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arXiv · 2411.00624

The Exterior Calculus of Quadratic Gravity

Metin Arık·Ahmet Baykal·Tekin Dereli·Taner Tanrıverdi
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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.

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Metin Arık, Ahmet Baykal, Tekin Dereli, Taner Tanrıverdi. 2024-11-01. The Exterior Calculus of Quadratic Gravity. https://doi.org/10.1142/s0218271825500282

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