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- Summary:
- accel on a quasar

I want to derive an acceleration in the case for a stationary mass in the gravity field.

I found the total energy in the GR is provided by a simple equation:

https://en.wikipedia.org/wiki/Schwarzschild_geodesics

## E = mc^2\sqrt{1 - rs/r} * \gamma ##

So, this is easy to provide acceleration for that energy definition, using standard math alone: the gradient.

## g(r) = -GM/r^2 \frac{1}{1 - rs/r} ##

And this should be correct (for a stationary body: v = 0).

I have seen many complicated solutions for this problem, and inconsistent with this result.

What is a problem with this?

I found the total energy in the GR is provided by a simple equation:

https://en.wikipedia.org/wiki/Schwarzschild_geodesics

## E = mc^2\sqrt{1 - rs/r} * \gamma ##

So, this is easy to provide acceleration for that energy definition, using standard math alone: the gradient.

## g(r) = -GM/r^2 \frac{1}{1 - rs/r} ##

And this should be correct (for a stationary body: v = 0).

I have seen many complicated solutions for this problem, and inconsistent with this result.

What is a problem with this?

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