An Early Proposal of "Brane World"

Abstract

Here we place the TeX-typeset version of the old preprint SMC-PHYS-66 (1982), which was published in K. Akama, "Pregeometry", in Lecture Notes in Physics, 176, Gauge Theory and Gravitation, Proceedings, Nara, 1982, edited by K. Kikkawa, N. Nakanishi and H. Nariai, (Springer-Verlag) 267--271. In the paper, we presented the picture that we live in a "brane world" (in the present-day terminology) i.e. in a dynamically localized 3-brane in a higher dimensional space. We adopt, as an example, the dynamics of the Nielsen-Olesen vortex type in six dimensional spacetime to localize our space-time within a 3-brane. At low energies, everything is trapped in the 3-brane, and the Einstein gravity is induced through the fluctuations of the 3-brane. The idea is important because it provides a way basically distinct from the "compactification" to hide the extra dimensions which become necessary for various theoretical reasons.

5 pages, no figure

Cited by in corpus (150)

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• Brane-World Gravity
• Lectures on string/brane cosmology
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• Strong gravitational lensing by braneworld black holes
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• Hawking Radiation from a (4+n)-dimensional Black Hole: Exact Results for the Schwarzschild Phase
• Restoring Holographic Dark Energy in Brane Cosmology
• Holographic Dark Energy in Braneworld Models with a Gauss-Bonnet Term in the Bulk. Interacting Behavior and the w =-1 Crossing
• Effective Gravitational Equations on Brane World with Induced Gravity
• The Cosmological Constant Problem from a Brane-World Perspective
• Quantum Cosmology and AdS/CFT
• Covariant Gravitational Equations on Brane World with Gauss-Bonnet term
• Braneworld Cosmology in (Anti)--de Sitter Einstein--Gauss--Bonnet--Maxwell Gravity
• Living on the edge: cosmology on the boundary of anti-de Sitter space
• Flavour physics of the RS model with KK masses reachable at LHC
• No ghost state of Gauss-Bonnet interaction in warped backgrounds
• Bulk and Brane Decay of a (4+n)-Dimensional Schwarzschild-De-Sitter Black Hole: Scalar Radiation
• Brane decay of a (4+n)-dimensional rotating black hole: spin-0 particles
• Braneworld stars and black holes
• Gravity on codimension 2 brane worlds
• Fermion Resonances on Multi-field Thick Branes
• Bulk Matters on Symmetric and Asymmetric de Sitter Thick Branes
• Energy Extraction from Higher Dimensional Black Holes and Black Rings
• Neutrinos in Warped Extra Dimensions
• Casimir force for a scalar field in warped brane worlds
• Covariant anomalies and Hawking radiation from charged rotating black strings in anti-de Sitter spacetimes
• Cyclic Universes from General Collisionless Braneworld Models
• Chaplygin gas dominated anisotropic brane world cosmological models
• Multi-Localization in Multi-Brane Worlds
• Einstein-Gauss-Bonnet metrics: black holes, black strings and a staticity theorem
• Challenges and Obstacles for a Bouncing Universe in Brane Models
• Warm-Intermediate inflationary universe model in braneworld cosmologies
• Fermions in Self-dual Vortex Background on a String-like Defect
• Finite temperature Casimir effect in spacetime with extra compactified dimensions
• Cycling in the Throat
• Brane-bulk matter relation for a purely conical codimension-2 brane world
• Effective Theory on Non-Abelian Vortices in Six Dimensions
• Moduli fields and brane tensions: generalizing the junction conditions
• Collision of Domain Walls and Reheating of the Brane Universe
• Brane worlds with bolts
• Fermions on Colliding Branes
• Asymptotically anti-de Sitter spacetimes and conserved quantities in higher curvature gravitational theories
• Observational Constraints on Accelerating Brane Cosmology with Exchange between the Bulk and Brane
• Inflation and Braneworlds: Degeneracies and Consistencies
• Cosmological evolution of general scalar fields in a brane-world cosmology
• Intermediate inflation on the brane
• Fermion Resonances on a Thick Brane with a Piecewise Warp Factor
• Chaplygin inflation on the brane
• Brane Cosmology with Matter in the Bulk. I
• Quark mass hierarchy and mixing via geometry of extra dimension with point interactions
• Correspondence between Loop-inspired and Braneworld Cosmology
• Observing braneworld black holes
• Dynamical localization of gauge fields on a brane
• The signals from the brane-world black Hole
• ICTP Lectures on Large Extra Dimensions
• Hybrid brane worlds in the Salam-Sezgin model
• Sound from extra dimension: quasinormal modes of thick brane
• Dynamical Systems analysis of an interacting dark energy model in the Brane Scenario
• Collision of Domain Walls in asymptotically Anti de Sitter spacetime
• On the Stabilization of the Size of Extra Dimensions
• Boundary Inflation and the WMAP Data
• Einstein static universe as a brane in extra dimensions
• Aspects of Infrared Modifications of Gravity
• Bulk Matters on a GRS-Inspired Braneworld
• Dirac Relaxation of the Israel Junction Conditions: Unified Randall-Sundrum Brane Theory
• Experimental limits on neutron disappearance into another braneworld
• The effect of extra dimensions on gravity wave bursts from cosmic string cusps
• Momentum space topology of fermion zero modes on brane
• Nonlinear Perturbations and Conservation Laws on Curved Backgrounds in GR and Other Metric Theories
• Gravitational resonances on $f(T)$-branes
• Study of field fluctuations and their localization in a thick braneworld generated by gravity non-minimally coupled to a scalar field with the Gauss-Bonnet term
• Warped Strings: Self-dual Flux and Contemporary Compactifications
• Tensor perturbations of Palatini $f(\mathcal{R})$-branes
• The energy absorption problem of a brane-world black hole
• Kink-antikink collision in a Lorentz-violating ${\varphi }^4$ model
• Localization of Gravitino Field on $f(R)$ Thick Branes
• Constructing Realistic Szekeres Models from Initial and Final Data
• Wesson's IMT with a Weylian bulk
• Braneworld Cosmology and Holography
• Low Energy Branes, Effective Theory and Cosmology
• Domain Wall Dynamics in Brane World and Non-singular Cosmological Models
• A cigar-like Universe
• Standard Model baryogenesis through four-fermion operators in braneworlds
• Gravitational resonances on $f(R)$-brane
• Classical ultrarelativistic bremsstrahlung in extra dimensions
• Anti-Gravitating Brane-World Solutions for a de Sitter Brane in Scalar-Tensor Gravity
• Search for passing-through-walls neutrons constrains hidden braneworlds
• New Black-String Solutions for an Anti-de Sitter Brane in Scalar-Tensor Gravity
• Effective action of a five-dimensional domain wall
• Brane-world black hole entropy from modified dispersion relations
• The fate of the zero mode of the five-dimensional kink in the presence of gravity
• Localized brane-world black hole analytically connected to an AdS${}_5$ boundary
• Low-energy effects in brane worlds: Liennard-Wiechert potentials and Hydrogen Lamb shift
• Metastable Vacua in Brane Worlds
• Bulk black holes radiating in non-Z_2 brane-world spacetimes
• Incorporating Physical Constraints in Braneworld Black-String Solutions for a Minkowski Brane in Scalar-Tensor Gravity
• On Newton's law in supersymmetric braneworld models
• Creation of a brane world with a bulk scalar field
• Radion and moduli stabilization from induced brane actions in higher-dimensional brane worlds
• Braneworld Black Holes
• Perforation of domain wall by point mass
• Multiple-scales analysis of cosmological perturbations in brane-worlds
• Graviton-induced Bremsstrahlung at e^+e^- colliders
• Perturbations of Nested Branes With Induced Gravity
• Observational manifestations of anomaly inflow
• Anomalies as a signature of extra dimensions
• Operational definition of (brane induced) space-time and constraints on the fundamental parameters
• Casimir effect in a six-dimensional vortex scenario
• Creation of a brane world with Gauss-Bonnet term
• Reconstruction of Domain Wall Universe and Localization of Gravity
• Fermionic vacuum polarization in higher-dimensional global monopole spacetime
• Spontaneous Creation of the Brane World and Direction of the Time Arrow
• Massive gravitons trapped inside a hypermonopole
• Cosmology in Six Dimensions
• Brane Vector Dynamics from Embedding Geometry
• Aspects of Physics with Two Extra Dimensions
• Large Star/Rose Extra Dimension with Small Leaves/Petals
• Localized non-Abelian gauge fields in non-compact extra-dimensions
• Gravity effects on thick brane formation from scalar field dynamics
• Metastable gravity on classical defects
• Naturally Light Neutrinos and Unification in Theories with Low Scale Quantum Gravity
• Higher Curvature Brane Corrections to the DGP Model
• Gravitating global monopoles in extra dimensions and the brane world concept
• Interacting dark energy model in the brane scenario: A Dynamical System Analysis
• Existence and Stability of Non-Trivial Scalar Field Configurations in Orbifolded Extra Dimensions
• Five-Dimensional Black Hole String Backgrounds and Brane Universe Acceleration
• Slinky evolution of domain wall brane cosmology
• Successful Yukawa structures in Warped Extra Dimensions
• Scalar-Tensor Gravity on a Gauss-Bonnet Brane World
• The critical tension in the Cascading DGP model
• Dynamical Domain Wall and Localization
• BPS Boojums in N=2 supersymmetric gauge theories I
• Brane tunneling and the Brane World scenario
• Regular compactifications and Higgs model vortices
• Classical and quantum quintessence cosmology
• Singular manifolds, topology change and the dynamics of compactification
• Nambu-Goldstone explosion under brane perforation
• (1+1)-Dirac bound states in one-dimension; position-dependent Fermi velocity and mass
• Multi-Scale Physics from Multi-Braneworlds
• Nonlinear Realization and Weyl Scale Invariant p=2 Brane
• Graviton confinement inside hypermonopoles of any dimension
• Diagrammatic Derivation of Lovelock Densities
• Trapping of Spin-0 fields on tube-like topological defects
• Gravity and Large Extra Dimensions
• BPS Boojums in N=2 supersymmetric gauge theories II
• I've Got the World on a Brane
• Flavour Condensate and the Dark Sector of the Universe
• Localization of Vector Field on Dynamical Domain Wall
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