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I Clarification about lorentz group

  1. May 4, 2017 #1
    Hello! I read that for a boost, for which we have a matrix ##\Lambda## we must satisfy ##\Lambda_\alpha^\mu g_{\mu \nu} \Lambda_\eta^\nu = g_{\alpha \beta}##. I am not sure I understand this. If we have a boost along the x axis the ##\Lambda_0^0## component is ##\gamma##, but ##\gamma^2 \neq 1 = g_{00}##. So how do I apply that formula? Thank you
     
  2. jcsd
  3. May 4, 2017 #2

    PeterDonis

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    2016 Award

    Staff: Mentor

    Write it out explicitly in matrix form. Hint: the 0-0 component of the RHS does not depend solely on the 0-0 components of the matrices on the LHS. Remember the Einstein summation convention.
     
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