arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1102.5332gr-qc
收藏

努德斯特伦第二理论中的二元启示

Binary Inspirals in Nordström's Second Theory

Travis Garrett

摘要:

我们研究了努德斯特伦的第二引力理论,重点是利用它作为开发数值相对论技术的试验平台。对该理论进行了数值模拟,并与半解析计算的预测(类似于Peters和Mathews的GR结果)进行了比较。模拟是基于同向旋转球坐标系,其中有限差分和伪谱方法被使用。当轨道为准圆运动时,我们还采用了“无氢流体”近似和弱辐射反应近似。我们发展了一个二进制的准圆形的初始数据为数百个轨道,并发现由此产生的inspiral密切匹配的1/4幂律的半解析计算。我们还发现,一个偏心的二进制circularizes和进动在预期的速度。因此,研究的方法提供了一个很有前途的攻击线的数值模拟长二元吸气广义相对论。

英文摘要:

We investigate Nordström's second theory of gravitation, with a focus on utilizing it as a testbed for developing techniques in numerical relativity. Numerical simulations of inspiraling compact star binaries are performed for this theory, and compared to the predictions of semi-analytic calculations (which are similar to Peters and Mathews' results for GR). The simulations are based on a co-rotating spherical coordinate system, where both finite difference and pseudo-spectral methods are used. We also adopt the "Hydro without Hydro" approximation, and the Weak Radiation Reaction approximation when the orbital motion is quasi-circular. We evolve a binary with quasi-circular initial data for hundreds of orbits and find that the resulting inspiral closely matches the 1/4 power law profile given by the semi-analytical calculations. We additionally find that an eccentric binary circularizes and precesses at the expected rates. The methods investigated thus provide a promising line of attack for the numerical modeling of long binary inspirals in general relativity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑