发表机构
Theoretical Physics Institute, Department of Physics, University of Alberta（阿尔伯塔大学理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究将修正双副本方法扩展到带物质的拟拓扑引力，通过映射场方程得到Kerr-Schild度规解，验证多种物质源的兼容性，在爱因斯坦极限下辅助非线性电动力学退化为麦克斯韦理论。
AI 中文摘要
我们将新近提出的修正双副本形式主义扩展到与物质耦合的拟拓扑引力（QTG）。对于球对称构型，D维弯曲时空中带有广泛物质源的QTG场方程，被映射到(D+1)维平直时空中一个辅助非线性规范场的方程。支配该辅助场的非线性电动力学完全由指定QTG模型的生成函数h(p)决定，而对应的电流则由物质应力-能量张量决定。将辅助解限制在D维超平面上并应用修正双副本规则，可得到满足QTG方程的Kerr-Schild度规。我们证明，麦克斯韦理论、非线性电动力学以及广泛的球对称杨-米尔斯场，都提供了与该构造兼容的物理物质源。在无零电流的情况下，所得解满足广义伯克霍夫定理且为静态，而零荷电流自然会生成Vaidya型解。在爱因斯坦极限下，即h(p)=p时，辅助非线性电动力学退化为麦克斯韦理论。
英文摘要
We extend the recently proposed modified double-copy formalism to quasitopological gravity (QTG) coupled to matter. For spherically symmetric configurations, the QTG field equations in $D-$dimensional curved spacetime with a broad class of matter sources are mapped to equations for an auxiliary nonlinear gauge field in a flat $(D+1)$-dimensional spacetime. The nonlinear electrodynamics governing this auxiliary field is determined entirely by the generating function $h(p)$ that specifies the QTG model, while the corresponding current is determined by the matter stress-energy tensor. Restricting the auxiliary solution to a $D$-dimensional hyperplane and applying the modified double-copy prescription yields the Kerr--Schild metric solving the QTG equations. We show that Maxwell and nonlinear electrodynamics, as well as a broad class of spherically symmetric Yang--Mills fields, provide physical matter sources compatible with this construction. In the absence of null-matter fluxes, the corresponding solutions possess an additional Killing vector. This means that they satisfy a generalized Birkhoff theorem, whereas null charged currents naturally generate Vaidya-type solutions. In the Einstein limit, $h(p)=p$, the auxiliary nonlinear electrodynamics reduces to Maxwell theory.
CommentsSeveral misprints are corrected. 9 pages, 1 figure
