论文标题

黑洞至白洞I.完整的准古典模型

Black holes to white holes I. A complete quasi-classical model

论文作者

Bardeen, James M.

论文摘要

这是两篇论文中的第一篇,呈现出不同版本的准经典玩具模型,用于几何形状的非单明性演化以及相关的有效应力 - 能量张量,用于球形对称的黑洞,该黑洞在蒸发到普朗克量表后最终消失了,最终消失了。几何图形的ANSATZ的灵感来自Schwarzschild背景中半经典应力 - 能量张量的计算,以及从环量子重力到白孔的量子重力的想法。在本文中,主要重点是黑洞的演变,而白洞的演变本质上是黑洞的时间反向。霍金“伙伴”的负能量从白洞流出到未来的无限无限。当物质和辐射崩溃以形成黑洞时,白洞就消失了。我讨论了该模型与文献中提出的一些量子能条件的兼容性,并简要地说明了对黑洞熵的解释的影响。第二篇论文考虑了如何修改白洞的演化,以避免长时间的负能量发射。

This is the first of two papers presenting different versions of quasi-classical toy models for the non-singular evolution of the geometry and the associated effective stress-energy tensor for a spherically symmetric black hole that evolves into a white hole and eventually disappears after evaporating down to the Planck scale. The ansatz for the geometry is inspired by calculations of the semi-classical stress-energy tensor in the Schwarzschild background and ideas from loop quantum gravity for a nonsingular transition to the white hole. In this paper the main emphasis is on the evolution of the black hole, and the evolution of the white hole is assumed to be essentially the time reverse of that of the black hole. The negative energy of the Hawking "partners" flows out of the white hole to future null infinity. The white hole disappears when the matter and radiation that collapsed to form the black hole emerges. I discuss the compatibility of the model with some of the quantum energy conditions proposed in the literature, and, briefly, the implications for the interpretation of black hole entropy. The second paper considers how the evolution of the white hole can be modified to avoid prolonged emission of negative energy.

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