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Math Help - Timelike, Spacelike and Null Seperation

  1. #31
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    Re: Timelike, Spacelike and Null Seperation

    OK, so should I just leave my answer like the following?
    Attached Thumbnails Attached Thumbnails Timelike, Spacelike and Null Seperation-revision-6.png  
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  2. #32
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    Re: Timelike, Spacelike and Null Seperation

    I'm not sure you understood my last post. I was saying that the order you write the matrices matters for when you do the multiplication. You should have

     g' = \left( \begin{array}{cc} 1 & \cos{\theta} \\ 0 & \sin{\theta} \end{array} \right) \left( \begin{array}{cc} 1 & 0 \\ \cos{\theta} & \sin{\theta} \end{array} \right)

    Then carry out the matrix multiplication to get a single 2x2 matrix for g'.
    Last edited by JohnDMalcolm; August 9th 2012 at 02:45 PM.
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  3. #33
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    Re: Timelike, Spacelike and Null Seperation

    Sorry John I did make an error reading your post. So using what you have said I have arrived at a final answer of
    (see attachment)
    Attached Thumbnails Attached Thumbnails Timelike, Spacelike and Null Seperation-revision-6.png  
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  4. #34
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    Re: Timelike, Spacelike and Null Seperation

    Look at the expression I have in Post #32 and compare it to your expression for g'.
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  5. #35
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    Re: Timelike, Spacelike and Null Seperation

    I'm sorry John I totally misread you post again, I think now I have the correct answer.

    Thank You
    Attached Thumbnails Attached Thumbnails Timelike, Spacelike and Null Seperation-revision-6.png  
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  6. #36
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    Re: Timelike, Spacelike and Null Seperation

     1 + \cos^{2}{\theta} \neq \sin^{2}{\theta}
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