Universal field equations for metric-affine theories of gravity

preprint2006arXivOpen access

Abstract

We show that almost all metric--affine theories of gravity yield Einstein equations with a non--null cosmological constant ΛΛ. Under certain circumstances and for any dimension, it is also possible to incorporate a Weyl vector field WμW_μ and therefore the presence of an anisotropy. The viability of these field equations is discussed in view of recent astrophysical observations.

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