Spherically symmetric solutions of Einstein's vacuum equations in five dimensions

DOI10.1023/A:1026660020889zbMath0964.83010OpenAlexW1618899421MaRDI QIDQ1807297

Hossein Abolghasem, Alan A. Coley, Des J. McManus

Publication date: 18 November 1999

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

Full work available at URL: https://doi.org/10.1023/a:1026660020889

zbMATH Keywords

vacuum Einstein equationshigher dimensional gravityspherically symmetric metrics

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Kaluza-Klein and other higher-dimensional theories (83E15)

Related Items (3)

Algebraic classification of higher dimensional spacetimes ⋮ Reconstructing the equation of state in holographic dark energy in 5D Brans-Dicke theory, and comparison with \(\Lambda\)CDM model and CPL parametrization ⋮ An exact solution of the five-dimensional Einstein equations with four-dimensional de Sitter-like expansion

Cites Work

• Scalar field counterexamples to the cosmic censorship hypothesis
• The Birkhoff theorem in multidimensional gravity
• The embedding of general relativity in five dimensions
• Time-dependent Kaluza–Klein soliton solutions
• Exact solutions and the effective equation of state in Kaluza–Klein theory
• On the Correspondence between Exact Solutions in Kaluza–Klein Theory and in Scalar–Tensor Theories
• Five-dimensional cosmological models in induced matter theory
• D -dimensional gravity from ( D + 1) dimensions
• Supergravity in theory in 11 dimensions
• Induced matter theory and embeddings in Riemann flat space–times
• General Relativity

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