Year: 2022
Type: article
Abstract: 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.
Source: Physics Letters B
Authors: Ulf Lindström, Özgür Sarıoğlu
Institutions: Uppsala University, Middle East Technical University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Award: G3043164775
OpenAlex ID: W4310805226