Wormholes and solitonic shells in five-dimensional DGP theory

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 $\mu$ 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 $\mu >0$.

11 pages, 8 figures, revtex4 style. References added

References in corpus (58)

• 4D Gravity on a Brane in 5D Minkowski Space
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Cosmology on a Brane in Minkowski Bulk
• Traversable wormholes: Some simple examples
• Strong Interactions and Stability in the DGP Model
• Traversable wormholes with arbitrarily small energy condition violations
• Wormhole geometries in f(R) modified theories of gravity
• Thin-shell wormholes: Linearization stability
• Gravity on a Brane in Infinite-Volume Extra Space
• Classical and Quantum Consistency of the DGP Model
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Geometric structure of the generic static traversable wormhole throat
• Dynamic wormholes, anti-trapped surfaces, and energy conditions
• The null energy condition in dynamic wormholes
• Twilight for the energy conditions?
• Linearized stability analysis of thin-shell wormholes with a cosmological constant
• The Phenomenology of Dvali-Gabadadze-Porrati Cosmologies
• More on ghosts in DGP model
• Linearized stability of charged thin-shell wormholes
• Gravitational Leakage into Extra Dimensions: Probing Dark Energy Using Local Gravity
• DGP Specteroscopy
• Supernovae, CMB, and Gravitational Leakage into Extra Dimensions
• Junctions and thin shells in general relativity using computer algebra I: The Darmois-Israel Formalism
• Scales of Gravity
• Static wormhole solution for higher-dimensional gravity in vacuum
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity
• Are there ghosts in the self-accelerating brane universe?
• Thin-shell wormholes in Einstein-Maxwell theory with a Gauss-Bonnet term
• Effective Gravitational Equations on Brane World with Induced Gravity
• Stability of thin-shell wormholes with spherical symmetry
• Thin-shell wormholes supported by ordinary matter in Einstein--Gauss--Bonnet gravity
• A general class of braneworld wormholes
• Thin shell wormholes in higher dimensiaonal Einstein-Maxwell theory
• General class of wormhole geometries in conformal Weyl gravity
• Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
• Small localized black holes in a braneworld: Formulation and numerical method
• Thin-shell wormholes in dilaton gravity
• General class of vacuum Brans-Dicke wormholes
• Thin-shell wormholes in Brans-Dicke gravity
• Weak gravity in DGP braneworld model
• A New Perspective on DGP Gravity
• Schwarzschild solution in brane induced gravity
• Volume Integral Theorem for Exotic Matter
• Gravitational solitons and $C^0$ vacuum metrics in five-dimensional Lovelock gravity
• Unexorcized ghost in DGP brane world
• Energetics in Condensate Star and Wormholes
• Some Thoughts on Energy Conditions and Wormholes
• Traversable wormholes in a string cloud
• Superluminality in DGP
• Expanding $(n+1)$-Dimensional Wormhole Solutions in Brans-Dicke Cosmology
• Once again on thin-shell wormholes in scalar-tensor gravity
• CFT driven cosmology and the DGP/CFT correspondence
• Dirac Relaxation of the Israel Junction Conditions: Unified Randall-Sundrum Brane Theory
• Solar system constraints on the Dvali-Gabadadze-Porrati braneworld theory of gravity
• Static wormholes in vacuum for conformal gravity
• Mass Screening in Modified Gravity
• On the perspectives of testing the Dvali-Gabadadze-Porrati gravity model with the outer planets of the Solar System

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