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Jul 10 at 3:38 comment added safesphere You are essentially asking if the gravitational acceleration (a.k.a. static gravity) follows lightlike geodesics. This is not the case, at least not always. For example, the Earth is attracted to the Sun in the direction of its actual position, but not in the direction where we see it in the sky 8 minutes behind (or 4 diameters of the Sun). So not in the direction of lightlike geodesics. See this question for more info (although no good answers there): physics.stackexchange.com/questions/492870
Jul 10 at 3:28 comment added safesphere To see how gravity behaves, you need to understand what it is. Gravity is caused by a gradient of the time dilation. If you are in the living room, but time in your bedroom runs a tiny fraction of a percent slower, then you’d be violently thrown by gravity from the living room to the bedroom. In your setup, think of how the time dilation caused by the planet adds to the one caused by the black hole and see what it does to the gradient.
Jul 8 at 15:34 history edited Qmechanic
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Jul 8 at 15:22 history asked Zach CC BY-SA 4.0