General relativistic spinning fluids with a modified projection tensor

Details General relativistic spinning fluids with a modified projection tensor General relativistic spinning fluids with a modified projection tensor

2010-05-18

arxiv.org/abs/1005.3108v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Submitted to General Relativity and Gravitation

Scientific paper

10.1007/s10714-010-0943-2

An energy-momentum tensor for general relativistic spinning fluids compatible with Tulczyjew-type supplementary condition is derived from the variation of a general Lagrangian with unspecified explicit form. This tensor is the sum of a term containing the Belinfante-Rosenfeld tensor and a modified perfect-fluid energy-momentum tensor in which the four-velocity is replaced by a unit four-vector in the direction of fluid momentum. The equations of motion are obtained and it is shown that they admit a Friedmann-Robertson-Walker space-time as a solution.

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