Induced matter and particle motion in non-compact Kaluza-Klein gravity

DOI10.1023/A:1013046825852zbMath0996.83052arXivgr-qc/0105074MaRDI QIDQ5959874

W. N. Sajko, Andrew P. Billyard

Publication date: 11 April 2002

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0105074

zbMATH Keywords

geodesicscosmological constantKaluza-Kleininduced matter

Mathematics Subject Classification ID

Kaluza-Klein and other higher-dimensional theories (83E15) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (13)

Semiclassical corrections to the Einstein equation and induced matter theory ⋮ VARIATION OF G, Λ₍₄₎ AND VACUUM ENERGY FROM BRANE-WORLD MODELS ⋮ The geometry of space-time-matter ⋮ THE PRINCIPLE OF LEAST ACTION FOR TEST PARTICLES IN A FOUR-DIMENSIONAL SPACE–TIME EMBEDDED IN 5D ⋮ Mass and charge in brane-world and non-compact Kaluza-Klein theories in 5 dim ⋮ INVARIANT DEFINITION OF REST MASS AND DYNAMICS OF PARTICLES IN 4D FROM BULK GEODESICS IN BRANE-WORLD AND NON-COMPACT KALUZA–KLEIN THEORIES ⋮ FLRW UNIVERSES FROM "WAVE-LIKE" COSMOLOGIES IN 5D ⋮ ON THE CLASSICAL CONFINEMENT OF TEST PARTICLES TO A THIN 3-BRANE IN THE ABSENCE OF NON-GRAVITATIONAL FORCES ⋮ A class of cosmological solutions in induced matter theory with conformally flat bulk space ⋮ On the 5D extra-force according to Basini-Capozziello-Ponce De Leon formalism and five important features: Kar-sinha gravitational bending of light, chung-freese superluminal behaviour, maartens-clarkson Black strings, experimental measures of extra dimensions on board international space station (ISS) and the existence of the particle Z due to a higher dimensional spacetime ⋮ AN ANALYTICAL MODEL FOR THE TRANSITION FROM DECELERATED TO ACCELERATED COSMIC EXPANSION ⋮ An exact solution of the five-dimensional Einstein equations with four-dimensional de Sitter-like expansion ⋮ The 4D Klein-Gordon, Dirac and quantization equations from 5D null paths

Cites Work

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• Dynamics in Kaluza-Klein gravity and a fifth force
• Waves in five-dimensional relativity theory
• The embedding of general relativity in five dimensions
• A THEORY OF SPACE, TIME AND MATTER
• On the Correspondence between Exact Solutions in Kaluza–Klein Theory and in Scalar–Tensor Theories
• Comment on Five-Dimensional Geodesy
• The (Im)possibility of Detecting a Fifth Dimension
• Gauge conditions in modern Kaluza–Klein theory
• D -dimensional gravity from ( D + 1) dimensions
• General Relativity

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