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Quasinormal modes and spectroscopy of a Schwarzschild black hole surrounded by a cloud of strings in Rastall gravity

机译:施瓦茨柴尔氏黑洞的思脉围绕rastall重力

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We obtain the solution of a static spherically symmetric black hole surrounded by a cloud of strings in Rastall gravity and study the influence of the parameter a associated with strings on the event horizon and the Hawking temperature. Through analyzing the black hole metric, we find that the static spherically symmetric black hole solution surrounded by a cloud of strings in Rastall gravity can be transformed into the static spherically symmetric black hole solution surrounded by quintessence in Einstein gravity when the parameter β of Rastall gravity is positive, which provides a possibility for the string fluid to be a candidate of dark energy. We use the method of Regge and Wheeler together with the high order WKB-Padé approximation to calculate the quasinormal mode frequencies of the odd parity gravitational perturbation and simultaneously apply the unstable null geodesics of black holes to compute the quasinormal mode frequencies at the eikonal limit for this black hole model. The results show that the increase of the parameter a makes the gravitational wave decay slowly in Rastall gravity. In addition, we utilize two methods, which are based on the adiabatic invariant integral and the periodic property of outgoing waves, respectively, to derive the area spectrum and entropy spectrum of the black hole model. The results show that the area spectrum and entropy spectrum are equidistant spaced. The former is the same as the case of Einstein gravity, while the latter is different, depending on the Rastall parameter β .
机译:我们通过Rastall Gravity中的弦云围绕的静态球形对称黑洞的解决方案,并研究参数A与字符串上的参数A对活动范围和霍克宁温度的影响。通过分析黑洞度量,我们发现,当Rastall重力的参数β的参数β时,可以将由Rastall Gravity云围绕的横弦云围绕的横向球形围绕的静态对称黑洞溶液转换为Quintessein重力的静态球形重力。是阳性的,这为串流体提供了一种彩色污物的可能性。我们将Regge和Wheeler的方法与高阶WKB-Padé近似值一起计算奇数奇偶校验重力扰动的正式模式频率,并同时应用黑洞的不稳定空音测量仪来计算eikonal限制的正种模式频率。这个黑洞模型。结果表明,参数A的增加使得重力衰减在拉斯特拉重力中。此外,我们使用两种方法,它们分别基于绝热不变积分和传出波的周期性,以导出黑洞模型的面积频谱和熵谱。结果表明,面积谱和熵光谱是等距的间隔。前者与爱因斯坦重力的情况相同,而后者是不同的,这取决于rastall参数β。

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