论文标题

分析黑洞的某些经典和量子方面

Analysis of some classical and quantum aspects of black holes

论文作者

Gabbanelli, Luciano

论文摘要

本文的目的是从量子层次和观察角度提供对黑洞物理学不同方面的见解。 一方面,关于它们的基本本构特征,我们遵循了想法,提出了黑洞物理和量子信息之间的桥梁。在这种方法中,这些物体可以理解为弱相互作用的重力群的玻色网凝结物。我们研究了将这种解决方案的存在视为许多成分的界限系统,提供了良好的指标(Schwarzschild和Reissner-Nordström)。应当指出,所有找到的解决方案都可以解释为冷凝水的平均野外波函数,并且与支持它们的度量的经典结构密切相关。 另一方面,众所周知,非常庞大的身体的加速会在时空本身产生类似波浪的干扰。我们专注于低频范围,预计将通过用作银河钟(脉冲星正时阵列)的脉冲星阵列来衡量。波浪通过时,非常稳定的壁虱会受到干扰。但是,主要由宇宙常数$λ$组成的动态背景的存在可能会影响重力波传播,并会改变PTA上的预期信号。我们研究了由相对论和非权威主义物质组成的不同背景的影响,以及宇宙学常数。我们提供了此效果的详细表征,一阶仅取决于哈勃常数$ h_0 $(在较高订单下,可以分离不同的贡献)。我们还讨论如何找到这种效果。我们希望我们的结果有助于PTA的明确检测。不用说,$ H_0 $的独立本地确定将引起极大的兴趣。

The purpose of this thesis is to provide insights into different aspects of black hole physics, both at a quantum level and from an observational point of view. On the one hand, regarding their fundamental constitutive characteristics, we have followed ideas proposing a bridge between black holes physics and quantum information. In this approach, these objects can be understood as Bose-Einstein condensates of weakly interacting gravitons. We have studied the existence of such solutions considered as bound systems of many constituents, providing well established metrics (Schwarzschild and Reissner-Nordström). It should be noted that all solutions found can be interpreted as mean field wave functions of the condensate and are strongly related to the classical structure of the metric that supports them. On the other hand, it is well known that the acceleration of very massive bodies produces wave-like disturbances in spacetime itself. We focus on the low-frequency range which is expected to be measured by arrays of pulsars employed as galactic clocks (Pulsar Timing Arrays). When waves passes, the very stable ticks are disturbed. However the existence of a dynamical background, mainly composed by a cosmological constant $Λ$, may affect the gravitational wave propagation and would modify the expected signal over the PTA. We have studied the influence of different backgrounds composed by relativistic and non-relativistic matter, together with the cosmological constant. We present a detailed characterization of this effect which at first order depends only on the Hubble constant $H_0$ (at higher orders different contributions can be disentangled). We also discuss how and where this effect can be found. We hope that our results contribute to a definitive detection by PTA. Needless to say, an independent local determination of $H_0$ would be of enormous interest.

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