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与非线性电动力学相互作用的拟拓扑引力的瓦迪亚型解

Vaidya-Type Solutions of Quasitopological Gravity Interacting with Nonlinear Electrodynamics

Valeri P. Frolov, Chul-Moon Yoo, Andrei Zelnikov

arXiv 2607.22856首次发表:更新:

AI 中文总结

该研究在任意时空维度构建拟拓扑引力与非线性电动力学耦合的瓦迪亚型解,从静态解出发,通过提升积分常数为坐标的任意函数得到动态解,表明包含特定通量可满足场方程,为生成精确辐射带电解提供简单系统方法。

AI 中文摘要

我们在任意时空维度中构建了与非线性电动力学耦合的拟拓扑引力的瓦迪亚型解。从相应的静态球对称带电解出发,通过将积分常数,特别是质量和电荷提升为超前或滞后零坐标的任意函数,得到其动态对应解。我们表明,只要包含合适的载流零电流和零流体通量,所得场方程就能得到满足。该形式适用于广泛的非线性电磁理论,并为在拟拓扑引力中生成精确的辐射带电解提供了一种简单而系统的方法。

英文摘要

We construct Vaidya-type solutions of quasitopological gravity coupled to nonlinear electrodynamics in arbitrary spacetime dimensions. Starting from the corresponding static spherically symmetric charged solutions, we obtain their dynamical counterparts by promoting the integration constants, in particular the mass and electric charge, to arbitrary functions of the advanced or retarded null coordinate. We show that the resulting field equations are satisfied provided suitable charge-carrying null currents and null fluid fluxes are included. The formalism applies to a broad class of nonlinear electromagnetic theories and provides a simple and systematic method for generating exact radiating charged solutions in quasitopological gravity.

Comments12 pages

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