Braneworld Dynamics and Extra Dimensions

Braneworld scenarios posit that our observable universe is a four-dimensional “brane” embedded in a higher-dimensional “bulk”, with gravity and other fields propagating differently across these dimensions. The geometry is often described by a warp factor that scales distances along the extra dimension, allowing localisation of graviton zero modes and recovery of Newtonian gravity on the brane. Thick-brane models introduce a scalar field or modified gravity to generate smooth domain-wall profiles, improving stability and offering rich internal structures such as multikink configurations. Extensions of general relativity—incorporating Gauss-Bonnet invariants, teleparallel torsion (f(T) gravity), Rastall non-conservation, or f(R,T) couplings—modify the bulk dynamics, alter perturbation spectra and lead to new mechanisms for field localisation. Quasinormal and resonant modes of gravitational or gauge perturbations characterise the response of the system to disturbances and provide potential observational signatures via gravitational-wave or collider experiments. These frameworks aim to address fundamental questions in high-energy physics, cosmology and the hierarchy problem, while offering concrete models for early-universe inflation, dark matter portals and novel phenomenology accessible to next-generation detectors.

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Braneworld Dynamics and Extra Dimensions publication trend

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Technical terms

Brane: A four-dimensional hypersurface representing our universe within a higher-dimensional bulk.

Bulk: The higher-dimensional space in which one or more branes are embedded.

Warp factor: A function of extra-dimensional coordinates that scales the metric and shapes gravitational localisation.

Extra dimension: A spatial dimension beyond the familiar three, which may be compactified or noncompact and warped.

Quasinormal mode: A damped oscillation mode of perturbations in a gravitational or field configuration.

Gauss-Bonnet term: A higher-order curvature invariant modifying Einstein’s equations in dimensions greater than four.

Teleparallel gravity: A formulation of gravity using torsion instead of curvature, appearing in f(T) theories.

Localisation: The confinement of fields or gravitational modes to the brane rather than propagating freely in the bulk.

Resonant mode: A quasi-bound state in the spectrum of bulk fields with finite lifetime and peaked probability near the brane.

References

1. Quasibound and quasinormal modes of a thick brane in Rastall gravity. Journal of High Energy Physics (2024).
2. Multikink brane in Gauss-Bonnet gravity and its stability. Physical Review D (2023).
3. Gauge field localization in branes: coupling to a scalar function and coupling to torsion in teleparallel gravity scenario. European Physical Journal C (2023).