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Quick question, index notation, alternating tensor.

  1. Dec 26, 2013 #1
    Q) I am using index notation to show that ε[itex]^{0123}[/itex]=-1 given that ε[itex]_{0123}[/itex]=1.

    The soluton is:

    ε[itex]^{0123}[/itex]=g[itex]^{00}[/itex]g[itex]^{11}[/itex]g[itex]^{22}[/itex]g[itex]^{33}[/itex]ε[itex]_{0123}[/itex]=-ε[itex]_{0123}[/itex]

    where g[itex]_{\alpha\beta}[/itex] is the metric tensor.

    I am struggling to understand the last equality.

    Many thanks for any assistance.
     
  2. jcsd
  3. Dec 26, 2013 #2
    g00=-1, correct? Really, η00=-1.
     
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