Looking for proof of identity from Wheeler's Geometrodynamics
- From: "Jay R. Yablon" <jyablon@xxxxxxxxxxxx>
- Date: Tue, 21 Aug 2007 15:38:15 +0000 (UTC)
Can anyone point me to a proof of the identity stated in footnote 19 of
Wheeler's Geometrodynamics, page 239.
This identity is a follows:
A_ua B^va -*A_ua *B^va=(1/2)lambda_u^v A_abB^ab (1)
where A and B are antisymmetric second rank tensors in a 4-dimensional
spacetime geometry, a,b,u,v are taken to be "Greek" four-dimensional
indexes alpha, beta, mu, nu, and lambda_u^v is the Kronecker delta, and
*A^ab = (1/2) (-g)^.5 eta_abuv A^uv (2)
is the "dual" tensor, where g is the determinant of the metric tensor
and eta_abuv is the totally-antisymmetric Levi-Civita Tensor.
Thanks,
Jay.
____________________________
Jay R. Yablon
Email: jyablon@xxxxxxxxxxxx
co-moderator: sci.physics.foundations
Weblog: http://jayryablon.wordpress.com/
Web Site: http://home.nycap.rr.com/jry/FermionMass.htm
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