The Exterior Calculus of Quadratic Gravity
General Relativity and Quantum Cosmology
2025-05-26 v4
Abstract
The metric tensor field equations for the general quadratic curvature gravity in four spacetime dimensions are derived by making use of the algebra of the exterior forms defined on pseudo-Riemannian manifolds and the identities satisfied by the Riemann curvature tensor. The linearized metric field equations are formulated in terms of perturbation 1-form fields.
Keywords
Cite
@article{arxiv.2411.00624,
title = {The Exterior Calculus of Quadratic Gravity},
author = {Metin Arık and Ahmet Baykal and Tekin Dereli and Taner Tanrıverdi},
journal= {arXiv preprint arXiv:2411.00624},
year = {2025}
}
Comments
27 pages