论文标题

Schwarzschild黑洞,岛屿和Virasoro代数

Schwarzschild black holes, Islands and Virasoro algebra

论文作者

Stepanenko, Daniil, Volovich, Igor

论文摘要

当一个人获得Minkowski空间时,Schwarzschild Black Black Hole度量标准的质量是消失的质量。我们通过使用岛屿公式和消失的黑洞质量的极限研究纠缠熵的行为。如果人们认为降低其质量,则会出现黑洞信息问题。最近注意到的是,永恒黑洞的公式导致纠缠熵的增加,当$ m \至0 $时,这是单数的。 In this process, it arises the other problem of the Schwarzschild black hole explosion, as the black hole temperature blows up as the mass vanishes.We show that it is possible to solve the entropy explosion for small masses, if one admit the following bound: $c<AM$ where $c$ is central charge of the Virasoro algebra, M is black hole mass and A is positive constant.我们正在研究应用这种机制来计算有或没有岛屿的熵的可能性。结果表明,应用中央电荷对黑洞质量的依赖性的机理使我们在不使用岛屿的情况下获得了类似的页面曲线。

The Schwarzschild black hole metric with mass $M$ has the limit of the vanishing mass when one get the Minkowski space. We study behavior of the entanglement entropy by using the island formula and the limit of the vanishing black hole mass. The black hole information problem appears if one considers the lowering its mass. It was noted recently that the formula derived for eternal black holes leads to an increase of the entanglement entropy, which is singular when $M \to 0$. In this process, it arises the other problem of the Schwarzschild black hole explosion, as the black hole temperature blows up as the mass vanishes.We show that it is possible to solve the entropy explosion for small masses, if one admit the following bound: $c<AM$ where $c$ is central charge of the Virasoro algebra, M is black hole mass and A is positive constant. We are examining the possibilities of applying such a mechanism to calculate entropy with and without an island. It was shown that applying the mechanism of the dependence of the central charge on the black hole mass allows us to obtain a similar Page curve without using an island.

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