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arXiv 1708.04066hep-thgr-qc
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Reissner Nordström黑洞的非对易标量拟正规模

Noncommutative Scalar Quasinormal Modes of the Reissner Nordström Black Hole

Marija Dimitrijević Ćirić, Nikola Konjik, Andjelo Samsarov

摘要:

为了寻找时空非对易性的信号,我们研究了存在形变时空结构的Reissner Nordström黑洞的拟正规模谱.在这种情况下,我们研究了一个标量场的非对易(NC)变形,最低限度地耦合到一个经典的Reissner Nordström背景。因此,我们的模型从一开始就是半经典的,而且标量场与U(1)规范场的耦合是极小的。通过特别选择的Killing扭曲来进行变形,以产生作用量的几何形式,该作用量保持了变形的规范对称性群下的不变性。我们发现,在某些特定的系统参数范围内,对应于一个接近极值极限的运动方程的拟正规模式的解决方案,该模型的物质含量。此外,我们得到了一个定义良好的分析条件,允许详细的数值分析。此外,存在一个参数范围,而限制,这允许获得一个封闭的分析形式的QNM频谱。我们还认为,在半经典的方法,NC变形不影响热辐射的霍金温度。

英文摘要:

Aiming to search for a signal of space-time noncommutativity, we study a quasinormal mode spectrum of the Reissner Nordström black hole in the presence of a deformed space-time structure. In this context we study a noncommutative (NC) deformation of a scalar field, minimally coupled to a classical Reissner Nordström background. Our model is thus semiclassical from the beginning and scalar field is in addition minimally coupled to U(1) gauge field. The deformation is performed via particularly chosen Killing twist to yield a geometrical form of the action, which maintains the diffeomorphism invariance manifest, as well as the invariance under a deformed gauge symmetry group. We find the quasinormal mode solutions of the equations of motion governing the matter content of the model in some particular range of system parameters which corresponds to a near extremal limit. In addition, we obtain a well defined analytical condition which allows for a detailed numerical analysis. Moreover, there exists a parameter range, rather restrictive though, which allows for obtaining a QNM spectrum in a closed analytic form. We also argue within a semiclassical approach that NC deformation does not affect the Hawking temperature of thermal radiation.

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