On the viability of f(Q) gravity models

De, Avik and Loo, Tee-How (2023) On the viability of f(Q) gravity models. Classical and Quantum Gravity, 40 (11). ISSN 0264-9381, DOI https://doi.org/10.1088/1361-6382/accef7.

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Abstract

In general relativity, the contracted Bianchi identity makes the field equation compatible with the energy conservation, likewise in f (R) theories of gravity. We show that this classical phenomenon is not guaranteed in the symmetric teleparallel theory, and rather generally f (Q) model specific. We further prove that the energy conservation criterion is equivalent to the affine connection's field equation of f (Q) theory, and except the f(Q) = alpha Q+ ss model, the nonlinear f (Q) models do not satisfy the energy conservation or, equivalently the second field equation in every spacetime geometry; unless Q itself is a constant. So the problem is deep-rooted in the theory, several physically motivated examples are provided in the support.

Item Type: Article
Funders: Ministry of Higher Education (MoHE), through the Fundamental Research Grant Scheme [Grant No: FRGS/1/2021/STG06/UTAR/02/1]
Uncontrolled Keywords: Symmetric teleparallel theory; Energy conservation; Metric-affine theory; Modified gravity; Wormhole; Cosmology
Subjects: Q Science > QB Astronomy
Q Science > QC Physics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 08 Nov 2025 04:09
Last Modified: 08 Nov 2025 04:09
URI: http://eprints.um.edu.my/id/eprint/49765

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