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arXiv 1002.3399gr-qcastro-ph.SR
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双星系统的强场及其对脉冲星到达时间的影响

Strong Field of Binary Systems And Its Effects On Pulsar Arrival Times

M. I. Wanas, N. S. Awadalla, W. S. El Hanafy

摘要:

本文回顾了Curzon于1924年给出的代表静态双星系统场的爱因斯坦场方程的精确解。本文给出了一个适用于描述旋转坐标系中动力学双星系统的解。结果表明,这个版本的解决方案是时间依赖的。如果旋转为零,则在静态情况下它减小到后一个。原来的Curzon解表明,在两个质量上有两个奇点,而在修改后的版本中,奇点变成在两个质量的世界线上。该解不存在额外的坐标奇点。修正后的方法得到了轴对称的杀伤矢量场。此外,旋转还允许进一步的旋转对称性,因此也得到了一个旋转杀伤矢量场,并进行了讨论。建立并求解了测试粒子在二元系统场中的运动方程。这种方程已被用来研究引力波到达时间延迟(夏皮罗延迟)的信号从二进制脉冲星系统所产生的建议修改包含额外的条款。这些术语被解释为对质量的高阶修正。特别是我们研究的重磁效应,由于轨道角运动的双双星。我们给出了双脉冲星系统PSR J 0737 -3039 A/B中这类时间延迟的数值估计。我们绘制了一个模型曲线的重磁时间延迟在一个轨道旋转。我们认为,这种类型的延迟将在系统演化的最后阶段有较大的贡献。

英文摘要:

In the present work, the exact solution of Einstein's field equations which has been given by Curzon in 1924 representing the field of a static binary system is reviewed. An adapted version of this solution is obtained to describe a dynamical binaries in a rotating coordinate system. It is shown that this version of the solution is time-dependent. It reduces to the later one in the static case if the rotation goes to zero. The original Curzon solution shows that there are two singularities at the two masses, while in the modified version the singularities become on the world-line of the two masses. The solution shows no additional coordinate singularities. The killing vector field of the axial symmetry is obtained in the modified version. In addition, the rotation admits a further rotational symmetry, so a rotation killing vector field is also obtained and discussed. The equations of motion for a test particle in the field of a binary system are formulated and solved. Such equations have been used to study the gravitational time delay of arrival (Shapiro delay) of signals from binary pulsar systems resulted from our suggested modifications containing additional terms. These terms are interpreted as higher order corrections to the masses. In particular we investigate the gravito-magnetic effect due to orbital angular motion of the double pulsars. We give numerical estimates of this type of the time delay in the case of the double-pulsar system PSR J0737-3039 A/B. We draw a model curve for the gravito-magnetic time delay during one orbital revolution. We suggest that this type of delay will have a larger contribution during the last phase of the system evolution.

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。

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