Kiselev黑洞的热力学性质和物质吸积特性

本文考虑带有黑洞视界和宇宙视界的Kiselev时空.研究以黑洞视界和宇宙视界为边界的系统的热力学性质.统一地给出了两个系统的热力学第一定律;在黑洞视界半径远小于宇宙视界半径的情况下,近似地计算了通过宇宙视界和黑洞视界的热能.然后,探讨Kiselev时空的物质吸积特性.在吸积能量密度正比于背景能量密度的条件下给出黑洞的吸积率,讨论了黑洞吸积率与暗能量态方程参数的关系.

Thermodynamic properties and matter accretion properties of Kiselev black hole

Kiselev black hole possesses the two horizons, i.e. the inner horizon and outer horizon. In some cases, the so-called outer horizon of black hole is actually a cosmic horizon. In this paper, Kiselev space-time with black hole horizon and cosmic horizon is considered. The radius of black hole horizon and the radius of cosmic horizon are approximately obtained to be $r_{rm B} approx 2M left[ 1 + left(2M/{lambda}right)^{-(3w_{rm {rm q}}+1)} right]$ and $r_{rm C} approx lambda + dfrac{2M} {3w_{rm {rm q}}+1}$ with $M ll lambda$ and $w_{rm q}$ a parameter. The energy density of the Kiselev spacetime near the cosmic horizon is approximately proportional to $w_{rm q}$, so the energy densities with some different $ w_{rm q}$ have the same order of magnitude in the range $-1