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Four-dimensional gravity on a thick domain wall

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arxiv hep-th/9912060 v2 pith:KHOXX763 submitted 1999-12-08 hep-th

classification hep-th
keywords considerdomainfour-dimensionalgravitymodelresonancestherethick
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We consider an especially simple version of a thick domain wall in $AdS$ space and investigate how four-dimensional gravity arises in this context. The model we consider has the advantage, that the equivalent quantum mechanics problem can be stated in closed form. The potential in this Schr\"odinger equation suggests that there could be resonances in the spectrum of the continuum modes. We demonstrate that there are no such resonances in the model we consider.

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Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Kink collisions in a two-dimensional gravity model

    hep-th 2026-07 conditional novelty 6.0 of 10

    In a 2D dilaton-gravity model, stronger gravity shifts kink-antikink bounce windows to higher speeds and narrows them, leaves a lasting contraction of the conformal scale, and produces no curvature singularity in the ...

  2. Thick branes and fermion localization in five-dimensional $f(T,T_G)$ gravity

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    In 5D f(T, T_G) gravity, thick branes develop splitting and internal structure controlled by the coupling, while supporting a normalizable chiral fermion zero mode and modified resonant Kaluza-Klein states due to the ...

  3. Quasinormal Ringing of de Sitter Braneworlds

    gr-qc 2024-12 conditional novelty 6.0 of 10

    Thin and thick de Sitter braneworlds have discrete, purely imaginary quasinormal frequencies for gravitational perturbations, with decay rates set by the Hubble constant and, for thick branes, by the brane width parameter.

  4. 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.

  5. Real Part Emergence in Purely Imaginary Quasinormal Modes in Perturbed de Sitter Braneworlds

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Perturbations on a thick de Sitter brane induce a real part in previously purely imaginary quasinormal modes, creating intermediate oscillatory signatures in time-domain signals while late-time behavior stays zero-mod...

  6. Interactions between different Kaluza-Klein modes in brane world

    hep-th 2024-12 unverdicted novelty 5.0 of 10

    The Orthonormal Completeness Hypothesis implies universal interactions between KK modes in brane-world effective actions for U(1) gauge and fermion fields.

  7. Two-scalar-field $f(R)$ Thick Branes, Gravitational Resonances and Quasinormal Modes

    hep-th 2026-06 unverdicted novelty 4.0 of 10

    In ghost-free two-scalar f(R) thick branes, internal structure produces no narrow real-axis tensor resonances; quasinormal modes are broad with quality factors 0.9-1.9.

  8. 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.

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