Relic gravitons on Kasner branes

TL;DR

This paper explores how relic gravitons behave on anisotropic Kasner branes embedded in AdS space, analyzing mode localization, amplification, and spectrum normalization, revealing no mass gap and mass-dependent amplification of modes.

Contribution

It introduces a simple model of anisotropic branes in AdS space, studying graviton mode localization and amplification without a mass gap, including normalization and coupling analysis.

Findings

Massless and massive modes can be amplified on the brane.

No mass gap exists between massless and massive modes.

Massive modes have amplitude depending on their mass.

Abstract

We present a simple model in which a brane with anisotropic metric is embedded in an AdS bulk. We discuss the localization of the massless mode and the amplification of both the massless and the massive modes on the branes, paying particular attention to the normalization of the perturbed action and to the evaluation of the effective coupling constant that controls the amplitude of the spectrum. In the model under investigation there is no mass gap between massless and massive modes, and the massive modes can be amplified, with mass-dependent amplitudes.