A comment on metric vs metric-affine gravity
Physics Letters B, ISSN: 0370-2693, Vol: 836, Page: 137619
2023
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Article Description
We consider the sum of the Einstein-Hilbert action and a Pontryagin density (PD) in arbitrary even dimension D≥4. All curvatures are functions of independent affine (torsionless) connections only. In arbitrary even dimension, not only in D=4n, these first order PD terms are shown to be covariant divergences of “Chern-Simons” currents. The field equation for the connection leads to it being Levi-Civita, and to the metric and affine field equations being equivalent to the second order metric theory. This result is a counterexample to the theorem stating that purely metric and metric-affine models can only be equivalent for Lovelock theories.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0370269322007535; http://dx.doi.org/10.1016/j.physletb.2022.137619; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85146413249&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0370269322007535; https://dx.doi.org/10.1016/j.physletb.2022.137619
Elsevier BV
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