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arXiv 1807.08736hep-thgr-qc
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三维挠率引力场的准局域能量

Quasi-local Energy in 3D Gravity with Torsion

Cheng-Hao Wei, Bo Ning

摘要:

我们表明,对于一般的固定时空和特定的Killing场,Wald的方法准本地能量可以推广到一阶形式主义直截了当地没有引入Lorentz-Lie导数。通过这种方法,我们导出了三维扭转Mielke-Baekler引力中黑洞熵的一般公式,精确地再现了BTZ类解的总能量、角动量以及黑洞熵.

英文摘要:

We show that for generic stationary spacetime and specific Killing fields, Wald's approach for quasi-local energy could be generalized to the first order formalism straightforwardly without introducing the Lorentz-Lie derivative. Via this approach, we derive the general formula for the black hole entropy in three dimensional torsional Mielke-Baekler gravity, reproducing precisely the total energy, the angular momentum as well as the black hole entropy for the BTZ-like solutions.

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