Gibbons-Maeda dilaton黑洞时空的标量场的自由能

Gibbons-Maeda dilaton黑洞时空的标量场的自由能

摘要：本文利用brick-wall方法计算Gibbons-Maeda dilaton 黑洞时空的标量场的自由能，首先，在Gibbons-Maeda dilaton ϡ 黑洞背景时空中无质量标量波的Klein-Gordon 方程分离变量，分别得到角向方程径向方程。其中角向方程的解是球谐函数。采用近似方法得到了径向方程的解，最后得到自由能。

关键词：brick-wall方法 ; Gibbons-Maeda dilaton黑洞 ; 自由能

Free energy in Gibbons-Maeda Dilaton Black Hole Space-time

Abstract: B Üy“Brick-wall”method, we calculate the free energy and the entropy of scalar field in Gibbons-Maeda dilaton black hole space-time. At the frist, We separate the variables of the Klein-Gordon equation in Gibbons-Maeda dilaton black hole spacetime, Angular equation and radial waveฃ equation are obtained. The solution ☠of angular equation is spherical harmonic function. We solve the radial equation by approximat✄ion method. Finally, we got the free energy.

Key words: Brick-wall method, Gibbons-Maeda dilaton black hole, entropy.

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