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Self-interacting Scalar Field Trapped in a Randall-Sundrum Braneworld: The Dynamical Systems Perspective

1 Pith paper cite this work, alongside 22 external citations. Polarity classification is still indexing.

1 Pith paper citing it
22 external citations · Pith
abstract

We apply the dynamical systems tools to study the linear dynamics of a self-interacting scalar field trapped on a Randall-Sundrum brane. The simplest kinds of self-interaction potentials are investigated: a) constant potential, and b) exponential potential. It is shown that the dynamics of the Randall-Sundrum model significantly differs from the standard four-dimensional behavior at early times: in all cases of interest the (singular) empty universe is the past attractor for every trajectory in phase space, meanwhile the kinetic energy-dominated solution is always a saddle critical point. The late-time dynamics is not affected by the brane effects.

fields

gr-qc 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

An Interplay Between Fractional Calculus and Holographic Dark Energy

gr-qc · 2026-06-21 · unverdicted · novelty 5.0

Introduces Fractional Holographic Dark Energy (FHDE) via fractionally corrected entropy from a modified Wheeler-DeWitt equation and studies its late-time cosmology, field reconstructions, and extensions to modified gravity theories.

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Showing 1 of 1 citing paper.

  • An Interplay Between Fractional Calculus and Holographic Dark Energy gr-qc · 2026-06-21 · unverdicted · none · ref 300 · internal anchor

    Introduces Fractional Holographic Dark Energy (FHDE) via fractionally corrected entropy from a modified Wheeler-DeWitt equation and studies its late-time cosmology, field reconstructions, and extensions to modified gravity theories.