Universal field equations for metric-affine theories of gravity

Abstract

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

13 pages. This is a copy of the published paper. We are posting it here because of the increasing interest in f(R) theories of gravity

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