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arXiv 2109.10022gr-qc
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黑洞时空中的自旋诱导运动

Spin-induced motion in black hole spacetime

Satish Kumar Saravanan

摘要:

基于协变哈密顿形式,我们研究了Kerr时空和Schwarzschild时空中自旋测试体的动力学。首次在不截断粒子或黑洞自旋的情况下,导出了Kerr平面中圆轨道的精确解。利用世界线微扰理论得到了一类非圆束缚轨道。结果表明,自旋天体具有倍频特性,因此,除了角位移外,近星点的径向变化与自旋的排列和大小成正比。利用稳定性分析的方法,我们预测了最内层稳定圆轨道(ISCO)的半径与粒子和黑洞自旋的关系。此外,在史瓦西时空中扩展自旋一般取向的微扰技术导致非平面束缚轨道的发展和轨道平面的完全相对论性进动频率的预测。

英文摘要:

Based on the covariant hamiltonian formalism, we study the dynamics of spinning test bodies in the Kerr and Schwarzschild spacetimes. For the first time, we derive the exact solution of circular orbits in the Kerr plane without truncating the spin of the particle or black hole. A large class of noncircular bound orbits has been developed by using the world line perturbation theory. It is found that the spinning body possesses a double frequency, and thus, in addition to the angular shift, the periastron varies radially proportional to the alignment and magnitude of spins. By using the method of stability analysis, we predict the radius of the innermost stable circular orbit (ISCO) as a function of particle and black hole spin. Furthermore, extending the perturbative technique for generic orientation of spin in Schwarzschild spacetime leads to the development of nonplanar bound orbits and the prediction of fully relativistic precessional frequency of the orbital plane.

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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