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arXiv 1710.07751gr-qc
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非线性电动力学中带电黑洞的Smarr公式

A Smarr formula for charged black holes in nonlinear electrodynamics

Leonardo Balart, Sharmanthie Fernando

摘要:

众所周知,Smarr公式不适用于非线性电动力学中的黑洞。其主要原因是非线性电动力学的能量动量张量的迹不像麦克斯韦电动力学那样为零。从Komar积分出发,导出了非线性电动力学中球对称静电荷黑洞解的一个新的Smar型公式。我们表明,这个一般公式是在协议与一些黑洞解与非线性电动力学。

英文摘要:

It is well known that the Smarr formula does not hold for black holes in non-linear electrodynamics. The main reason for this is the fact that the trace of the energy momentum tensor for nonlinear electrodynamics does not vanish as it is for Maxwell's electrodynamics. Starting from the Komar integral, we derived a new Smarr-type formula for spherically symmetric static electrically charged black hole solutions in nonlinear electrodynamics. We show that this general formula is in agreement with some that are obtained for black hole solutions with nonlinear electrodynamics.

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