On the asymmetric non-canonical braneworld in five dimensions

TL;DR

This paper explores a five-dimensional braneworld model with symmetric and asymmetric domain walls, analyzing gravitational localization, stability, and the effects of non-canonical dynamics on massive mode profiles.

Contribution

It introduces a novel five-dimensional braneworld framework with non-canonical dynamics, examining gravitational perturbations and matter sector effects on mode localization.

Findings

Brane splitting is absent in both canonical and non-canonical theories.

Four-dimensional fluctuations are localized on the 3-branes, ensuring stability.

Non-canonical dynamics lead to asymmetric massive modes away from the brane.

Abstract

Revisiting Einstein's gravitational theory, we build a five-dimensional braneworld. Within this framework, one announces the appearance of symmetric and asymmetric domain walls. Furthermore, it examines the emergent four-dimensional gravity from a theory with non-canonical dynamics. Exploring the physical and mathematical aspects, e.g., brane's energy density and the Kaluza-Klein (KK) spectrum, one verifies that brane splitting is absent in the canonical and non-canonical theories. Additionally, we note the localization of the four-dimensional fluctuation projection on the 3-branes, which ensures the theory's stability. Thereby, one can conclude that the behavior of gravitational perturbations of the domain wall maintains a profile similar to a stable and non-localizable tower of massive modes. In contrast, within the brane core, the matter sector generates new barriers and potential wells, resulting in massive modes with approximately symmetric amplitudes. However, the non-canonical dynamics generate massive modes with asymmetric amplitudes far from the 3-brane.