标题： Eddington启发的Born-Infeld引力中带电黑洞的性质 显示英文标题

标题： Properties of an electrically charged black hole in Eddington-inspired Born-Infeld gravity

摘要： 我们系统地研究了在爱丁顿启发的Born-Infeld引力中带电黑洞的性质，不仅考虑正耦合常数，还考虑负耦合常数的情况。 结果表明，即使在负耦合常数的情况下，黑洞解仍然存在，并且黑洞的电荷可以大于黑洞的质量。 我们还明确了黑洞解存在的参数空间。 另一方面，为了检验粒子在这种黑洞周围的运动，我们推导了测地线方程。 径向粒子运动的有效势的行为与广义相对论中的情况几乎相同，但最内层稳定圆轨道的半径以及赋予最内层稳定圆轨道的角动量可以根据耦合常数的变化而改变。 特别是，我们发现具有特定耦合常数值的最内层稳定圆轨道的半径可以小于广义相对论中极端情况下的半径。 这种粒子释放引力结合能的能力可能超过广义相对论的预测，在观测上可能是重要的。 显示英文摘要

摘要： We systematically examine the properties of an electrically charged black hole in Eddington-inspired Born-Infeld gravity with not only the positive but also the negative coupling constant in the theory. As a result, we numerically find that the black hole solution exists even with the negative coupling constant, where the electric charge of black hole can be larger than the black hole mass. We also clarify the parameter space where the black hole solution exists. On the other hand, to examine the particle motion around such black hole, we derive the geodesic equation. The behavior of the effective potential for the radial particle motion is almost the same as that in general relativity, but the radius of the innermost stable circular orbit and the angular momentum giving the innermost stable circular orbit can be changed, depending on the coupling constant. In particular, we find that the radius of innermost stable circular orbit with the specific value of the coupling constant can be smaller than that for the extreme case in general relativity. Such a particle can release the gravitational binding energy more than the prediction in general relativity, which could be important from the observational point of view.