标题： 测试粒子在STVG引力中围绕施瓦茨希尔德黑洞的轨道运动 显示英文标题

标题： Orbital Motion of a test particle around a Schwarzschild's Black Hole in STVG gravity

摘要： 在本文中，我们研究了标量张量矢量引力（STVG）中静态球对称解的存在性，并研究了其视界距离，以建立我们测试粒子的边界限制。 我们计算了度规的Kretschmann不变量以研究奇点，并验证了它在$\alpha\rightarrow0$时退化为广义相对论的Kretschmann不变量。 此外，我们通过发展有效势能和最内稳定圆轨道（ISCO）的半径，研究了类时和类光测试粒子在静态解周围的轨道运动。 显示英文摘要

摘要： In this article, we have examined the existence of a static spherically symmetric solution in the Scalar Tensor Vector Gravity (STVG) and investigated its horizon distances to develop boundary limitations for our test particle. We have computed the Kretschmann invariant of the metric to study the singularities and verify that it reduces to general relativity's Kretschmann invariant as $\alpha\rightarrow0$. Further, we investigated the orbital motion of a time-like and light-like test particle around the static solution by developing an effective potential and the radius of the innermost stable circular orbit (ISCO).