Wormholes and solitonic shells in five-dimensional DGP theory

Details Wormholes and solitonic shells in five-dimensional DGP theory Wormholes and solitonic shells in five-dimensional DGP theory

2010-03-03

arxiv.org/abs/1003.0741v4

Phys.Rev.D82:044021,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 8 figures, revtex4 style. References added

Scientific paper

10.1103/PhysRevD.82.044021

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 $\mu$ and crossover scale $r_{c}$ 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 $\mu>0$.

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