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arXiv 0907.1449gr-qcastro-ph.HEhep-th
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利用薄吸积盘性质检验Hoenava-Lifshitz引力

Testing Hořava-Lifshitz gravity using thin accretion disk properties

Tiberiu Harko, Zoltán Kovács, Francisco S. N. Lobo

摘要:

最近Horava提出了一个四维高空间导数的可重正化引力理论。该理论在红外区简化为具有非零宇宙学常数的爱因斯坦引力,但它改善了紫外行为。对于任意宇宙学常数的球对称黑洞解,也是标准Schwarzschild-(A)dS解的推广. Horava引力中引力场方程的精确渐近平坦Schwarzschild型解在径向坐标下包含一个二次增项和一个四阶多项式的平方根,并且它依赖于一个任意的积分常数. IR修正的Horava引力似乎与当前的观测数据一致,但为了检验其可行性,需要更多的观测约束。本文考虑利用黑洞周围的吸积盘性质来观测检验Horava引力的可能性。得到了能流、温度分布、发射光谱以及能量转换效率,并与标准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Horava重力模型。

英文摘要:

Recently, a renormalizable gravity theory with higher spatial derivatives in four dimensions was proposed by Horava. The theory reduces to Einstein gravity with a non-vanishing cosmological constant in IR, but it has improved UV behaviors. The spherically symmetric black hole solutions for an arbitrary cosmological constant, which represent the generalization of the standard Schwarzschild-(A)dS solution, has also been obtained for the Horava-Lifshitz theory. The exact asymptotically flat Schwarzschild type solution of the gravitational field equations in Horava gravity contains a quadratic increasing term, as well as the square root of a fourth order polynomial in the radial coordinate, and it depends on one arbitrary integration constant. The IR modified Horava gravity seems to be consistent with the current observational data, but in order to test its viability more observational constraints are necessary. In the present paper we consider the possibility of observationally testing Horava gravity by using the accretion disk properties around black holes. The energy flux, temperature distribution, the emission spectrum as well as the energy conversion efficiency are obtained, and compared to the standard general relativistic case. Particular signatures can appear in the electromagnetic spectrum, thus leading to the possibility of directly testing Horava gravity models by using astrophysical observations of the emission spectra from accretion disks.

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