标题： 塔布-波尔特解的熵 显示英文标题

标题： The Entropy of Taub-Bolt Solution

摘要： 通过诺特定理在广义相对论中定义熵的几何框架被简要回顾，然后作为应用得到了爱因斯坦方程的Taub-Bolt欧几里得解的熵。 计算得到的熵与之前通过统计方法获得的结果一致。 人们普遍认为，由于该解的奇点结构特殊，无法通过诺特定理计算Taub-Bolt解的熵。 我们在这里证明这是不正确的。 实际上考虑了Misner字符串奇点，并分析了其对熵的贡献。 结果表明，在我们的框架中，熵并不遵循“四分之一面积定律”，并且与视界没有直接关系，这与当前相关文献中有时错误提出的观点不同。 显示英文摘要

摘要： A geometrical framework for the definition of entropy in General Relativity via Noether theorem is briefly recalled and the entropy of Taub-Bolt Euclidean solutions of Einstein equations is then obtained as an application. The computed entropy agrees with previously known results, obtained by statistical methods. It was generally believed that the entropy of Taub-Bolt solution could not be computed via Noether theorem, due to the particular structure of singularities of this solution. We show here that this is not true. The Misner string singularity is, in fact, considered and its contribution to the entropy is analyzed. As a result, in our framework entropy does not obey the "one-quarter area law" and it is not directly related to horizons, as sometimes erroneously suggested in current literature on the subject.