Recent content by feiye

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    Proving Variation of Metric K^{a b} with Killing Vector

    I have got the right answer from my senior fellow apprentice. It is in the attachment. Whatever thank you very much!
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    Proving Variation of Metric K^{a b} with Killing Vector

    Thanks very much for your reply. You are so kind! The arxiv "1306.2138"(you linked) is the original paper I read, and the attachment is an PPT which is just a work related with 1306.2138. So the equation numberings is different. But the problem is in the 1306.2138. we will start from the...
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    Proving Variation of Metric K^{a b} with Killing Vector

    Thanks for your reply! There is something wrong with your reply, maybe the reason is I don't explain it clear. h_{a b}≠0. If you want to know more, please refer to arXiv:1306.2138[hep-th]. the 1st equation in the last page.
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    Proving Variation of Metric K^{a b} with Killing Vector

    if we know K^{a b}= (∇^a*ζ^b -∇^b*ζ^a)/2, ζ is a killing vector, under the variation of metric g_{a b}→g_{a b}+δ(g_{a b}) which preserves the Killing vector δ(ζ^a)=0, h_{a b} = δ(g_{a b}) = ∇^a*ζ^b +∇^b*ζ^a, how to prove δ(K^{a b})= ζ_c*∇^a*h^{b c} - h^{c a}*∇_c*ζ^b - (...
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