Quasi-normal modes of rotating black holes and neutron stars: gravitational waves and AdS/CFT correspondence

旋转黑洞和中子星的准正态模式：引力波和 AdS/CFT 对应

• 批准号: 383474539
• 负责人: Professorin Dr. Jutta Kunz-Drolshagen, since 1/2021
• 金额: --
• 依托单位: Institut für Physik (IFP)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2017
• 资助国家: 德国
• 起止时间: 2016-12-31 至 2021-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/383474539?language=en
• 关键词: Quasi; normal; modes; rotating; black

The topic of this research proposal is the investigation of black holes and neutron stars in the context of General Relativity and in generalized theories of gravity. We propose to study the properties of such compact objects in the presence of additional fields, like scalars and gauge fields, or extra dimensions, as motivated by string theory and other candidate theories of quantum gravity. The research we propose has two main objectives. -The first direction will focus on the gravitational wave emission of different astrophysically relevant objects, like black holes and neutron stars. Gravitational waves have been detected recently by the LIGO collaboration. The analysis indicates that the sources of these detections are coalescing astrophysical black holes. The continuous enhancement of sensitivity will allow to detect gravitational waves from other sources as well, like neutron stars mergers, white dwarf collisions, and possibly other unknown phenomena. The objective is to study gravitational wave emission in generalized theories of gravity. We shall study the presence of phenomenological signatures of a given theory in several observable properties of the physical objects, such as the relation between the ringdown frequencies of gravitational waves with some global parameters, rotational properties, and possible breaking of universal relations (Eikonal limit, I-love-Q). By comparing the detected gravitational waves with the predictions of each theory we can constrain the parameters and field content of the theory. -The second direction will focus on the study of higher dimensional black holes. These objects are interesting in the context of string theory, which predicts the existence of extra dimensions, and the AdS/CFT correspondence. The correspondence conjectures that fields propagating in a D-dimensional gravitational theory are dual to quantum fields propagating on its (D-1)-dimensional boundary. In particular black holes in 5 dimensions can be used to describe thermal states in a 4 dimensional conformal field theory. This correspondence allows to use geometrical objects like black holes to explore the properties of strongly interacting quantum systems. The purpose is to study the properties of new black holes and possible generalizations of known solutions in the context of supergravity, especially asymptotically AdS solutions and supersymmetry. We will study the thermodynamic properties of these black holes, the domain of existence and stability of the different families of solutions, and possible connections of these solutions with particle theory and condensed matter models.

本研究计划的主题是在广义相对论和广义引力理论的背景下研究黑洞和中子星。在弦理论和其他量子引力候选理论的推动下，我们建议研究这些紧致物体在额外场（如标量和规范场）或额外维度存在下的性质。我们提出的研究有两个主要目标。第一个方向将专注于不同天体物理相关物体的引力波发射，如黑洞和中子星。LIGO合作组织最近探测到了引力波。分析表明，这些探测的来源是合并的天体物理学黑洞。灵敏度的不断提高也将使我们能够探测到来自其他来源的引力波，比如中子星合并、白矮星碰撞，以及其他可能的未知现象。目的是研究广义引力理论中的引力波发射。我们将研究给定理论的现象学特征在物理对象的几个可观测性质中的存在，例如引力波的衰荡频率与某些全局参数之间的关系，旋转性质，以及普遍关系的可能破坏（Eikonal极限，I-love-Q）。通过将探测到的引力波与每种理论的预测相比较，我们可以约束理论的参数和场内容。-第二个方向将集中于高维黑洞的研究。这些物体在弦理论的背景下很有趣，弦理论预测了额外维度的存在，以及AdS/CFT对应关系。对应猜想在d维引力理论中传播的场与在（D-1）维边界上传播的量子场是对偶的。特别是5维黑洞可以用来描述4维共形场论中的热态。这种对应关系允许使用像黑洞这样的几何物体来探索强相互作用量子系统的特性。目的是研究新黑洞的性质以及在超引力背景下已知解的可能推广，特别是渐近AdS解和超对称解。我们将研究这些黑洞的热力学性质，不同解族的存在域和稳定性，以及这些解与粒子理论和凝聚态模型的可能联系。