Bianchi I型模型中Einstein-Yang-Mills-Higgs系统的渐近行为

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2023-08-25 DOI:10.5556/j.tkjm.55.2024.5127

Abel Nguelemo Kenfack, Francis Etienne Djiofack, David Dongo, Remy Magloire Etoua

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引用次数: 0

摘要

本文研究了具有局部旋转对称(LRS)的Bianchi I型时空中具有正宇宙常数的Einstein-Yang-Mills-Higgs (EYMH)系统。特别地，我们考虑了希格斯场与杨-米尔斯场耦合到一个未知引力场的非线性相互作用。对于所考虑的模型，我们从某些附加条件(时间规范和某些对称性)推导出场方程的守恒定律，然后在几何框架中推导出方程的精确公式。在此基础上，利用迭代法和一些数学分析工具对上述方程组进行了研究。然后，我们建立了齐次解的整体存在性结果，并分析了它的渐近性。

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Asymptotic behaviour of the Einstein-Yang-Mills-Higgs system in a Bianchi type I model

We study the Einstein-Yang-Mills-Higgs (EYMH) system with a positive cosmological constant in the Bianchi type I space-time with locally rotational symmetry (LRS). In particular, we consider the nonlinear interaction of the Higgs field with the Yang-Mills field coupled to an unknown gravitational field. For the considered model, from certain additional conditions (the temporal gauge and some symmetries), we derive the conservation laws for the field equations and we then deduce the exact formulation of equations in the geometric framework. Furthermore, using an iterative approch and some mathematical analysis tools, we study the above system of equations. We then establish a global existence result for the homogeneous solution and we analyse its asymptotic behaviour.

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.