Guéron Eduardo, Letelier Patricio S
Departamento de Matemática Aplicada, Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas, SP, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Oct;66(4 Pt 2):046611. doi: 10.1103/PhysRevE.66.046611. Epub 2002 Oct 16.
The exact solution to the Einstein equations that represent a static axially symmetric source deformed by an internal quadrupole is considered. The Poincaré section method is used to study numerically the geodesic motion of test particles, for prolate quadrupole deformations, we find chaotic motions contrary to the oblate case where only regular motion is found. We also consider the metric that represents a rotating black hole deformed by a quadrupole term. This metric is obtained as a two-soliton solution in the context of Belinsky-Zakharov inverse scattering method. The stability of geodesics depends strongly on the relative direction of the spin of the center of attraction and the angular momentum of the test particle.
考虑了表示由内部四极矩变形的静态轴对称源的爱因斯坦方程的精确解。采用庞加莱截面法对测试粒子的测地线运动进行数值研究，对于长椭球四极矩变形，我们发现了混沌运动，这与仅发现规则运动的扁球情况相反。我们还考虑了表示由四极矩项变形的旋转黑洞的度规。该度规是在别林斯基 - 扎哈罗夫逆散射方法的背景下作为双孤子解得到的。测地线的稳定性强烈依赖于吸引中心的自旋与测试粒子的角动量的相对方向。
