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From vacuum field equations on principal bundles to Einstein equations with fluids

M. Montesinos-Velasquez, T. Matos

gr-qcarXiv:gr-qc/9601013

Abstract

In the present work we show that the Einstein equations on M without cosmological constant and with perfect fluid as source, can be obtained from the field equations for vacuum with cosmological constant on the principal fibre bundle P(1I M,U(1)), M being the space-time and I the radius of the internal space U(1).

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