标题： 暗能量背景下Reissner-Nordstrom黑洞 显示英文标题

标题： Reissner-Nordstrom black hole in dark energy background

摘要： 本文提出了一种爱因斯坦场方程的定态解，描述了暗能量背景下Reissner-Nordstrom黑洞。可以认为是将Reissner-Nordstrom黑洞嵌入到暗能量解中，形成Reissner-Nordstrom-暗能量黑洞。 我们发现Reissner-Nordstrom-暗能量解的时空几何在时空分类中属于Petrov类型$D$。 还表明嵌入的时空具有电磁场的能量-动量张量，该电磁场与具有负压强的暗能量相互作用。 我们发现由于负压强，暗能量的能量-动量张量违反了强能量条件，而电磁场的能量-动量张量则服从强能量条件。 文中指出Reissner-Nordstrom-暗能量空间中的观察者的时间型矢量场是膨胀的、加速的、剪切的且非旋转的。 我们研究了嵌入暗能量黑洞视界的表面引力。 基于de Sitter解的相对论暗能量的特征性质在附录中进行了讨论。 显示英文摘要

摘要： In this paper we propose a stationary solution of Einstein's field equations describing Reissner-Nordstrom black hole in dark energy background. It is to be regarded as the Reissner-Nordstrom black hole is embedded into the dark energy solution producing Reissner-Nordstrom-dark energy black hole. We find that the space-time geometry of Reissner-Nordstrom-dark energy solution is Petrov type $D$ in the classification of space-times. It is also shown that the embedded space-time possesses an energy-momentum tensor of the electromagnetic field interacting with the dark energy having negative pressure. We find the energy-momentum tensor for dark energy violates the the strong energy condition due to the negative pressure, whereas that of the electromagnetic field obeys the strong energy condition. It is shown that the time-like vector field for an observer in the Reissner-Nordstrom-dark energy space is expanding, accelerating, shearing and non-rotating. We investigate the surface gravity of the horizons for the embedded dark energy black hole. The characteristic properties of relativistic dark energy based on the de Sitter solution is discussed in an appendix.