A numerical study of relativistic compact binaries in quasi-equilibrium

2016 Fiscal Year Final Research Report

• Project/Area Number: 26400267
• 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: University of the Ryukyus (2015-2016); The University of Tokyo (2014)
• Principal Investigator: TANIGUCHI Keisuke 琉球大学, 理学部, 准教授 (70586528)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: 宇宙物理 / 一般相対論 / ブラックホール / 中性子星 / 連星系 / 準平衡解 / スペクトル法 / 数値計算

Outline of Final Research Achievements

Compact binary systems gradually decrease their orbital separations and eventually merge due to the emission of gravitational waves. There, however, exists a state which can be regarded as quasi-equilibrium in the evolutionary sequence of the binaries, because the time-scale of the orbital decay is much longer than the orbital period. In this research program, we have developed a numerical code to accurately solve Poisson-like equations by using a spectral method. First, we developed a code to perform spectral expansion and confirmed its accuracy. Then, we implemented a numerical code to solve Poisson-like equations, an essential part to obtain quasi-equilibrium figures of compact binaries, using the bi-spherical coordinates.

Free Research Field

数物系科学