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Wormholes and solitonic shells in five-dimensional DGP theory

2010/03/31 by Martín G. Richarte · 36 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Circular symmetry #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Crossover #Dark energy #Einstein #Exotic matter #Gravitation #Mathematical physics #Physics #Quantum mechanics #Theoretical physics #Wormhole #astro-ph.CO #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.82.044021

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 82(4) (American Physical Society) · 11 pages, 8 figures, revtex4 style. References added

openalex publication_date 2010/08/11 · arxiv created 2010/09/05 · arxiv updated 2010/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We build five-dimensional spherically symmetric wormholes within the DGP theory. We calculate the energy localized on the shell, and we find that the wormholes could be supported by matter not violating the energy conditions. We also show that solitonic shells characterized by zero pressure and zero energy can exist; thereafter we make some observations regarding their dynamic on the phase plane. In addition, we concentrate on the mechanical stability of wormholes under radial perturbation preserving the original spherical symmetry. In order to do that, we consider linearized perturbations around static solutions. We obtain that for certain values of the mass parameter \ensuremathμ and the crossover scale rc stable wormholes exist with very small values of squared speed sound. Unlike the case of Einstein's gravity, this type of wormholes fulfills the energy conditions. Finally, we show that the gravitational field associated with these wormhole configurations is attractive for \ensuremathμ>0.

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