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arXiv 1005.4102gr-qc
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亏损立体角类五重物质黑洞准正规频率能级间距的简单推导

A simple derivation of level spacing of quasinormal frequencies for a black hole with a deficit solid angle and quintessence-like matter

Ping Xi, Xi-chen Ao, Xin-zhou Li

摘要:

本文用Padmanabhan方法\cite{Padmanabhan}解析地研究了具有亏损立体角和类五度物质的黑洞的拟正规频率虚部的能级空间. Padmanabhan提出了一种方法,分析研究了一类球对称时空的拟正规频率的虚部,这类时空包括具有均匀空间结构的Schwarzschild-de Sitter黑洞。结果表明,这类黑洞的标量拟正规频率和引力拟正规频率的水平空间分别在-1 < w < -1/3的范围内只依赖于黑洞视界的表面引力.我们还将$w$的范围推广到$w \leq -1$,其结果与-1 < w < -1/3情形相似.特别地,在加速宇宙中,一个具有亏损立体角的黑洞将是一个Schwarzschild-de Sitter黑洞,固定$w = -1$和$ε^2 = 0$。当$ρ_0 = 0$和$ε^2 = 0$满足一定条件时,加速宇宙中具有亏损立体角的黑洞将是史瓦西黑洞.本文中,$w$是状态方程的参数,$ε^2$是与亏损立体角有关的参数,$ρ_0$是静态球对称类精粹物质在$r = 1$处的密度。

英文摘要:

In this paper, we investigate analytically the level space of the imaginary part of quasinormal frequencies for a black hole with a deficit solid angle and quintessence-like matter by the Padmanabhan's method \cite{Padmanabhan}. Padmanabhan presented a method to study analytically the imaginary part of quasinormal frequencies for a class of spherically symmetric spacetimes including Schwarzschild-de Sitter black holes which has an evenly spaced structure. The results show that the level space of scalar and gravitational quasinormal frequencies for this kind of black holes only depend on the surface gravity of black-hole horizon in the range of -1 < w < -1/3, respectively . We also extend the range of $w$ to $w \leq -1$, the results of which are similar to that in -1 < w < -1/3 case. Particularly, a black hole with a deficit solid angle in accelerating universe will be a Schwarzschild-de Sitter black hole, fixing $w = -1$ and $ε^2 = 0$. And a black hole with a deficit solid angle in the accelerating universe will be a Schwarzschild black hole,when $ρ_0 = 0$ and $ε^2 = 0$. In this paper, $w$ is the parameter of state equation, $ε^2$ is a parameter relating to a deficit solid angle and $ρ_0$ is the density of static spherically symmetrical quintessence-like matter at $r = 1$.

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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