Pretorius Frans
Theoretical Astrophysics, California Institute of Technology, Pasadena, California 91125, USA.
Phys Rev Lett. 2005 Sep 16;95(12):121101. doi: 10.1103/PhysRevLett.95.121101. Epub 2005 Sep 14.
We describe early success in the evolution of binary black-hole spacetimes with a numerical code based on a generalization of harmonic coordinates. Indications are that with sufficient resolution this scheme is capable of evolving binary systems for enough time to extract information about the orbit, merger, and gravitational waves emitted during the event. As an example we show results from the evolution of a binary composed of two equal mass, nonspinning black holes, through a single plunge orbit, merger, and ringdown. The resultant black hole is estimated to be a Kerr black hole with angular momentum parameter a approximately 0.70. At present, lack of resolution far from the binary prevents an accurate estimate of the energy emitted, though a rough calculation suggests on the order of 5% of the initial rest mass of the system is radiated as gravitational waves during the final orbit and ringdown.
我们使用基于调和坐标推广的数值代码,描述了双黑洞时空演化的早期成功案例。有迹象表明,在足够高的分辨率下,该方案能够长时间演化双黑洞系统,以提取有关轨道、合并以及事件期间发射的引力波的信息。作为一个例子,我们展示了由两个等质量、无自旋黑洞组成的双黑洞通过单次 plunge 轨道、合并和铃宕的演化结果。由此产生的黑洞估计是一个角动量参数 a 约为 0.70 的克尔黑洞。目前,远离双黑洞处分辨率的不足妨碍了对发射能量的准确估计,不过粗略计算表明,在最终轨道和铃宕期间,系统初始静止质量的约 5% 以引力波的形式辐射出去。