particles. The obtained results prove that all solutions of the Einstein equation and those of the interacting fields are regular with localized energy density. All non-zero components of the 4-vector potential are solutions to the inverted PainlevÃ©-Gambier XI equation. Moreover, the total energy of interacting fields is limited and the total charge of elementary particles is finite. These solutions obtained are soliton-like and can be used as a model to describe the internal structure of elementary particles.","PeriodicalId":14296,"journal":{"name":"International Journal of Sciences: Basic and Applied Research","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Soliton-like solutions of nonlinear scalar and electromagnetic field equations in gravitational theory\",\"authors\":\"YAMADJAKO Arnaud Edouard, A. Adomou, A. Houngan\",\"doi\":\"10.14419/ijbas.v11i1.31994\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, exact analytical static spherical symmetric solutions to the nonlinear interacting electromagnetic and massless scalar field equations have been determined taking into account the proper gravitational field of elementary particles. The obtained results prove that all solutions of the Einstein equation and those of the interacting fields are regular with localized energy density. All non-zero components of the 4-vector potential are solutions to the inverted PainlevÃ©-Gambier XI equation. Moreover, the total energy of interacting fields is limited and the total charge of elementary particles is finite. These solutions obtained are soliton-like and can be used as a model to describe the internal structure of elementary particles.\",\"PeriodicalId\":14296,\"journal\":{\"name\":\"International Journal of Sciences: Basic and Applied Research\",\"volume\":\"14 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-04-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Sciences: Basic and Applied Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14419/ijbas.v11i1.31994\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Sciences: Basic and Applied Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14419/ijbas.v11i1.31994","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

在考虑基本粒子固有引力场的情况下，确定了非线性相互作用电磁和无质量标量场方程的精确解析静态球对称解。所得结果证明了爱因斯坦方程的所有解和相互作用场的解都具有局域能量密度的正则性。此外，相互作用场的总能量是有限的，基本粒子的总电荷是有限的。这些解是类孤子解，可以作为描述基本粒子内部结构的模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Soliton-like solutions of nonlinear scalar and electromagnetic field equations in gravitational theory

In this work, exact analytical static spherical symmetric solutions to the nonlinear interacting electromagnetic and massless scalar field equations have been determined taking into account the proper gravitational field of elementary particles. The obtained results prove that all solutions of the Einstein equation and those of the interacting fields are regular with localized energy density. All non-zero components of the 4-vector potential are solutions to the inverted PainlevÃ©-Gambier XI equation. Moreover, the total energy of interacting fields is limited and the total charge of elementary particles is finite. These solutions obtained are soliton-like and can be used as a model to describe the internal structure of elementary particles.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

International Journal of Sciences: Basic and Applied Research

自引率

0.00%

发文量