论文标题
正规化歧义和范德华在2+1维度中的黑洞
Regularization ambiguity and van der Waals black hole in 2+1 dimensions
论文作者
论文摘要
在A（$ 2+1 $）中充电的黑洞 - 尺寸反DE保姆时空时空受到某些限制，例如质量定义的歧义和不良的短距离行为。在本文中，我们提出了一种解决此类问题的方法。通过扩展BTZ几何形状的参数空间，我们正确识别了集成常数，以删除位于原点的圆锥形奇异性。在这种方式中，我们获得了明确定义的Minkowski限制，并且在De Sitter背景空间的情况下也获得了视野。在热力学方面，即使质量参数未出现在度量系数中，我们也可以通过调用与区域定律的一致性来获得适当的内部能量。作为进一步的改进，我们表明，足以假设有限的电荷大小以获得短尺度的常规几何形状。概括带电的BTZ度量的最终解决方案对范德华气体是双重的。
Charged black holes in a ($2+1$)-dimensional anti-de Sitter space-time suffer from some limitations such as the ambiguity in the definition of the mass and the bad short distance behavior. In this paper we present a way to resolve such issues. By extending the parameter space of the BTZ geometry, we properly identify the integration constants in order to remove the conical singularity sitting at the origin. In such a way we obtain a well defined Minkowski limit and horizons also in the case of de Sitter background space. On the thermodynamic side, we obtain a proper internal energy, by invoking the consistency with the Area Law, even if the mass parameter does not appear in the metric coefficients. As a further improvement, we show that it is sufficient to assume a finite size of the electric charge to obtain a short scale regular geometry. The resulting solution, generalizing the charged BTZ metric, is dual to a van der Waals gas.
