Black Hole in Particle Physics and its Cosmologicul Implication

粒子物理学中的黑洞及其宇宙学意义

• 批准号: 06640412
• 负责人: MAEDA Kei-ichi
• 金额: $ 1.34万
• 依托单位: Waseda University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1995
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-06640412/
• 关键词: Black Hole; Unified Theory; non-Abelian gauge field; Super String; Catastrophe Theory; No Hair Conjecture; Entropy; Thermodynamics; カタストロフィー

We have analyzed a property and stability of new type of black holes, which do not belong to the Kerr-Newman family. In a unified theory of fundamental interactions, we usually expect non-Abelian gauge fields, which provide us new types of non-trivial structure like a monopole and new black holes. We have classified those black holes and presented a unified picture. We have also shown that the stability of those black holes is understood by a catastrophe theory, when the entropy of a black hole is regarded as the potential function.The qunatum radiation process of black holes has also been studied in theories with a dilaton field, which is inspired by a unified theory. A superstring model turns out to be critical in a sense that the energy flux of Hawking radiation diverges if the dilaton coupling with U (1) gauge field is larger than that of the superstring model.

我们分析了不属于Kerr-Newman家族的新型黑洞的性质和稳定性。在基本相互作用的统一理论中，我们通常期待非阿贝尔规范场，它为我们提供了新的非平凡结构类型，如单极子和新的黑洞。我们对这些黑洞进行了分类，并给出了一个统一的图像。我们还表明，当黑洞的熵被视为势函数时，这些黑洞的稳定性可以用突变理论来理解。在统一理论的启发下，用膨胀场理论研究了黑洞的量子辐射过程。当与U(1)规范场耦合的膨胀子大于超弦模型时，霍金辐射的能量通量会发生发散，超弦模型在某种意义上是至关重要的。

项目成果

N. Sakai, K. Maeda and Y. Kim: "Bubbles with an O(3)-symmetric Scalar Field in Curved Spacetime" Proceedings of the Seventh Marcel Grossmann Meeting World Scientific ed. by R. Ruffini and M. Keiser. (in press). (1996)

N. Sakai、K. Maeda 和 Y. Kim：“弯曲时空中具有 O(3) 对称标量场的气泡”第七届马塞尔·格罗斯曼世界科学会议论文集。

H.Shinkai and K.Maeda: "Generality of Inflation in a Planar Universe" Phys.Rev.D49.no.12. 6367-6378 (1994)

H.Shinkai 和 K.Maeda：“平面宇宙中暴胀的一般性”Phys.Rev.D49.no.12。

T.Torii,K.Maeda and T.Tachizawa: "Non-Abelian Black Holes and Catastrophe Theory I:Neutral Type" Phys.Rev.(in press). (1995)

T.Torii、K.Maeda 和 T.Tachizawa：“非阿贝尔黑洞和突变理论 I：中性型”Phys.Rev.（印刷中）。

T.Hirai and K.Maeda: "Gauge-invariant Cosmological Perturbations in Generalized Einstein Theories" Astrophys.J.431. 6-19 (1994)

T.Hirai 和 K.Maeda：“广义爱因斯坦理论中的规范不变宇宙学扰动”Astrophys.J.431。

L. Gurnnarsen,H. Shinkai and K. Maeda: "A′(3+1)′Method for Finding Principal Null Directions" Class. Quantum Grav.12. 133-40 (1995)

L. Gurnnarsen、H. Shinkai 和 K. Maeda：“A′(3+1)′寻找主零方向的方法”类 133-40 (1995)。