On the Correspondence between Exact Solutions in Kaluza–Klein Theory and in Scalar–Tensor Theories

DOI10.1142/S021773239700217XzbMath0906.53070MaRDI QIDQ4212043

Alan A. Coley, Andrew P. Billyard

Publication date: 21 October 1998

Published in: Modern Physics Letters A (Search for Journal in Brave)

zbMATH Keywords

exact solutionsBrans-Dicke theoryKaluza-Klein gravitygeneral relativity coupled to a massless scalar field

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Kaluza-Klein and other higher-dimensional theories (83E15) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (8)

EQUIVALENCE BETWEEN SPACE–TIME–MATTER AND BRANE-WORLD THEORIES ⋮ Possible wormhole solutions in \((4+1)\) gravity ⋮ Stellar models with Schwarzschild and non-Schwarzschild vacuum exteriors ⋮ Modified Brans-Dicke theory of gravity from five-dimensional vacuum ⋮ Induced matter and particle motion in non-compact Kaluza-Klein gravity ⋮ Spherically symmetric solutions of Einstein's vacuum equations in five dimensions ⋮ Selected topics in scalar–tensor theories and beyond ⋮ CORRESPONDENCE BETWEEN MODIFIED GRAVITY AND 5D RICCI-FLAT COSMOLOGIES

Cites Work

• Nonlinear gravitational Lagrangians
• Generalizations of the Kerr-Newman and charged Tomimatsu-Sato metrics in the Jordan-Brans-Dicke theory
• Black holes in higher dimensional space-times
• Scalar field counterexamples to the cosmic censorship hypothesis
• Kaluza-Klein cosmology with \(N\) dilaton fields
• Kerr-type solution in Brans-Dicke theory
• Reciprocal Static Metrics and Scalar Fields in the General Theory of Relativity
• Mach's Principle and a Relativistic Theory of Gravitation
• Spherically symmetric black holes in Kaluza–Klein unification
• Kerr-like metric in Brans–Dicke theory
• Kaluza–Klein equations, Einstein’s equations, and an effective energy-momentum tensor
• Tensor-multi-scalar theories of gravitation
• D -dimensional gravity from ( D + 1) dimensions
• Self-similar collapse of conformally coupled scalar fields
• Mach's Principle and Invariance under Transformation of Units
• Quadratic gravity as hair tonic for black holes
• Quadratic lagrangians and general relativity

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