The world is not enough

Abstract

We show that the 5-dimensional model introduced by Randall and Sundrum is (half of) a wormhole, and that this is a general result in models of the RS type. We also discuss the gravitational trapping of a scalar particle in 5-d spacetimes. Finally, we present a simple model of brane-world cosmology in which the background is a static anti-de Sitter manifold, and the location of the two 3-branes is determined by the technique of ``surgical grafting''.

To be published in Phys. Rev. D with the title: ``Wormhole-surgery and cosmology on the brane: The world is not enough''. This revised version includes a discussion on the mechanism of gravitational trapping for a scalar particle which will not be published in the journal

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• Quintessence, super-quintessence and observable quantities in Brans-Dicke and non-minimally coupled theories
• Wormhole Geometries In $f(R,T)$ Gravity
• Generalized model for anisotropic compact stars
• Electromagnetic signatures of thin accretion disks in wormhole geometries
• Thin-shell wormholes in d-dimensional general relativity: Solutions, properties, and stability
• A general class of braneworld wormholes
• General class of wormhole geometries in conformal Weyl gravity
• Modelling of anisotropic compact stars of emebedding class one
• Microlensing by natural wormholes: theory and simulations
• General class of vacuum Brans-Dicke wormholes
• Conformally symmetric traversable wormholes
• Self-sustained traversable wormholes in noncommutative geometry
• A new model for spherically symmetric charged compact stars of embedding class one
• Static traversable wormhole solutions in $f(R,L_m)$ gravity
• Traversable wormholes in the extended teleparallel theory of gravity with matter coupling
• Solar system tests of brane world models
• Novel third-order Lovelock wormhole solutions
• Holographic RG and Cosmology in Theories with Quasi-Localized Gravity
• Self-sustained wormholes in modified dispersion relations
• Nonminimal coupling for the gravitational and electromagnetic fields: Traversable electric wormholes
• Exact wormhole solutions with nonminimal kinetic coupling
• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• Scalar wormholes in cosmological setting and their instability
• Resource Letter on geometrical results for Embeddings and Branes
• Exotic solutions in General Relativity: Traversable wormholes and 'warp drive' spacetimes
• Relativistic electromagnetic mass models in spherically symmetric spacetime
• Non-minimal Wu-Yang wormhole
• A Study of stable wormhole solution with non-commutative geometry in the framework of linear $f(R,{\mathcal{L}}_m,T)$ gravity
• Stability of Thin-Shell Wormholes in Nonlinear Electrodynamics
• Exact solutions of Brans-Dicke wormholes in the presence of matter
• On possible wormhole solutions supported by non-commutative geometry within $f(R,L_m)$ gravity
• Possibility of hyperbolic tunneling
• Brane Worlds, String Cosmology, and AdS/CFT
• Exploring wormhole solutions in curvature-matter coupling gravity supported by noncommutative geometry and conformal symmetry
• WKB metastable quantum states of a de Sitter--Reissner-Nordstroem dust shell
• Geometric structures of Morris-Thorne wormhole metric in $f(R,L_m)$ gravity and energy conditions
• Wormhole and its Analogue in Brane World
• Conformally symmetric wormhole solutions supported by non-commutative geometry in $f(Q,T)$ gravity
• Higher-Dimensional Bulk Wormholes and their Manifestations in Brane Worlds
• A Spectral Approach for Quasinormal Frequencies of Noncommutative Geometry-inspired Wormholes
• Comments on Brane World Cosmology
• Possible observation sequences of Brans-Dicke wormholes
• Dynamical and thermodynamical stability of a charged thin-shell wormhole
• Some Specific Wormhole Solutions in Extended $f(R,G,T)$ Gravity
• Casimir Wormholes in Brans-Dicke Theory
• Matter Geometry Coupling and Casimir Wormhole Geometry
• Denouement of a Wormhole-Brane Encounter