Recent content by coleman123

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    Constructing the electromagnetic tensor from a four-potential

    I tried to apply: ##\omega^{\alpha} = \epsilon^{\alpha\beta\gamma\delta}\xi_{\beta}\nabla_{\gamma}\xi_{\delta} = \epsilon^{\alpha\beta\gamma \delta}\xi_{\beta}\partial_{\gamma}\xi_{\delta}## But got zeroes... are you sure it is the correct expression? Maybe was my Levi-Civita tensor.
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    Constructing the electromagnetic tensor from a four-potential

    Do you have a book or site reference on that WannabeNewton? Thanks for the help.
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    Constructing the electromagnetic tensor from a four-potential

    Alright, since the equation (1) is the Curl, I must do it in cylindrical coordinates. That is where I am making the mistake... If I follow (1) the way it is, it gives the Curl in Cartesian coordinates.
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    Constructing the electromagnetic tensor from a four-potential

    Hello, thanks for the help. I did everything in Mathematica, so I think the results are ok, unless I messed up with the indexes. I heard that I must take the Curl using covariant derivatives... is this correct?
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    Constructing the electromagnetic tensor from a four-potential

    *Edit: I noticed I may have posted this question on the wrong forum... if this is the case, could you please move it for me instead of deleting? thanks! :) Hello, I am having problems on building my electromagnetic tensor from a four-potential. I suspect my calculations are not right. Here are...
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    Index gymnastics of electromagnetism quantities

    Thanks!
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    Index gymnastics of electromagnetism quantities

    This bothers me, and the question is simple: If am working with a non-minkowski metric g, when raising or lowering indexes of electromagnetism quantities, for example the electromagnetic tensor F, or the vector potential A, should I use my curved spacetime metric g or the minkowski metric n?
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    Construct electromagnetic stress-energy tensor for a non-flat metric

    Ok Mentz, thanks for the help. Have a nice day
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    Construct electromagnetic stress-energy tensor for a non-flat metric

    No, the electromagnetic tensor F -> F_01 and F_10 components.
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    Construct electromagnetic stress-energy tensor for a non-flat metric

    I mean equation 6, the electromagnetic tensor defined there has only two components, F_01 and F_10: You can see that it has the metric potentials inside: \Phi and \Lambda
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    Construct electromagnetic stress-energy tensor for a non-flat metric

    Are you sure? Look for example at this paper: http://arxiv.org/pdf/0907.5537v2 We can see at equation 6 that the electromagnetic tensor has functions of the metric that are to be found. There they use the Maxwell equations to find this tensor, but since I have no charge or currents, I want to...
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    Construct electromagnetic stress-energy tensor for a non-flat metric

    Right, but what would be the form of the emt F? I know that there will be some metric functions inside (the metric is not flat), but I don't know how to construct it. From F I can calculate the stress-energy tensor. Thank you
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    Construct electromagnetic stress-energy tensor for a non-flat metric

    Hi, I am having problems in constructing a stress-energy tensor representing a constant magnetic field Bz in the \hat{z} direction. The coordinate system is a cylindric {t,r,z,\varphi}. The metric signature is (+,-,-,-). I ended with the following mixed stress-energy tensor: Is this...
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    Stress-energy tensor definition

    To enrich this topic a little more (not mine): http://equatorfreq.wordpress.com/2010/08/13/signs-in-einsteins-equation/
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    Stress-energy tensor definition

    That's it. Thanks again
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