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