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Gauge-invariant fluctuations of scalar branes

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arxiv hep-th/0106041 v1 pith:MHFKVDEN submitted 2001-06-05 hep-th gr-qchep-ph

Massimo Giovannini (Institute for Theoretical Physics , Lausanne University) This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords fluctuationsmodesscalarbranebardeendetermininggauge-invariantgeometry
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A generalization of the Bardeen formalism to the case of warped geometries is presented. The system determining the gauge-invariant fluctuations of the metric induced by the scalar fluctuations of the brane is reduced to a set of Schr\"odinger-like equations for the Bardeen potentials and for the canonical normal modes of the scalar-tensor action. Scalar, vector and tensor modes of the geometry are classified according to four-dimensional Lorentz transformations. While the tensor modes of the geometry live on the brane determining the corrections to Newton law, the scalar and and vector fluctuations exhibit non normalizable zero modes and are, consequently, not localized on the brane. The spectrum of the massive modes of the fluctuations is analyzed using supersymmetric quantum mechanics.

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Cited by 3 Pith papers

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  1. Quasinormal modes of scalar perturbations in Rastall thick brane

    gr-qc 2026-07 conditional novelty 5.0 of 10

    The graviscalar quasinormal mode spectrum and late-time power-law tails of a Rastall thick brane are computed numerically, showing that the Rastall parameter λ controls mode lifetimes and tail exponents.

  2. Scalar-gravitational quasinormal modes and echoes in a five dimensional thick brane

    gr-qc 2025-08 conditional novelty 4.0 of 10

    Scalar perturbations of a split five-dimensional thick brane yield long-lived quasinormal modes and position-dependent echo waveforms: clean periodic echoes on a sub-brane and modulated echoes between sub-branes.

  3. Configurational entropy and instability of tachyonic braneworld

    hep-th 2019-08 conditional novelty 4.0 of 10

    In a tachyonic braneworld, configurational entropy has a minimum at a critical scale-factor rate for AdS or flat bulk, and the paper suggests this rate sets cosmic acceleration or inflation, though the physical link i...

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