Evolving wormhole in the brane-world scenario

Abstract

In this paper, evolving wormholes in the context of brane-world scenario are investigated. We have studied the possible dynamic solutions with different forms of Ricci scalar. The possibility of existence of dynamic traversable wormholes, without resorting to an exotic matter, has been studied. By using the fact that the Einstein field equations are modified in 3+1 dimensions due to the brane corrections, we investigate the exact solutions which satisfy null energy condition. Asymptotic flatness is an important property of these solutions. We discuss some physical and mathematical properties of the solutions.

11 pages, 7 figures

References in corpus (50)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Einstein Equations on the 3-Brane World
• Brane-world gravity
• Traversable wormholes with arbitrarily small energy condition violations
• Wormhole geometries in f(R) modified theories of gravity
• Phantom energy traversable wormholes
• Wormholes supported by a phantom energy
• Dynamic wormholes, anti-trapped surfaces, and energy conditions
• Possible wormholes in a brane world
• Modelling wormholes in $f(R,T)$ gravity
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Generic spherically symmetric dynamic thin-shell traversable wormholes in standard general relativity
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Linearized stability of charged thin-shell wormholes
• Inflating Lorentzian Wormholes
• Wormhole Geometries In $f(R,T)$ Gravity
• Evolving Lorentzian Wormholes
• Brans-Dicke wormholes in the Jordan and Einstein frames
• A general class of braneworld wormholes
• Wormholes without exotic matter in Einstein-Cartan theory
• Quantifying energy condition violations in traversable wormholes
• New asymptotically flat phantom wormhole solutions
• Thin-shell wormholes in dilaton gravity
• Evolving wormhole geometries
• Echoes in brane worlds: ringing at a black hole--wormhole transition
• Evolving wormhole geometries within nonlinear electrodynamics
• Self sustained phantom wormholes in semi-classical gravity
• Higher-dimensional evolving wormholes satisfying the null energy condition
• R=0 spacetimes and self-dual Lorentzian wormholes
• Wormhole solutions in the Randall-Sundrum scenario
• Exotica ex nihilo: Traversable wormholes & non-singular black holes from the vacuum of quadratic gravity
• Exactly solvable model of wormhole supported by phantom energy
• Phantom fluid supporting traversable wormholes in alternative gravity with extra material terms
• Can extra dimensional effects allow wormholes without exotic matter?
• $f(R)$ gravity solutions for evolving wormholes
• Necessary conditions for having wormholes in f(R) gravity
• On Wormholes supported by phantom energy
• Two-fluid evolving Lorentzian wormholes
• Dynamic wormhole solutions in Einstein-Cartan gravity
• Wormhole solutions with a polynomial equation-of-state and minimal violation of the null energy condition
• Expanding $(n+1)$-Dimensional Wormhole Solutions in Brans-Dicke Cosmology
• Asymptotically flat wormhole solutions with variable equation-of-state parameter
• Self-similar cosmological solutions with dark energy. I: formulation and asymptotic analysis
• Phantom Wormhole Solutions in a Generic Cosmological Constant Background
• (N+1)-dimensional Lorentzian evolving wormholes supported by polytropic matter
• Wormhole on DGP brane
• Inflating wormholes in the braneworld models
• Stability of Schwarzschild-$f(R)$ gravity thin-shell wormholes
• Note on the Schwarzschild-phantom wormhole

Cited by in corpus (11)

• Wormhole in $f(Q)$ gravity
• Static spherically symmetric wormholes in $f(Q,T)$ gravity
• Dynamic wormhole geometries in hybrid metric-Palatini gravity
• A Study of stable wormhole solution with non-commutative geometry in the framework of linear $f(R,{\mathcal{L}}_m,T)$ gravity
• Non-exotic static spherically symmetric thin-shell wormhole solution in $f(Q,T)$ gravity
• Dynamical wormholes in Lovelock gravity
• Wormhole Geometry and Three-Dimensional Embedding in Extended Symmetric Teleparallel Gravity
• Some specific wormhole solutions in $f(R)$-modified gravity theory
• Wormhole solutions in generalized Rastall gravity
• Evolving Wormholes in a Cosmological Background
• A new shape function and some specific wormhole solutions in braneworld scenario