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Does definition of torsion depend upon the metric signature?

  1. Apr 17, 2015 #1
    I'm looking at 2 sources.

    One has it defined as ##T^{c}_{ab}=-\Gamma^{c}_{ab}+\Gamma^{c}_{ba}##
    And the other has ##T^{c}_{ab}=\Gamma^{c}_{ab}-\Gamma^{c}_{ba}##

    ##T## the torsion tensor
    and
    ##\Gamma^{c}_{ab}## the connection.

    Or is it more that different texts use different conventions?

    Thanks.
     
    Last edited: Apr 17, 2015
  2. jcsd
  3. Apr 18, 2015 #2

    robphy

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    What are those sources?
    What are their definitions of Riemann and Ricci?
     
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