Inside the black hole (as you enter the EH), all objects (massive or massless) must move towards the singularity. The singularity becomes a moment in future.
In the context of general relativity, where gravitation is reduced to a space-time curvature, a body in free fall has no force acting on it. In general relativity, an object in free fall is subject to no force and is an inertial body moving along a geodesic.
Inside the EH, if no other force acts on the objects, as per GR they should be in free fall.
Now if they are in free fall, they must follow geodesics.
I have not found any visual description of any objects entering the EH, and their trajectory afterwards, except this one:
And this one with the map:
Now this is where it needs clarification, what will be the trajectory of an object (massive or massless) moving towards the singularity, does it have to follow the shortest path (geodesic)?
So basically when an object enters the EH it could either follow the geodesic path or the non-geodesic path.
There are two cases:
As per GR, it should follow the geodesic path, but that looks weird, in a way because it includes an effect that seems something like changing the angle (at the EH) towards the singularity.
It follows the more curved (non-geodesic) path, but that is not the shortest way towards the singularity.
- Which way will the object (massive or massless) follow entering the EH?