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Spin coefficient transformation for null rotation with $l$ fixed

  1. Dec 30, 2015 #1
    In Newmann-Penrose formalism, a Null rotation with ##l## fixed is
    $$l^a−>l^a\\
    n^a−>n^a+\bar{c}m^a+c\bar{m}^a+c\bar{c}l^a\\
    m^a−>m^a+cl^a\\
    \bar{m}^a−>\bar{m}^a+\bar{c}l^a$$
    Using this transformation, how to prove?
    $$π−>π+2\bar{c}ϵ+\bar{c}^2κ+D\bar{c}$$
    Ref: 2-Spinors by P.O'Donell, p.no, 65
     
    Last edited by a moderator: Dec 31, 2015
  2. jcsd
  3. Dec 31, 2015 #2

    PeterDonis

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    2016 Award

    Staff: Mentor

    One quick note on LaTeX: LaTeX inline in a paragraph is delimited with two pound signs (2 #), not $. I've fixed the OP of this thread accordingly.
     
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