论文标题
Newman-Unti-Tamburino类黑洞的区域（或熵）产品
Area (or entropy) products for Newman-Unti-Tamburino class of Black Holes
论文作者
论文摘要
我们计算纽曼 - tamburino（螺母）黑洞类别的产品公式（或熵）产品公式。 Specifically, we derive the area product of outer horizon and inner horizon (${ \mathcal{H}}^{\pm }$) for Taub-NUT, Euclidean Taub-NUT black hole, Reissner-Nordström--Taub-NUT black hole, Kerr-Taub-NUT black hole and Kerr-Newman-Taub-NUT black hole under the formalism developed very recently by Wu et al. \ cite {wu} [prd 100，101501（r）（2019）]。形式主义是，应完全用三或四种不同类型的热力学毛发完全描述一个通用的四维taub-nut时空。它们被定义为Komar质量（$ M = M $），角动量（$ j_ {n} = m \，n $），引力电荷（$ n = n $），双（磁性）质量$（\ tilde {m} = n）$。结合了这种形式主义后，我们表明，黑洞的螺母类别的两个地平线的面积（或熵）是\ emph {mass-nistepentent}。因此，这些黑洞的$ {\ Mathcal {h}}^{\ pm} $的面积产品是\ emph {Universal}。以前在文献中知道，所述黑洞的面积是\ emph {质量依赖性}。最后，我们可以说，这种普遍性仅是由于\ emph {新保守费用$ j_ {n} = m \，n $}的存在，它与kerr的类似物（如Angular Mommentum $ j = a \ a \，m $）非常相似。
We compute area (or entropy) product formula for Newman-Unti-Tamburino (NUT) class of black holes. Specifically, we derive the area product of outer horizon and inner horizon (${ \mathcal{H}}^{\pm }$) for Taub-NUT, Euclidean Taub-NUT black hole, Reissner-Nordström--Taub-NUT black hole, Kerr-Taub-NUT black hole and Kerr-Newman-Taub-NUT black hole under the formalism developed very recently by Wu et al. \cite{wu} [PRD 100, 101501(R) (2019)]. The formalism is that a generic four dimensional Taub-NUT spacetime should be described completely in terms of three or four different types of thermodynamic hairs. They are defined as the Komar mass ($M=m$), the angular momentum ($J_{n}=m\,n$), the gravitomagnetic charge ($N=n$), the dual (magnetic) mass $(\tilde{M}=n)$. After incorporating this formalism, we show that the area (or entropy) product of both the horizons for NUT class of black holes are \emph{mass-independent}. Consequently, the area product of ${\mathcal{H}}^{\pm }$ for these black holes are \emph{universal}. Which was previously known in the literature that the area product of said black holes are \emph{mass-dependent}. Finally, we can say that this universality is solely due to the presence of \emph{new conserved charges $J_{N}=M\,N$} which is closely analogue to the Kerr like angular momentum $J=a\,M$.
