Generalized approach for the perturbative dynamical braneworld in D dimensions

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2024-07, Vol.84 (7), p.738-11, Article 738
• Main Authors: Lin, Zi-Chao, Yu, Hao, Gong, Yungui
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Branes; Coordinate transformations; Cosmological constant; Cosmology; Elementary Particles; Energy; Gravity; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Motion stability; Nuclear Energy; Nuclear Physics; Parameterization; Perturbation; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; Spacetime; String Theory; Universe
• ISSN: 1434-6052; 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-024-13098-6

In this paper, we propose an approach to derive the brane cosmology in the D -dimensional braneworld model. We generalize the “bulk-based” approach by treating the 4-brane as a small perturbation to the D -dimensional spherically symmetric spacetime. The linear corrections from a static 4-brane to the metric are derived from the linearized perturbation equations, while the nonlinear corrections are found by a parameterization of the perturbed metric solution. We use a time-dependent generalization to give the nonlinearly perturbed metric solution for the dynamical braneworld model, and analyze the stability of the model under the motion of the 4-brane. Through the fine tuning, we can recover the Friedmann equations for the universe with and without an effective cosmological constant. More importantly, the de Sitter expansion of the universe can be reproduced.