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arXiv 0806.0679gr-qcastro-phhep-th
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f(R)修正引力模型中的薄吸积盘

Thin accretion disks in f(R) modified gravity models

C. S. J. Pun, Z. Kovacs, T. Harko

摘要:

我们考虑了真空$f(R)$修正引力模型的静态球对称时空度规中物质形成薄吸积盘的基本物理性质。给出了广义引力理论的参数形式的拉格朗日量,并讨论了模型的生存条件。与广义相对论的标准Schwarzschild解相比,$f(R)$引力场方程的Schwarzschild型精确解包含一个线性增加项和一个对数修正,它依赖于四个任意的积分常数.得到了$f(R)$引力黑洞周围吸积盘的能流和发射光谱,并与广义相对论情况进行了比较。电磁波谱中可能出现特殊的特征,从而有可能利用对吸积盘发射光谱的天体物理观测直接检验修正的重力模型。

英文摘要:

We consider the basic physical properties of matter forming a thin accretion disc in the static and spherically symmetric space-time metric of the vacuum $f(R)$ modified gravity models. The Lagrangian of the generalized gravity theory is also obtained in a parametric form, and the conditions of the viability of the model are discussed. The exact Schwarzschild type solution of the gravitational field equations in the $f(R)$ gravity contains a linearly increasing term, as well as a logarithmic correction, as compared to the standard Schwarzschild solution of general relativity, and it depends on four arbitrary integration constants. The energy flux and the emission spectrum from the accretion disk around the $f(R)$ gravity black holes are obtained, and they are compared to the general relativistic case. Particular signatures can appear in the electromagnetic spectrum, thus leading to the possibility of directly testing modified gravity models by using astrophysical observations of the emission spectra from accretion disks.

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