探索2+1维的加速毛状黑洞:渐近局部反德西特类及其全息

IF 5 1区 物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS
Adolfo Cisterna, Felipe Diaz, Robert B. Mann, Julio Oliva
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引用次数: 2

摘要

在低维加速时空中,畴壁的存在是形成畴壁的必要条件,畴壁是一种共维拓扑缺陷。通过在物质扇区中加入一个共形耦合标量场,我们扩展了用于生成这种时空解的几何框架。这一努力导致了几个新的具有渐近局部反德西特(AdS)行为的三维加速时空族的识别。值得注意的是,其中一个解决方案展示了加速BTZ黑洞的可怕概括。该解是在慢速和快速加速阶段建立的,并明确说明了它与已建立的真空时空模型的联系。标量场的包含使畴壁具有非恒定的里奇曲率,从而使这些构型特别适合于构建二维量子黑洞。要在存在域壁的情况下建立定态变分原理,需要采取两个基本步骤。首先,我们扩展了传统的重整化ad3作用,以适应标量场的存在。其次,我们明确地将与几何内部边界相关的Gibbons-Hawking-York项纳入其中,并考虑了作用中畴壁的张力。这种双步骤过程使我们能够通过变分原理推导出畴壁场方程。因此,作用提供了适当的量子统计关系。我们进行全息计算,从而确定全息应力张量的显式形式。在这种情况下,应力张量可以表示为位于弯曲背景上的完美流体的应力张量。此外,它还为确定时空质量铺平了道路。最后,我们通过证明具有渐近局部平坦和渐近局部德西特几何的三维加速时空的存在来结束,特别是那些体现黑洞的几何。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Exploring accelerating hairy black holes in 2+1 dimensions: the asymptotically locally anti-de Sitter class and its holography
A bstract In the realm of lower-dimensional accelerating spacetimes, it is well-established that the presence of domain walls, which are co-dimension one topological defects, is a necessary condition for their construction. We expand upon the geometric framework employed in the generation of such spacetime solutions by incorporating a conformally coupled scalar field within the matter sector. This endeavor leads to the identification of several new families of three-dimensional accelerating spacetimes with asymptotically locally anti-de Sitter (AdS) behavior. Notably, one of these solutions showcases a hairy generalization of the accelerating BTZ black hole. This solution is constructed at both slow and rapid phases of acceleration, and its connection with established vacuum spacetime models is explicitly elucidated. The inclusion of the scalar field imparts a non-constant Ricci curvature to the domain wall, thereby rendering these configurations particularly suitable for the construction of two-dimensional quantum black holes. To establish a well-posed variational principle in the presence of the domain wall, two essential steps are undertaken. First, we extend the conventional renormalized AdS 3 action to accommodate the presence of the scalar field. Second, we explicitly incorporate the Gibbons-Hawking-York term associated with the internal boundaries of our geometries and account for the tension of the domain wall in the action. This dual step process enables us to derive the domain wall field equations via the variational principle. Consequently, the action furnishes the appropriate quantum statistical relation. We engage in holographic computations, thereby determining the explicit form of the holographic stress tensor. In this context, the stress tensor can be expressed as that of a perfect fluid situated on a curved background. Additionally, it paves the road to ascertain the spacetime mass. Finally, we close by demonstrating the existence of three-dimensional accelerating spacetimes with asymptotically locally flat and asymptotically locally de Sitter geometries, particularly those embodying black holes.
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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics PHYSICS, PARTICLES & FIELDS-
CiteScore
10.00
自引率
46.30%
发文量
2107
审稿时长
12 weeks
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
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