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arXiv 0705.0618astro-ph
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黑洞质量-球体光度关系

The Black Hole Mass - Spheroid Luminosity relation

Alister W. Graham

摘要:

本文研究了McLure & Dunlop,Marconi & Hunt和Erwin等人提出的M_bh-光度关系。这些研究中的每一项都确定并解决了许多问题,包括但不限于:消除对哈勃常数的依赖性;对盘状星系凸起中尘埃衰减的校正;识别以前被视为椭圆星系的透镜状星系;以及同样的应用(Y|(X)回归分析。这些调整导致了现在预测类似黑洞质量的关系。最佳K波段关系为log(M_bh/M_sun)= -0.37(+/-0.04)[M_K +24]+8.29(+/-0.08),log M_bh中的总(非本征)散射等于0.33 dex。这种分散程度与Tremaine等人的M_bh-sigma关系式中的0.34 dex值相似,并且与Graham & Driver的M_bh-n关系式中的0.31 dex值相比是有利的。使用不同的光度数据,也提供了B和R波段的一致关系,尽管我们注意到Erwin等人使用的小(N=13)R波段样本在这里发现具有-0.30(+/-0.06)的斜率和0.31 dex的总散射。对较大的K波段样本进行对称回归得到斜率为-0.40,意味着M_bh ~ L^{1.00}。银河系黑洞共同进化的影响,在干合并方面,进行了简要的讨论,是中等质量的黑洞的预测。最后,正如Tundo等人先前指出的,给出了用于定义M_bh-L关系的星系样本中的潜在偏差,并给出了修正公式。

英文摘要:

The differing M_bh-Luminosity relations presented in McLure & Dunlop, Marconi & Hunt and Erwin et al. have been investigated. A number of issues have been identified and addressed in each of these studies, including but not limited to: the removal of a dependency on the Hubble constant; a correction for dust attenuation in the bulges of disc galaxies; the identification of lenticular galaxies previously treated as elliptical galaxies; and application of the same (Y|X) regression analysis. These adjustments result in relations which now predict similar black hole masses. The optimal K-band relation is log(M_bh/M_sun) = -0.37(+/-0.04)[M_K +24] + 8.29(+/-0.08), with a total (not intrinsic) scatter in log M_bh equal to 0.33 dex. This level of scatter is similar to the value of 0.34 dex from the M_bh-sigma relation of Tremaine et al. and compares favourably with the value of 0.31 dex from the M_bh-n relation of Graham & Driver. Using different photometric data, consistent relations in the B- and R-band are also provided, although we do note that the small (N=13) R-band sample used by Erwin et al. is found here to have a slope of -0.30(+/-0.06) and a total scatter of 0.31 dex. Performing a symmetrical regression on the larger K-band sample gives a slope of -0.40, implying M_bh ~ L^{1.00}. Implications for galaxy-black hole coevolution, in terms of dry mergers, are briefly discussed, as are predictions for intermediate mass black holes. Finally, as previously noted by Tundo et al., a potential bias in the galaxy sample used to define the M_bh-L relations is shown and a corrective formula provided.

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