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arXiv 1003.2687gr-qcastro-ph.SR
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Reissner-Nordström时空中的圆周运动

Circular motion in Reissner-Nordström spacetime

Daniela Pugliese, Hernando Quevedo, Remo Ruffini

摘要:

我们研究了Reissner-Nordström时空中中性粒子沿圆形轨道的运动。我们使用的方法的有效势与运动常数相关的基本Killing对称性。比较了黑洞和裸奇点的情况。特别是,我们发现,在裸奇点的情况下,$r<Q^2/M$没有圆形轨道可以存在,这个半径起着根本性的作用,在物理学的裸奇点。对于$r>Q^2/M$和$1<Q/M<\sqrt{9/8}$,存在两个稳定区域,其中一个区域是所有圆轨道不稳定的区域,另一个区域是所有轨道都可能但不是圆轨道的区域,对于$\sqrt{9/8}<Q/M<\sqrt{5}/2$,存在一个稳定区域和一个所有圆轨道都不稳定的区域,最后对于$Q/M>\sqrt{5}/2$,存在$r>Q^2/M$的所有稳定圆轨道.

英文摘要:

We study the motion of neutral test particles along circular orbits in the Reissner-Nordström spacetime. We use the method of the effective potential with the constants of motion associated to the underlying Killing symmetries. A comparison between the black hole and naked singularity cases is performed. In particular we find that in the naked singularity case for $r<Q^2/M$ no circular orbits can exist, this radius plays a fundamental role in the physics of the naked singularity. For $r>Q^2/M$ and $1<Q/M<\sqrt{9/8}$ there are two stability regions together with a region where all the circular orbits are instable and a zone in which all trajectory are possible but not circular orbits, for $\sqrt{9/8}<Q/M<\sqrt{5}/2$ one stability region and a region where all circular orbits are instable appear, finally for $Q/M>\sqrt{5}/2$ there are all stable circular orbits for $r>Q^2/M$.

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