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首页> 外文期刊>Physics Letters, B. Nuclear Physics and High Energy Physics >Quantum gravity predictions for black hole interior geometry
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Quantum gravity predictions for black hole interior geometry

机译：黑洞内部几何的量子重力预测

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In a previous work we derived an effective Hamiltonian constraint for the Schwarzschild geometry starting from the full loop quantum gravity Hamiltonian constraint and computing its expectation value on coherent states sharply peaked around a spherically symmetric geometry. We now use this effective Hamiltonian to study the interior region of a Schwarzschild black hole, where a homogeneous foliation is available. Descending from the full theory, our effective Hamiltonian, though still bearing the well known ambiguities of the quantum Hamiltonian operator, preserves all relevant information about the fundamental discreteness of quantum space. This allows us to have a uniform treatment for all quantum gravity holonomy corrections to spatially homogeneous geometries, unlike the minisuperspace loop quantization models in which the effective Hamiltonian is postulated. We show how, for several geometrically and physically well motivated choices of coherent states, the classical black hole singularity is replaced by a homogeneous expanding Universe. The resultant geometries have no significant deviations from the classical Schwarzschild geometry in the pre-bounce sub-Planckian curvature regime, evidencing the fact that large quantum effects are avoided in these models. In all cases, we find no evidence of a white hole horizon formation. However, various aspects of the post-bounce effective geometry depend on the choice of quantum states. (C) 2019 The Author(s). Published by Elsevier B.V.
机译：在以前的工作中，我们为施瓦茨柴尔尔的几何图中出发，从全环量子重力哈密尔顿约束开始，从围绕球形对称几何达到尖锐的尖峰达到尖锐的状态，计算其期望值的有效汉密尔顿的约束。我们现在使用这种有效的汉密尔顿人来研究Schwarzschild黑洞的内部区域，其中可获得均匀的叶子。从完全理论下降，我们有效的哈密顿人，尽管仍然具有众所周知的量子哈密顿运营商的富有歧义，请保留有关量子空间基本离散的所有相关信息。这使我们可以使所有量子重力全体校正到空间均匀几何形状的均匀处理，不同于MiniSupersPace环路量化模型，其中有效的Hamiltonian被假设。我们展示了如何为几何和身体上良好的连贯状态选择，经典的黑洞奇点由均匀的扩张宇宙所取代。所得几何形状没有与前反弹次普朗克曲率制度中的古典施瓦茨柴尔德几何形状没有显着偏差，证明在这些模型中避免了大量效应的事实。在所有情况下，我们发现没有证据表明白洞地平线形成。然而，后反弹后的各个方面有效几何形状取决于量子态的选择。 （c）2019年作者。由elsevier b.v出版。

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