引力质量对倾斜相对论旋转偶极子(中子星)电磁辐射的影响
The Effect of the Gravitational Mass on the Electromagnetic Radiation from an Oblique, Relativistically Rotating Dipole (Neutron Star)
摘要:
依赖于脉冲星的磁偶极子模型,我们使用DePaolis-Ingrosso-Qadir [32]对Haxton-Ruffini [31]关于单电荷的工作的扩展,用于倾斜旋转的磁偶极子,以纳入引力质量的影响。因此,利用辐射微分方程的数值解和解析解,我们构造了不同质量的偶极NS的能谱。这些光谱表明,在相对较低的角动量l下,当质量从0.5太阳质量变化到3太阳质量时,引力质量的影响在抑制相对论增强因子方面非常显著,这已经被发现[27,28,32],抑制了两到三个数量级。这表明NS的大部分角动量被保留为旋转动能,而不是作为电磁能辐射。此外,辐射能量的抑制或多或少与角动量和高旋转速度无关。我们还发现,电磁能量与sin(倾斜角的斜率)的平方成正比,这与经典行为相似。然而,在很高的角动量下,整个辐射被抑制,质量的影响被忽略。结果表明,引入质量效应后,角动量的(广义)相对论增加使(狭义)相对论增强失去了预期的效果。
英文摘要:
Relying on the magnetic dipole model of the pulsar, we use the extension of the work of Haxton-Ruffini [31] for single charges by DePaolis-Ingrosso-Qadir [32] for an obliquely rotating magnetic dipole, to incorporate the effect of the gravitational mass. So, by using the numerical and analytical solutions of the differential equation for the radiation, we construct the energy spectra for different masses of the dipole-NS. These spectra show that, in relatively low angular momentum l, the effect of the gravitational mass is very significant in suppressing the relativistic enhancement factor, which had been found [27, 28, 32], by two to three orders of magnitude, as the mass changes from 0.5 solar mass to 3 solar masses. It is an indication that most of the angular momentum of the NS is retained as rotational kinetic energy instead of being radiated as an electromagnetic energy. Also, the suppressing in radiation energy is more or less independent of the angular momentum, and the high rotational velocity. We also found that electromagnetic energy is proportional to square of sin(inclination angle the obliquity) which is similar to the classical behavior. However, in the very high angular momentum, the whole radiation suppresses and the effect of mass is neglected. It indicates that the (special) relativistic enhancement expected is lost to the (general) relativistic increase of angular momentum after incorporating the effect of mass.
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