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arXiv 1102.0916astro-ph.COgr-qchep-th
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类Yukawa引力势对星系晕参数的系统偏差

Systematic biases on galaxy haloes parameters from Yukawa-like gravitational potentials

V. F. Cardone, S. Capozziello

摘要:

一个可行的替代暗能量作为宇宙加速问题的解决方案是引力扩展理论。如果情况确实如此,不仅会对宇宙学尺度产生影响,而且会对任何尺度产生影响,从太阳系到河外星系。特别是,在计算螺旋星系旋转曲线的圆速度时,引力势可以不同于牛顿引力势。唯象建模修改后的质点势的总和牛顿和汤川一样的校正,我们模拟观察到的旋转曲线的螺旋星系描述为一个指数盘和NFW暗物质晕的总和。然后,我们拟合这些曲线,假设参数化的晕模型(无论是内部尖点或核心),并使用牛顿势估计的理论旋转曲线。这样的研究,使我们能够调查的偏见的光盘和晕模型参数所引起的系统误差所引起的重力理论是牛顿的,当它不是。作为一个一般的结果,我们发现,这两个晕尺度长度和维里质量显着高估,而光盘光学半径内的暗物质质量分数通常被低估。此外,如果汤川标度长度小于盘的半质量半径,那么晕密度分布的对数斜率将比NFW的对数斜率更浅。最后,核心模型能够很好地拟合模拟的旋转曲线,提供光盘质量偏高与文献中的结果一致,有利于核心晕和最大光盘。这样的结果使我们认为,尖点/核心的争论实际上可能是一个错误的假设的结果,在计算理论圆周速度时必须实际使用哪种引力理论。

英文摘要:

A viable alternative to the dark energy as a solution of the cosmic speed up problem is represented by Extended Theories of Gravity. Should this be indeed the case, there will be an impact not only on cosmological scales, but also at any scale, from the Solar System to extragalactic ones. In particular, the gravitational potential can be different from the Newtonian one commonly adopted when computing the circular velocity fitted to spiral galaxies rotation curves. Phenomenologically modelling the modified point mass potential as the sum of a Newtonian and a Yukawa like correction, we simulate observed rotation curves for a spiral galaxy described as the sum of an exponential disc and a NFW dark matter halo. We then fit these curves assuming parameterized halo models (either with an inner cusp or a core) and using the Newtonian potential to estimate the theoretical rotation curve. Such a study allows us to investigate the bias on the disc and halo model parameters induced by the systematic error induced by forcing the gravity theory to be Newtonian when it is not. As a general result, we find that both the halo scale length and virial mass are significantly overestimated, while the dark matter mass fraction within the disc optical radius is typically underestimated. Moreover, should the Yukawa scale length be smaller than the disc half mass radius, then the logarithmic slope of the halo density profile would turn out to be shallower than the NFW one. Finally, cored models are able to fit quite well the simulated rotation curves, provided the disc mass is biased high in agreement with the results in literature, favoring cored haloes and maximal discs. Such results make us argue that the cusp/core controversy could actually be the outcome of an incorrect assumption about which theory of gravity must actually be used in computing the theoretical circular velocity.

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