We investigate here the thermal properties of accretion disks in a spacetime for some galactic density profiles in spherical symmetry. The matter distributions have a finite outer radius with a naked central singularity. The luminosities of the accretion disks for some density profile models are found to be higher than those for a Schwarzschild black hole of the same mass. The slopes for the luminosity distributions with respect to frequencies are significantly different, especially at higher frequencies, from that in the Schwarzschild black hole case. Such features may be used to distinguish black holes from naked singularities. The efficiencies for the conversion of the mass energy of the accreting gas into radiation and the strength of naked singularities are analyzed. The novel feature that we find is, the strength of the singularity is different depending on the profiles considered, and the stronger the singularity is, the higher is the efficiency for the accretion disk.

中文翻译：

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裸奇点周围的吸积盘

我们在这里研究了一些球对称星系密度分布的吸积盘在时空中的热性质。物质分布具有有限的外半径和裸露的中心奇点。发现某些密度剖面模型的吸积盘的光度高于相同质量的史瓦西黑洞的光度。相对于频率的光度分布的斜率与 Schwarzschild 黑洞情况下的斜率显着不同，尤其是在较高频率下。这些特征可用于区分黑洞和裸奇点。分析了吸积气体的质量能量转化为辐射的效率和裸奇点的强度。我们发现的新颖特征是，