Inflating wormholes in the braneworld models

Abstract

The braneworld model, in which our Universe is a three-brane embedded in a five-dimensional bulk, allows the existence of wormholes, without any violation of the energy conditions. A fundamental ingredient of traversable wormholes is the violation of the null energy condition (NEC). However, in the brane world models, the stress energy tensor confined on the brane, threading the wormhole, satisfies the NEC. In conventional general relativity, wormholes existing before inflation can be significantly enlarged by the expanding spacetime. We investigate the evolution of an inflating wormhole in the brane world scenario, in which the wormhole is supported by the nonlocal brane world effects. As a first step in our study we consider the possibility of embedding a four-dimensional brane world wormhole into a five dimensional bulk. The conditions for the embedding are obtained by studying the junction conditions for the wormhole geometry, as well as the full set of the five dimensional bulk field equations. For the description of the inflation we adopt the chaotic inflation model. We study the dynamics of the brane world wormholes during the exponential inflation stage, and in the stage of the oscillating scalar field. A particular exact solution corresponding to a zero redshift wormhole is also obtained. The resulting evolution shows that while the physical and geometrical parameters of a zero redshift wormhole decay naturally, a wormhole satisfying some very general initial conditions could turn into a black hole, and exist forever.

30 pages, no figures, accepted for publication in CQG

References in corpus (20)

• Wormhole geometries in f(R) modified theories of gravity
• Thin accretion disks in stationary axisymmetric wormhole spacetimes
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Electromagnetic signatures of thin accretion disks in wormhole geometries
• A general class of braneworld wormholes
• General class of wormhole geometries in conformal Weyl gravity
• Wormholes supported by polytropic phantom energy
• The virial theorem and the dynamics of clusters of galaxies in the brane world models
• Conformally symmetric traversable wormholes
• Self-sustained traversable wormholes in noncommutative geometry
• Wormhole geometries with conformal motions
• Brane-world cosmology with black strings
• Jacobi stability of the vacuum in the static spherically symmetric brane world models
• Galactic dark matter as a bulk effect on the brane
• Anisotropic brane gravity with a confining potential
• Spherically symmetric problem on the brane and galactic rotation curves
• Gravitational dynamics in s+1+1 dimensions II. Hamiltonian theory
• Inflation and late time acceleration in braneworld cosmological models with varying brane tension
• Covariant gravitational dynamics in 3+1+1 dimensions
• 3+1+1 dimensional covariant gravitational dynamics on an asymmetrically embedded brane

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• Generalized uncertainty principle corrections in Rastall-Rainbow Casimir wormholes
• Wormhole in $f(Q)$ gravity
• Can extra dimensional effects allow wormholes without exotic matter?
• Evolving wormhole in the brane-world scenario
• Possibility of the Traversable Wormholes in the Galactic Halos within $4D$ Einstein-Gauss-Bonnet Gravity
• Generalised Ellis-Bronnikov wormholes embedded in warped braneworld background and energy conditions
• Deformations of the vacuum solutions of general relativity subjected to linear constraints
• Geodesics in Generalised Ellis-Bronnikov Spacetime Embedded in Warped 5D Background
• A new shape function and some specific wormhole solutions in braneworld scenario