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|Type:||Artigo de periódico|
|Title:||Volume elements and torsion|
|Abstract:||We reexamine here the issue of consistency of minimal action formulation with the minimal coupling procedure (MCP) in spaces with torsion. In Riemann-Cartan spaces, it is known that a proper use of the MCP requires that the trace of the torsion tensor be a gradient, T-mu = partial derivative(mu)theta, and that the modified volume element tau(theta) = e(theta)root gdx(1) boolean AND (...) boolean AND dx(n) be used in the action formulation of a physical model. We rederive this result here under considerably weaker assumptions, reinforcing some recent results about the inadequacy of propagating torsion theories of gravity to explain the available observational data. The results presented here also open the door to possible applications of the modified volume element in the geometric theory of crystalline defects. (c) 2005 American Institute of Physics.|
|Editor:||Amer Inst Physics|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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