黑环的双重拷贝
The Double Copy of the Black Ring
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中文总结 AI 辅助
本文构造了五维Emparan--Reall黑环的精确Weyl双重拷贝，将其Weyl曲率分解为两个标量加权的Maxwell平方，并确立De Smet类型22，排除了单Maxwell平方简化。
中文摘要 AI 辅助
我们构造了五维单自旋Emparan--Reall黑环的精确Weyl双重拷贝。其完整的非线性Weyl曲率是两个标量加权的Maxwell平方之和。其中一个场由稳态Killing矢量生成；另一个通过连接环的球面携带拓扑磁通。两者都是黑环时空上的无源Maxwell场，相应的标量伙伴满足一个共同的带源波动方程。这将精确的五维Weyl加倍从类型D和类型N的例子扩展到外部同时包含类型G和类型I_i区域的黑洞。Weyl多项式分解为两个不同的不可约二次式，确立了真正的De Smet类型22，从而排除了简化为单个Maxwell平方的可能性。
英文摘要
We construct an exact Weyl double copy of the singly spinning five-dimensional Emparan--Reall black ring. Its complete nonlinear Weyl curvature is the sum of two scalar-weighted Maxwell squares. One field is generated by the stationary Killing vector; the other carries topological magnetic flux through a sphere linking the ring. Both are source-free Maxwell fields on the black-ring spacetime, with corresponding scalar partners obeying a common sourced wave equation. This extends exact five-dimensional Weyl doubling beyond the type-$\mathrm D$ and type-$\mathrm N$ examples to a black hole whose exterior contains both type-$\mathrm G$ and type-$\mathrm{I}_i$ regions. The Weyl polynomial factorizes into two distinct irreducible quadratics, establishing genuine De Smet type $22$, thereby ruling out a reduction to a single Maxwell square.
发表机构
- Arizona State University（亚利桑那州立大学）
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