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arXiv 2202.08442gr-qc
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2-2-简化孔系

2-2-holes simplified

Bob Holdom

摘要:

二次引力说明了黑洞的替代品如何从引力的紫外线完成中出现。2-2-黑洞是非常紧凑的无水平线物体,由于被捕获的正常物质而具有熵$S_{22}$,并且以这种方式,它们在概念上容易理解。但是场方程是繁琐的,并且数值分析到目前为止仅限于相对小尺寸的解。在这里,我们将展示如何找到任意大的2-2-洞的属性,包括引力波回波的时间延迟和结果$T_\infty S_{22}=M/2$。出发点是用乌龟坐标来表示度量,并使两个度量函数中的一个是共形因子。大的保形相关体积与2-2孔的内部相关联。我们还讨论了弱引力猜想的影响。

英文摘要:

Quadratic gravity illustrates how a replacement for black holes can emerge from a UV completion of gravity. 2-2-holes are extremely compact horizonless objects with an entropy $S_{22}$ due to trapped normal matter, and in this way they are conceptually easy to understand. But the field equations are cumbersome and the numerical analysis has so far been restricted to relatively small size solutions. Here we show how the properties of arbitrarily large 2-2-holes can be found, including the time delay for gravitational wave echoes and the result $T_\infty S_{22}=M/2$. The starting point is to formulate the metric in terms of the tortoise coordinate, and to have one of the two metric functions be a conformal factor. A large conformally-related volume becomes associated with the interior of a 2-2-hole. We also discuss implications for the weak gravity conjecture.

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