Two-brane system in a vacuum bulk with a single equation of state
Juan L. Perez, Ruben Cordero, L. Arturo Urena-Lopez

TL;DR
This paper investigates a two-brane cosmological model in a five-dimensional spacetime with a compactified extra dimension, analyzing how matter fields on each brane are interconnected through Einstein's equations in a vacuum bulk.
Contribution
It provides a novel analysis of matter field interactions on two branes within a vacuum bulk, highlighting their coupled evolution.
Findings
Matter fields on both branes are interconnected.
The evolution of matter fields is not independent.
The Einstein equations link the dynamics of the two branes.
Abstract
We study the cosmology of a two-brane model in a five-dimensional spacetime, where the extra spatial coordinate is compactifed on an orbifold. Additionally, we consider the existence on each brane of matter fields that evolve in time. Solving the Einstein equations in a vacuum bulk, we can show how the matter fields in both branes are connected and they do not evolve independently
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