Abstract

We study the accretion of dark matter and DE onto \((n+2)\)-dimensional Schwarzschild black holes. Since, due to the accretion process, the mass of the black hole is dynamical, so the mass and its changing rate for \((n+2)\)-dimensional Schwarzschild black holes have been found. We assume a general form of holographic DE where the dimensionless model parameter \(c\) is assumed to be variable, i.e., \(c\) is a function of redshift \(z\). We also assume seven types of parametrizations of \(c(z)\), and they are: model I (linear type), model II (CPL type), model III (JBP type), model IV (Wetterich type), model V (Efstathiou type), model VI (Ma-Jhang type), and model VII (ASSS type). The black hole mass is calculated in terms of redshift when dark matter and a general form of holographic DE accrete onto the black hole. We show that the black hole mass increases for all types of holographic dark energy candidates. The mass increasing rate sensitively depends on the space-time dimension.

中文翻译：

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某些类别的全息DE到高维Schwarzschild黑洞上的吸积

摘要

我们研究了暗物质和DE在\（（n + 2）\）维Schwarzschild黑洞上的积聚。由于由于吸积过程，黑洞的质量是动态的，因此已找到\（（n + 2）\）维Schwarzschild黑洞的质量及其变化率。我们假设全息DE的一般形式，其中无量纲模型参数\（c \）假定为变量，即\（c \）是redshift \（z \）的函数。我们还假设\（c（z）\）的七种参数化类型，它们是：I型（线性型），II型（CPL型），III型（JBP型），IV型（Wetterich型），V型（Efstathiou型），VI型（Ma-Jhang型）和VII型（ASSS型）。当暗物质和一般形式的全息DE堆积在黑洞上时，黑洞质量是根据红移来计算的。我们表明，对于所有类型的全息暗能量候选者，黑洞质量都会增加。质量增加率敏感地取决于时空维度。