发表机构
Faculty of Environmental and Natural Sciences, Duy Tan University（环境与自然科学学院，岘港大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究旋转正则黑洞蒸发末期霍金辐射的广义熵，通过将黑洞质量表示为\(m_{\rm ext}+\alpha\)，基于熵非负假设确定\(\alpha\)下限，发现黑洞质量有下限\(m_{\rm ext}+\alpha_1\)，即蒸发末期出现残余。
AI 中文摘要
我们通过将黑洞质量写为\(m_{\rm ext}+\alpha\)来表示蒸发旋转正则黑洞末期霍金辐射的广义熵，其中\(m_{\rm ext}\)表示极端极限下的质量，\(\alpha\)是一个参数。基于熵非负这一事实，假设在本研究的广义熵中，面积项和修正项的贡献符号在黑洞整个蒸发过程中不变。将修正项消失时的\(\alpha\)视为下限并确定它。结果发现这样的\(\alpha\)值是有限的，记为\(\alpha_1\)，这表明黑洞质量不能小于\(m_{\rm ext}+\alpha_1\)，可解释为黑洞蒸发末期出现残余。本研究的黑洞是旋转正则黑洞，正则化是因为中心区域精细结构在蒸发末期变得重要，考虑旋转黑洞是出于一般性。
英文摘要
We express the generalized entropy (GE) of the Hawking radiation in the final stage of an evaporating rotating regular black hole (BH) by writing the mass of the BH as $m_{\rm ext} + α$, where $m_{\rm ext}$ represents the mass at the extremal limit and $α$ is a parameter. Generally, entropy is non-negative. Based on this fact, we assume that, in the GE considered in this study, the signs of the contributions from the area term and the correction term remain unchanged throughout the entire evaporation process of the BH. Therefore, we regard $α$ at which the correction term vanishes as its lower bound and determine it. As a result, we find that such a value of $α$ is finite. Denoting this value by $α_2$, this result indicates that the mass of the BH cannot become smaller than $m_{\rm ext} + α_2$, which can be interpreted as the emergence of a remnant at the final stage of BH evaporation. The BH considered in this study is a rotating regular BH. The regularization is motivated by the possibility that the fine structure of the central region becomes relevant in the final stage of evaporation. A rotating BH is considered from the viewpoint of generality.
Comments30 pages; v2: The descriptions in Secs. 2 and 6 were revised
