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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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7 pages, Latex, 0 figures

Scientific paper

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 $P(\frac{1}{I} M,U(1))$, $M$ being the space-time and $I$ the
radius of the internal space $U(1)$.

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