Investigations of the thermodynamic properties of black holes based on the dynamics near the event horizons

2018 Fiscal Year Final Research Report

• Project/Area Number: 16K05333
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Kushiro National College of Technology
• Principal Investigator: UMETSU HIROSHI 釧路工業高等専門学校, 創造工学科, 教授 (90393420)
• Research Collaborator: SAKO Akifumi
• Project Period (FY): 2016-04-01 – 2019-03-31
• Keywords: ブラックホール / 量子重力 / 非可換空間

Outline of Final Research Achievements

The degrees of freedom of deformations near the event horizons of black holes were studied. We aimed to derive the thermodynamic properties of black holes and to obtain information of quantum properties of gravity by investigating effects of the degrees of freedom of deformations on Hawking radiations. It is expected that quantum space-times have a sort of discreteness and noncommutativity. In this study, we made noncommutative Kahler manifolds by using deformation quantization and derived local Fock representations on the manifolds and transition function between the Fock representations. Further, we investigated gauge theories on noncommutative Kahler manifolds by applying Fock representations.

Free Research Field

素粒子理論

Academic Significance and Societal Importance of the Research Achievements

ミクロなスケールにおいて重力は量子論的な性質を持つと思われている．ブラックホールにはその性質が顕著に現れると期待される．本研究では，ブラックホールの持つ自由度を明らかにすることを目指した．また，ミクロなスケールで現れる空間の離散的性質を反映した場の理論について調べた．