AI 中文总结
研究f(R)反德西特黑洞的霍金蒸发、阴影和热涨落，用斯特藩 - 玻尔兹曼定律分析蒸发，探讨参数对阴影等的影响，还研究吸积物质及相关热力学量，揭示参数变化对黑洞稳定性和相变的作用。
AI 中文摘要
在f(R)反德西特黑洞框架内研究霍金蒸发、阴影和热涨落过程。用斯特藩 - 玻尔兹曼定律数值分析霍金蒸发过程，结果表明黑洞寿命总是无限，晚期成为遗迹，蒸发率取决于反德西特半径和耦合参数。研究了不同参数下黑洞阴影视觉特性，阴影半径随$\psi_{0}$减小、随$\lambda$增大。还研究了黑洞附近吸积物质，发现相关参数变化影响中心区域，但重要因素是光子球位置亮光子环光学外观变化。此外，讨论了多个热力学量，解释了$\lambda$和$\psi_{0}$变化对反德西特黑洞稳定性和相变的影响。
英文摘要
The process of Hawking evaporation, shadows and thermal fluctuations are investigated within the fabric of f(R) AdS Black Hole (BH). Specifically, the Hawking evaporation process is analyzed numerically using the Stefan-Boltzmann law. The results indicate that the BH lifetime is always infinite, which means the BH becomes a remnant in the late time. Additionally, the evaporation rate depends on the AdS radius and coupling parameters. We further examined the visual properties of BH shadows observed for various values of the two parameters. The results reveal that the BH shadow radius decreases with $ψ_{0}$, while it increases with $λ$. Consequently, we further investigate the infalling accretion matter in the vicinity of BHs. The results depict that while variations in relevant parameters do influence the central region, the important factor is the change in optical appearance of the bright photon ring, which is exhibited at the position of the photon sphere. Next, we discuss many thermodynamical quantities, such as temperature, entropy, Helmholtz free energy, internal energy, corrected pressure, enthalpy, Gibbs free energy and specific heat and interpret how the variations in $λ$ and $ψ_{0}$ impact on the stability and phase transitions of the AdS BHs.
Comments30 pages, 15 figures
