Einstein-Maxwell system in 3+1 form and initial data for multiple charged black holes
Einstein-Maxwell system in 3+1 form and initial data for multiple charged black holes
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3 1 形式的爱因斯坦-麦克斯韦系统和多个带电黑洞的初始数据
DOI：
10.1103/physrevd.80.104022
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发表时间：
2009
影响因子：
5
通讯作者：
M. Salgado
中科院分区：
文献类型：
--
作者：
M. Alcubierre;J. C. Degollado;M. Salgado
我们把爱因斯坦-麦克斯韦方程组看作一个以电场和磁场为自变量的柯西初值问题。用3+1的形式详细推导了弯曲时空中的麦克斯韦方程组，并分析了其双曲性质，证明了所得到的方程组是对称双曲的。我们还重点讨论了在假设时间对称初始数据的情况下寻找多带电黑洞初始数据的问题，并使用一种类似点的方法来求解哈密顿约束和高斯约束。我们研究了所得到的初始数据族的行为，并表明在这个方向上的先前结果可以作为我们的方法的特殊情况而得到。
We consider the Einstein-Maxwell system as a Cauchy initial value problem taking the electric and magnetic fields as independent variables. Maxwell's equations in curved spacetimes are derived in detail using a 3+1 formalism and their hyperbolic properties are analyzed, showing that the resulting system is symmetric hyperbolic. We also focus on the problem of finding initial data for multiple charged black holes assuming time-symmetric initial data and using a puncturelike method to solve the Hamiltonian and the Gauss constraints. We study the behavior of the resulting initial data families, and show that previous results in this direction can be obtained as particular cases of our approach.