带物质的准拓扑引力的修正双副本构造
Modified Double Copy for Quasitopological Gravity with Matter
- University of Alberta（阿尔伯塔大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究将修正双副本构造扩展到带物质的准拓扑引力，利用辅助规范场方程解构造QTG场方程精确解，涵盖多类理论与解并重现爱因斯坦引力极限。
AI中文摘要：
我们将修正双副本构造扩展到与物质耦合的准拓扑引力（QTG）。D维的球对称QTG解由(D+1)维平直时空的辅助规范场生成。引力场方程简化为两个由QTG生成函数和物质应力-能量张量确定的关系。对于一大类球对称物质源，辅助规范场方程的解可用于构造QTG场方程的精确解。该框架适用于麦克斯韦理论、非线性电动力学和杨-米尔斯理论，涵盖静态和Vaidya型解，并能重现爱因斯坦引力极限。
英文摘要：
We extend the modified double-copy construction to quasitopological gravity (QTG) coupled to matter. Spherically symmetric QTG solutions in $D$ dimensions are generated from an auxiliary gauge field in a flat $(D+1)$-dimensional spacetime. The gravitational field equations reduce to two relations determined by the QTG generating function and the matter stress--energy tensor. For a broad class of spherically symmetric matter sources, solutions of the auxiliary gauge-field equations can be used to construct exact solutions of the QTG field equations. The framework applies to Maxwell theory, nonlinear electrodynamics, and Yang--Mills theory, encompasses both static and Vaidya-type solutions, and reproduces the Einstein-gravity limit.
