标题： 高斯-博内引力中$AdS$黑洞中心电荷临界性的普遍性破坏 显示英文标题

标题： Breaking of universal nature of central charge criticality in $AdS$ black holes in Gauss-Bonnet Gravity

摘要： 在本文中，我们研究了D维$AdS$时空中的Gauss-Bonnet黑洞的热力学。 在这里，宇宙学常数($\Lambda$)，牛顿引力常数($G$)和Gauss-Bonnet参数($\alpha$)在体中变化，并考虑到中心电荷($C$)（对偶边界共形理论的）及其共轭变量，利用规范-引力对偶性重新书写了混合第一定律。 在爱因斯坦引力中黑洞相变临界点附近的中心电荷的新普遍性质已在\cite{mann1}中被观察到。 我们发现，当考虑Gauss-Bonnet引力中的黑洞相变时，这种普遍性质会失效。 除此之外，根据第一定律与Smarr关系之间的一致性，将Gauss-Bonnet参数视为热力学变量，如\cite{kastori}中所建议的，会导致修正的热力学体积（与变量宇宙学常数共轭），从而为高维和高曲率引力理论中黑洞的范德瓦尔斯气体行为提供了新的理解。 我们的分析考虑了一个一般的$D$维背景。 我们随后在五维 Gauss-Bonnet 空间结构的分析中给予了更多的关注。 我们的分析还表明，中心荷的临界值的普遍性（这在四维$AdS$空间中存在），在五维$AdS$空间中即使没有 Gauss-Bonnet 引力也会失效。 这一发现表明，中心荷的普遍性可能只是四维$AdS$空间的一个特殊特征。 显示英文摘要

摘要： In this paper, we have studied the thermodynamics of Gauss-Bonnet black holes in D-dimensional $AdS$ spacetime. Here, the cosmological constant ($\Lambda$), Newton's gravitational constant ($G$) and the Gauss-Bonnet parameter ($\alpha$) are varied in the bulk, and a mixed first law is rewritten considering central charge ($C$) (of dual boundary conformal theory) and its conjugate variable utilising the gauge-gravity duality. A novel universal nature of central charge near the critical point of black hole phase transition in Einstein's gravity has been observed in \cite{mann1}. We observe that this universal nature breaks when such phase transition is considered for black holes in the Gauss-Bonnet gravity. Apart from this, treating the Gauss-Bonnet parameter as a thermodynamic variable as suggested in \cite{kastori} in light of the consistency between first law and the Smarr relation leads to modified thermodynamic volume (conjugate to variable cosmological constant), adding to a new understanding of the Van der Waals gas like behaviour of the black holes in higher dimensional and higher curvature gravity theories. Our analysis considers a general $D$ dimensional background. We have then imposed a greater focus in the analysis of the phase structure of the five dimensional Gauss-Bonnet spacetime. Our analysis also shows that the general universal nature of the critical value of the central charge (which was present in four dimensional $AdS$ spacetime), breaks down in case of five dimensional $AdS$ spacetime even in the absence of Gauss-Bonnet gravity. This finding indicates the universal nature of the central charge may be a special feature of the four dimensional $AdS$ spacetime only.