On the embedding of space-time in five-dimensional Weyl spaces

DOI10.1063/1.3000049zbMath1152.81395arXiv0711.2754OpenAlexW3105427107MaRDI QIDQ5505068

G. A. T. Gomez, C. A. Romero, Fábio Dahia

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2754

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of global differential geometry to the sciences (53C80) Geodesics in global differential geometry (53C22) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (12)

The Unexpected Resurgence of Weyl Geometry in late 20th-Century Physics ⋮ Pure geometric branes and mass hierarchy ⋮ Inducing the cosmological constant from five-dimensional Weyl space ⋮ Singularities of dual hypersurfaces and hyperbolic focal surfaces along spacelike curves in light cone in Minkowski 5-space ⋮ On the embedding of Weyl manifolds ⋮ THE EMBEDDING OF THE SPACETIME IN HIGHER-DIMENSIONAL RIEMANN–CARTAN MANIFOLDS AND CLASSICAL CONFINEMENT OF TEST PARTICLES ⋮ A brief note on Weyl frames and canonical transformations in geometrical scalar–tensor theories of gravity ⋮ Particle motion and perturbed dynamical system in warped product spacetimes ⋮ Fermion confinement induced by geometry ⋮ Brane cosmology and motion of test particles in five-dimensional warped product spacetimes ⋮ NON-RIEMANNIAN GEOMETRIES AND HIGHER-DIMENSIONAL THEORIES OF SPACETIME ⋮ A scalar field inducing a non-metrical contribution to gravitational acceleration and a compatible add-on to light deflection

Cites Work

• Thick brane worlds arising from pure geometry
• Confinement and stability of the motion of test particles in thick branes
• Wesson's induced matter theory with a Weylian bulk
• Gauge theory: Historical origins and some modern developments
• On the geometry of warped spacetimes
• Gauge-dependent cosmological  constant
• Warped product spaces and geodesic motion in the neighborhood of branes
• A Panoramic View of Riemannian Geometry
• An Alternative to Compactification
• Gravitational theory in Weyl integrable spacetime
• Dynamically generated embeddings of spacetime
• Brane-world gravity

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