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arXiv 0902.1569gr-qcastro-ph.HEhep-th
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另类理论中的黑洞是天体物理学上的重要候选者吗?Einstein-Dilaton-Gauss-Bonnet黑洞

Are black holes in alternative theories serious astrophysical candidates? The case for Einstein-Dilaton-Gauss-Bonnet black holes

Paolo Pani, Vitor Cardoso

摘要:

人们普遍认为,爱因斯坦的理论将得到一些未知的修正,在强场区域可能很大。寻找这些变化的一个理想场所是在致密物体(如黑洞)附近。我们在这里的案例研究是膨胀黑洞,它出现在高斯-博内耦合和一圈校正的四维有效理论的杂合超弦在低能量的框架。这些都是有趣的物体,作为替代的原型,但表现良好的引力理论:它们避开了广义相对论的“无毛”定理,但被证明对径向扰动是稳定的。我们研究了这些黑洞作为天体物理对象的可行性,并试图提供一些方法来区分它们与广义相对论中的黑洞。我们首先扩展以前的工作,并建立这些黑洞对轴向扰动的稳定性。然后,我们寻找解决方案的场方程描述缓慢旋转的黑洞和研究测地运动围绕这个几何形状。根据溶液的质量、介子电荷和角动量的值,相对于广义相对论中的黑洞,人们可以在ISCO位置和轨道频率上有可测量的差异。这种差异在未来的实验中可能是有用的,以区分不同的引力理论。

英文摘要:

It is generally accepted that Einstein's theory will get some as yet unknown corrections, possibly large in the strong field regime. An ideal place to look for these modifications is around the vicinities of compact objects such as black holes. Our case study here are Dilatonic Black Holes, which arise in the framework of Gauss-Bonnet couplings and one-loop corrected four-dimensional effective theory of heterotic superstrings at low energies. These are interesting objects as a prototype for alternative, yet well-behaved gravity theories: they evade the "no-hair" theorem of General Relativity but were proved to be stable against radial perturbations. We investigate the viability of these black holes as astrophysical objects and try to provide some means to distinguish them from black holes in General Relativity. We start by extending previous works and establishing the stability of these black holes against axial perturbations. We then look for solutions of the field equations describing slowly rotating black holes and study geodesic motion around this geometry. Depending on the values of mass, dilaton charge and angular momentum of the solution, one can have measurable differences in the ISCO location and orbital frequency, relatively to black holes in General Relativity. Such differences may be useful in future experiments, to discriminate between alternative theories of gravity.

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