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arXiv 1302.1469gr-qc
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作为约束系统的高维黑洞

Higher dimensional black holes as constrained systems

J. A. Nieto, E. A. Leon, V. M. Villanueva

摘要:

我们构造了d维极大对称球空间中带电黑洞的拉格朗日和哈密顿公式。通过考虑第一个新的变量,提出了一个有趣的降维的问题,我们表明,引入一个电荷项是兼容的爱因斯坦方程的经典解决方案。事实上,我们导出了带电黑洞的著名解,特别是在d=4的情况下,Reissner-Nordström解成立,而不参考爱因斯坦场方程。我们认为,我们的程序可能有助于澄清对称性和动力学的黑洞,以及一些量子方面。

英文摘要:

We construct a Lagrangian and Hamiltonian formulation for charged black holes in a d-dimensional maximally symmetric spherical space. By considering first new variables that give raise to an interesting dimensional reduction of the problem, we show that the introduction of a charge term is compatible with classical solutions to Einstein equations. In fact, we derive the well-known solutions for charged black holes, specially in the case of d=4, where the Reissner-Nordström solution holds, without reference to Einstein field equations. We argue that our procedure may be of help for clarifying symmetries and dynamics of black holes, as well as some quantum aspects.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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