Gravitational acceleration

Hi everyone,

I have a question.
Have the formula been derived ? If not, would somebody please derive it from the GR for me ?

Thanks

<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote"><i>Originally posted by Cindy</i>
<br />Hi everyone,

Would somebody give me a formula of acceleration which was derived from relativity ?

For example,

There are a blackhole, a neutron, an observer.
The observer is standing still in respect to the black hole. The observer is at a distance R from the black hole ( with R &gt; Rs )
The neutron is moving directly into the blackhole. When it pass the observer, it is moving at velocity V (in respect to the observer)
Question: When the neutron pass the observer, what is acceleration of the neutron (in respect to the observer) ?
<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">


0?

There's no such thing as a black hole.



No great thing was ever created suddenly - Epictitus

Well!

I don't know if there exist a black hole. But I think there exist a mass of which R &lt; 2GM/cc

Anyway, black hole is a consequence of GR. Therefore, GR would have a solution for accelerate.

=====================================

Because you disagree about the existence of a black hole, I now make a little change in my question: Would somebody please derive for me from GR a formula for accelerate of a particle when it is moving into a neutron star ?

Thanks,

<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote"><i>Originally posted by Cindy</i>
<br />Would somebody please derive for me from GR a formula for acceleration of a particle when it is moving into a neutron star?<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">Using the truncated equations of motion (which may not be valid near an event horizon), the Newtonian acceleration GM/r^2 would be multiplied by the factor (1-GM/rc^2), which is less than one. However, Einstein himself wrote a paper in 1939 proving that black holes were impossible in his theory, even though later relativists have ignored Einstein's conclusion. If we use Einstein's reasoning and the most likely physical interpretation of his equations, the acceleration for a stationary particle (unlike that for a lightwave) would remain Newtonian: GM/r^2. -|Tom|-

Well,

I would like to know how velocity affect accelerate according to GR.

So, how can I derive a formula for acceleration for a moving particle ?

<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote"><i>Originally posted by Cindy</i>
<br />how can I derive a formula for acceleration for a moving particle?<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">Use the equations of motion for GR. You can find these on p. 1095 of Misner, Thorne and Wheeler's book "Gravitation", among other places. Of course, as for most things in GR, this requires familiarity with advanced mathematics. -|Tom|-