A ten-year review of polynomial affine gravity, covering the most general diffeomorphism-invariant action, its field equations, cosmological solutions, and emergent metrics.
Non-metric gravity: A status report
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abstract
We review the status of a certain (infinite) class of four-dimensional generally covariant theories propagating two degrees of freedom that are formulated without any direct mention of the metric. General relativity itself (in its Plebanski formulation) belongs to the class, so these theories are examples of modified gravity. We summarize the current understanding of the nature of the modification, of the renormalizability properties of these theories, of their coupling to matter fields, and describe some of their physical properties.
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A polynomial affine model of gravity: after ten years
A ten-year review of polynomial affine gravity, covering the most general diffeomorphism-invariant action, its field equations, cosmological solutions, and emergent metrics.