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Thread: GR Question #1: Acceleration

  1. #1
    Forum Admin topsquark's Avatar
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    GR Question #1: Acceleration

    I have been working on what I thought would be a (reasonably) simple problem and I have found it to be completely intractable.

    The concept is simple enough...I wanted to let a rocket fall into a black hole while applying a constant acceleration of its own. But after problem after problem (I can't tell you how many curvature tensor components I've been cranking out) I can't seem to get a grip on it.

    So, what I am asking for is some help. The problem I am looking at is that I am going to specify $\displaystyle \frac{dx}{d \tau} = a$ with no other gravitational sources being considered. How can I derive a possible metric satisfying this condition? Conceptually I see no major problem with this but I just can't manage to do it. It's driving me bonkers!

    Thanks!

    -Dan
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    Super Member Rebesques's Avatar
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    Re: GR Question #1: Acceleration

    This page solves the problem for a falling astronaut. For the speeding rocket, I guess
    equation (2) should be modified, but still the result should resemble eq. (8).
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    Forum Admin topsquark's Avatar
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    Re: GR Question #1: Acceleration

    Quote Originally Posted by Rebesques View Post
    This page solves the problem for a falling astronaut. For the speeding rocket, I guess
    equation (2) should be modified, but still the result should resemble eq. (8).
    That's good. I haven't encountered geodesic deviation before. That'll give me something new to play with.

    -Dan
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