论文标题

宇宙学中过去的灯笼的鹰能量

The Hawking Energy on the Past Lightcone in Cosmology

论文作者

Stock, Dennis

论文摘要

这项工作在宇宙学的背景下研究了鹰的能量。时空中一个点的灯酮是与宇宙学观测紧密相关的自然几何结构。通过将过去的灯酮切成一个1参数的空中式2曲面家族,研究了霍金能量的演变。强烈的引力场可能会产生轻酮自身交流和波浪前奇点。我们表明,在存在燕尾型奇点的情况下,霍金能量及其沿LightCone的空发电机的变化仍然明确,随后讨论了其阳性和单调性。

This work studies the Hawking energy in a cosmological context. The past lightcone of a point in spacetime is the natural geometric structure closely linked to cosmological observations. By slicing the past lightcone into a 1-parameter family of spacelike 2-surfaces, the evolution of the Hawking energy down the lightcone is studied. Strong gravitational fields may generate lightcone self-intersections and wave front singularities. We show that in the presence of swallow-tail type singularities, the Hawking energy and its variation along the null generators of the lightcone remains well-defined and subsequently discuss its positivity and monotonicity.

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