论文标题
几何和热力学的毛状黑色麸皮
Geometric and Thermodynamic Volume of Hairy Black Branes
论文作者
论文摘要
为了概括一些针对少数显式溶液的先前结果，我们研究了在D维渐近抗DE的抗DE抗DE抗DE抗DE抗DE的空位中，黑色砖的扩展热力学具有最小耦合的标量头发。使用科马尔整合和哈密顿形式主义来计算保守的电荷，我们获得了适用于多种解决方案的SMARR关系，并提出了对热力学体积的更一般的定义。发现该体积与几何体积成正比，并给出了简单的处方来计算比例的常数。此外，哈密顿扰动的方法产生了毛茸茸的黑麸皮的热力学第一定律，从而为它们的焓提供了定义。然后，通过将它们应用于文献中存在的某些明确解决方案来验证这些结果。
With the objective to generalize previous results found for a handful of explicit solutions, we study the extended thermodynamics of a black brane with minimally coupled scalar hair in D-dimensional asymptotically anti-de Sitter spacetimes. Using Komar integration and the Hamiltonian formalism to calculate the conserved charges, we obtain a Smarr relation that is applicable to a wide variety of solutions and suggests a more general definition of the thermodynamic volume. This volume is found to be proportional to the geometric volume, and a simple prescription is given to calculate the constant of proportionality. Moreover, the method of Hamiltonian perturbations yields an extended first law of thermodynamics for hairy black branes, thus giving a definition for their enthalpy. These results are then verified by applying them to some of the explicit solutions that exist in the literature.
