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首页> 外文期刊>International journal of modern physics, D. Gravitation, astrophysics, cosmology >Hollowgraphy driven holography: Black hole with vanishing volume interior
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Hollowgraphy driven holography: Black hole with vanishing volume interior

机译:空心照相全息术:内部空间消失的黑洞

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Hawking-Bekenstein entropy formula seems to tell us that no quantum degrees of freedom can reside in the interior of a black hole. We suggest that this is a consequence of the fact that the volume of any interior sphere of finite surface area simply vanishes. Obviously, this is not the case in general relativity. However, we show that such a phenomenon does occur in various gravitational theories which admit a spontaneously induced general relativity. In such theories, due to a phase transition (one-parameter family degenerates) which takes place precisely at the would-have-been horizon, the recovered exterior Schwarzschild solution connects, by means of a self-similar transition profile, with a novel "hollow" interior exhibiting a vanishing spatial volume and a locally varying Newton constant. This constitutes the so-called "hollowgraphy" driven holography.
机译:Hawking-Bekenstein熵公式似乎告诉我们,黑洞内部不能存在任何量子自由度。我们建议这是以下事实的结果:有限表面积的任何内部球体的体积都会消失。显然,广义相对论并非如此。但是,我们表明这种现象确实发生在各种引力理论中,这些理论承认自发地引起了广义相对论。在这种理论中,由于恰好在预期的地平线上发生了相变(一参数族退化),因此,回收的外部Schwarzschild解通过自相似的过渡曲线与新颖的“空心”内部空间的消失和牛顿常数的局部变化。这构成了所谓的“空心照相术”驱动的全息术。

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