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Gravitating kinks with asymptotically flat metrics

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arxiv 2402.05486 v1 pith:KZV3I5UV submitted 2024-02-08 hep-th gr-qc

classification hep-thgr-qc
keywords asymptoticallymatterscalarsolutionsdilatonfieldfieldsflat
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abstract

In this work, we consider a two-dimensional (2D) dilaton gravity model where the dilaton kinetic term $\mathcal{X}$ is modified by an additional derivative coupling term $\alpha\mathcal{X}^2$. In the case with a canonical scalar matter field, the field equations of this model have a simple first-order formalism, from which exact static kink solutions can be constructed. The novelty of these solutions is that the corresponding metric can be asymptotically flat rather than asymptotically anti de Sitter. The linear stability and the localization of scalar matter fields are also studied. It was found that the solutions are stable against small linear perturbations, and the localization of scalar matter fields can be realized by introducing scalar-kink interactions.

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Cited by 3 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. Constructing A Finite Tension Domain Wall in $\phi^4_4$

    hep-th 2024-11 accept novelty 6.0 of 10

    The one-loop domain wall tension in φ^4_4 is finite because the positive divergence from the displacement operator is exactly cancelled by the negative divergence from the squeeze (Bogoliubov) contribution.

  3. First Law for Nonsingular Black Holes in 2D Dilaton Gravity

    gr-qc 2026-03 reject novelty 4.0 of 10

    For 2D nonsingular dilaton black holes with A=f+c, the first law holds with energy E=-c/2 once the asymptotic time translation is properly normalized.

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