论文标题
Alpha Prime在Alpha Prime的第一阶黑洞的第一定律和WALD熵公式
The first law and Wald entropy formula of heterotic stringy black holes at first order in alpha prime
论文作者
论文摘要
我们在杂质超弦的有效作用的背景下得出了黑洞力学的第一定律，使用瓦尔德的形式主义在阿尔法素数中进行了第一阶。我们仔细考虑了该理论的所有对称性，因此，我们获得了明显的规格和洛伦兹 - 不变性熵公式，其中所有术语都可以明确计算。具有这些属性的熵公式可以在Alpha Prime中对宏观黑洞熵的明确计算，可以可靠地与微观相比较。文献中仍然缺乏这样的公式。在证明中，我们使用动量图来定义协方差变化和谎言衍生物，并\ textit {限制的广义零法则}，该}陈述了分叉球体上某些差异形式的封闭性，并暗示其在其上相关电位的恒定性。我们研究了文献中使用的熵公式与其他公式之间的关系。
We derive the first law of black hole mechanics in the context of the Heterotic Superstring effective action to first order in alpha prime using Wald's formalism. We carefully take into account all the symmetries of the theory and, as a result, we obtain a manifestly gauge- and Lorentz-invariant entropy formula in which all the terms can be computed explicitly. An entropy formula with these properties allows unambiguous calculations of macroscopic black-hole entropies to first order in alpha prime that can be reliably used in a comparison with the microscopic ones. Such a formula was still lacking in the literature. In the proof we use momentum maps to define covariant variations and Lie derivatives and \textit{restricted generalized zeroth laws} which state the closedness of certain differential forms on the bifurcation sphere and imply the constancy of the associated potentials on it. We study the relation between our entropy formula and other formulae that have been used in the literature.
