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Can the diffeomorphism and Gauss constraints be holonomy corrected in the deformed algebra approach to modified gravity?

Year: 2026

Type: article

Abstract: Deforming the algebra of constraint is a well-known approach to effective loop quantum cosmology. More generally, it is a consistent way to modify gravity from the Hamiltonian perspective. In this framework, the Hamiltonian (scalar) constraint is usually the only one to be holonomy corrected. As a heuristic hypothesis, we consider the possibility to also correct the diffeomorphism and Gauss constraints. It is shown that it is impossible to correct the diffeomorphism constraint without correcting the Gauss one, while maintaining a first-class algebra. However, if all constraints are corrected, the algebra can be closed. The resulting differential equations to be fulfilled by the corrections (of the background and of the perturbations) are derived.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/tm6v-y823

Authors: Jamy-Jayme Thézier, Aurélien Barrau, Killian Martineau, Maxime De Sousa

Institutions: Centre National de la Recherche Scientifique, Institut National de Physique Nucléaire et de Physique des Particules, Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble Alpes

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415947809

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