Recent content by Stollaxel Stoll

I cant't figure out how to transform ##\dot{r}##, ##\dot{\theta}##, ##\dot{\phi}## in spherical coordinates to ##\dot{x}##, ##\dot{y}##, ##\dot{z}## in cartesian coordinates (the dot is Newton's notation for the first time-derivative which is the angular velocity and velocity). I have no...

I often stumbled across the variables for angular momentum L and axial angular momentum Lz, which would be no problem if working in cartesian coordinates, then it would be Lz = px y - py x. Unfortunately I have no idea what to make of an Lz in spherical coordinates: For example, in equations of...

That's what I get (for the radial velocity in river-flow coordinates, where the motion of a particle at rest equals Newton's escape velocity at that coordinate).

What is the question then? If you don't want the local frame stay in your coordinate frame, what else? As long as you know what you are doing...

v/c is not a coordinate at all. This is the velocity in terms of the speed of light! You need to give some examples what velocities you get with different initial conditions, otherwise it's hard to tell if you are using the right or the wrong equations.

Please have a look at this article: https://www.physicsforums.com/threads/schwarzschild-equation-of-motion-initial-conditions.873588/page-2#post-5487369

From the perspective of an outer observer all the material that builds the black hole is stuck on the horizon because of the infinite time dilation at its surface. This material is, from that perspectice, frozen right above the horizon, but angular momentum has to be conserved so it becomes...