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The perfect-fluid tensor in the non-symmetric theory of gravitation

D E Vincent

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The perfect-fluid energy-momentum tensor in the non-symmetric gravitation theory (NGT) is derived using a fluid variational technique. Two different approaches are used. The first involves conservation of rest mass as a fundamental fluid constraint in the total Lagrangian while the second involves the assumption of an equation of state P=P( rho 0). The relativistic fluid conservation equation and the Euler equation of motion for NGT are obtained using the derived fluid tensor.


PACS

04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields

04.25.-g Approximation methods; equations of motion

MSC

83C10 Equations of motion

83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories

Subjects

Gravitation and cosmology

Dates

Issue 3 (May 1985)



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