The exterior calculus of quadratic gravity

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 the pseudo-Riemannian manifolds and the identities satisfied by the Riemann curvature tensor. The linearized metric field equations are formulated in terms of the perturbation 1-form fields.

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Publication Details

Journal
International Journal of Modern Physics D
Published
2025-03-06
DOI
https://doi.org/10.1142/s0218271825500282
Primary Topic
Geophysics and Gravity Measurements
Type
article
Field-Weighted Citation Impact
0.00
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article

The exterior calculus of quadratic gravity

Tekin Dereli, T. Tanrıverdi, Metin Arık, Ahmet Baykal
International Journal of Modern Physics D
Geophysics and Gravity Measurements
article

The exterior calculus of quadratic gravity

Tekin Dereli, T. Tanrıverdi, Metin Arık, Ahmet Baykal
article en

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 the pseudo-Riemannian manifolds and the identities satisfied by the Riemann curvature tensor. The linearized metric field equations are formulated in terms of the perturbation 1-form fields.

International Journal of Modern Physics DVol. 34(07n08)
Koç University (TR), Niğde Ömer Halisdemir Üniversitesi (TR), Boğaziçi University (TR), Maltepe University (TR)
Openalex Percentile: Top 97%
Geophysics and Gravity Measurements
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The exterior calculus of quadratic gravity — Tekin Dereli, T. Tanrıverdi, et al. · International Journal of Modern Physics D (2025) | TGRS Research Map | TGRS