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arXiv 2007.08823gr-qc
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Reissner-Nordström,Kerr-Newman和Kerr-Sen时空中带电粒子的ISCO

The ISCO of charged particles in Reissner-Nordström, Kerr-Newman and Kerr-Sen spacetime

Kris Schroven, Saskia Grunau

摘要:

本文研究带电Reissner-Nordström时空、Kerr-Newman时空和Kerr-Sen时空中带电粒子的最内层稳定圆轨道(ISCO)。我们发现在有吸引力的库仑相互作用$qQ<0$的情况下,ISCO的半径随着粒子-黑洞电荷积$|qQ|$的增加而增加。对于排斥库仑相互作用,ISCO半径首先减小到最小值,然后再次增加,直到随着电荷积接近1而发散。如果黑洞的电荷$Q$很小,则ISCO半径的最小值位于$qQ=0$。排斥和吸引的库仑相互作用将总是增加ISCO半径在这个极限。对于$qQ\geq 1$,在Reissner-Nordström和Kerr-Newman时空中带电粒子的稳定束缚轨道不再存在。在Kerr-Sen时空中,极限情况取决于黑洞的电荷以及是否对测试粒子施加了玻色子耦合。我们发现了不含双光子耦合的PDMATHAMR和含双光子耦合的$qQ\geq 1+\frac{3}{2}Q^2$ $α=1$。

英文摘要:

In this article we study the innermost stable circular orbit (ISCO) of electrically charged particles in the electrically charged Reissner-Nordström spacetime, the Kerr-Newman spacetime and the Kerr-Sen spacetime. We find that the radius of the ISCO increases with an increasing particle-black hole charge product $|qQ|$ in the case of attractive Coulomb interaction $qQ<0$. For repulsive Coulomb interaction, the ISCO radius first decreases to a minimum and then increases again, until it diverges as the charge product approaches one. If the charge $Q$ of the black hole is very small, the minimum of the ISCO radius lies at $qQ=0$. Repulsive and attractive Coulomb interactions will always increase the ISCO radius in this limit. Stable bound orbits of charged particles cease to exist in the Reissner-Nordström and Kerr-Newman spacetime for $qQ\geq 1$. In the Kerr-Sen spacetime the limiting case depends on the charge of the black hole and if dilaton coupling is applied to the test particle. We find $qQ\geq 1+Q^2$ without dilaton-coupling and $qQ\geq 1+\frac{3}{2}Q^2$ with dilaton coupling $α=1$.

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