Geometrical Structure of Brane Universes

膜宇宙的几何结构

• 批准号: 14540275
• 负责人: ISHIHARA Hideki
• 金额: $ 2.11万
• 依托单位: Osaka City University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2002
• 资助国家: 日本
• 起止时间: 2002 至 2005
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14540275/
• 关键词: general relativity; cosmology; brane universe; singularity; black hole; gravitational collapse; string theory; gauge theory; general relativity; cosmology; brane universe; singularity; black hole; gravitational collapse; holonomy; gravitati

1.Global structure of brane universe models is studied. It is clarified that initial big-bang singularities of homogeneous and isotropic brane universes are point-like, and then there is no horizon problem in the models. It is shown that gravitational waves can propagate apparently faster than the light speed.Killing vector fields, which generate isometry group acting on the embedded objects, e.g.branes, in the Minkowski spacetime are classified into 7 families.2.Black objects in higher dimensional spacetimes are studied. In the case of an infinitely long matter exists, it is shown that a black-string horizon could appear if the matter distribution is sufficiently thin. It is proposed that the "hyper-hoop conjecture" which is a conjecture about the necessary and sufficient condition for the formation of black hole horizon.Black holes with horizons in the shape of squashed 3-dimensional sphere are constructed explicitly. The asymptotic structure is locally flat with a compact dimension.3.Motivated by the string theory and M theory, explicit Einstein, metrics are studied. New Einstein metrics on compact spaces are constructed using 5-dimensional anti-de Sitter Kerr black hole. Properties of the metrics are clarified from the point of view of AdS/CFT correspondence.

1.研究膜宇宙模型的整体结构。阐明了均匀和各向同性膜宇宙的初始大爆炸奇点是点状的，因而模型中不存在视界问题。研究表明，引力波的传播速度明显超过光速，在闵可夫斯基时空中作用于嵌入物体（如膜）产生等距群的Killing矢量场可分为7类。2.研究了高维时空中的黑色物体。在无限长物质存在的情况下，它表明，一个黑弦视界可能出现，如果物质分布是足够薄的。提出了关于黑洞视界形成的充要条件的“超箍猜想”，明确地构造了视界为压扁三维球的黑洞.在弦理论和M理论的启发下，研究了显式Einstein度规。利用5维反de Sitter Kerr黑洞构造了紧致空间上新的Einstein度量.从AdS/CFT对应的角度阐明了度量的属性。

项目成果

On Spin(7) holonomy metric based on SU(3)/U(1) 2

基于 SU(3)/U(1) 2 的 Spin(7) 完整度量

• 发表时间: 2002
• 期刊: J.Geom.Phys. 43
• 作者: H.Kanno;Y.Yasui
• 通讯作者: Y.Yasui

Mitsuo Hiragane, Yukinori Yasui, Hideki Ishihara: "COMPACT EINSTEIN SPACES BASED ON QUATERNIONIC KAHLER MANIFOLDS"Classical and Quantum Gravity. 20. 3933-3950 (2003)

Mitsuo Hiragane、Yukinori Yasui、Hideki Ishihara：“基于四元卡勒流形的紧凑爱因斯坦空间”经典和量子引力。

Sasaki-Einstein twist of Kerr-Ads black holes

科尔-阿德斯黑洞的佐佐木-爱因斯坦扭曲

• 发表时间: 2004
• 期刊: Physics Letters B600
• 作者: S.Kamada 他;S.Kamada 他;S.Kamada他;S.Kamada他;J.S.Carter 他;Yoshitake Hashimoto
• 通讯作者: Yoshitake Hashimoto

Inner Structure of Kaluza-Klein Black Holes

卡鲁扎-克莱因黑洞的内部结构

• 发表时间: 2005
• 期刊: Proceedings of the 15th Workshop on General Relativity and Gravitation 15
• 作者: H.Ishihara;K.Matsuno
• 通讯作者: K.Matsuno

Properties of some five dimensional Einstein metrics.

一些五维爱因斯坦度量的属性。

• 发表时间: 2004
• 期刊: Class.Quant.Grav. 21
• 作者: Gary W.Gibbons;Sean A.Hartnoll;Yukinori Yasui
• 通讯作者: Yukinori Yasui