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arXiv 2201.11784gr-qchep-th
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(1+2)维引力与电磁非极小耦合模型

A model of non-minimally coupled gravitation and electromagnetism in (1+2) dimensions

Kıvanç İ. Ünlütürk, Cem Yetişmişoğlu

摘要:

在Dereli和合作者的早期工作之后,我们研究了一个三维玩具模型,在这个模型中,我们通过最一般的$RF^2$型非最小耦合项来扩展拓扑大质量引力与电动力学。这里,$R$表示可能的曲率项,而$F$表示电磁2-形式。我们推导出变分场方程,并在具有恒定自对偶电磁场的常负曲率时空中寻找精确解。三维自对偶电磁场的概念是由Derelli及其合作者在研究重力-电磁耦合模型的精确解时引入的。我们注意到的条件,模型的参数必须满足这些自对偶的解决方案存在。

英文摘要:

Following earlier works of Dereli and collaborators, we study a three dimensional toy model where we extend the topologically massive gravity with electrodynamics by the most general $RF^2$-type non-minimal coupling terms. Here $R$ denotes the possible curvature terms and $F$ denotes the electromagnetic 2-form. We derive the variational field equations and look for exact solutions on constant negative curvature space-times with a constant, self-dual electromagnetic field. The notion of self-dual electromagnetic fields in three dimensions is introduced by Dereli and collaborators in the study of exact solutions of models with gravity-electromagnetism couplings. We note the conditions that the parameters of the model have to satisfy for these self-dual solutions to exist.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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