Pure geometric thick f(R)-branes: stability and localization of gravity

2015/07/31 by Yuan Zhong, Yu-Xiao Liu
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Einstein #Gravitation #Metric (unit) #Mode (computer interface) #Noncommutative and Quantum Gravity Theories #Scalar (mathematics) #Stability (learning theory) #Zero (linguistics) #gr-qc #hep-th

paper · pdf · doi:10.1140/epjc/s10052-016-4163-0

published as Eur. Phys. J. C76 (2016) 321 · 7 pages, 2 figures, improved version, accepted by Eur. Phys. J. C

openalex publication_date 2016/06/01 · arxiv created 2016/06/08 · arxiv updated 2016/06/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study two exactly solvable five-dimensional thick brane world models in pure metric f ( R ) gravity. Working in the Einstein frame, we show that these solutions are stable against small linear perturbations, including the tensor, vector, and scalar modes. For both models, the corresponding gravitational zero mode is localized on the brane, which leads to the four-dimensional Newton law; while the massive modes are non-localized and only contribute a small correction to the Newton law at a large distance.

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