Geometric properties of the Bertotti–Kasner space-time

DOI10.1108/AJMS-10-2020-0085OpenAlexW3151874758MaRDI QIDQ5084320

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Publication date: 24 June 2022

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/ajms-10-2020-0085

zbMATH Keywords

gravitational fieldGaussian curvatureWeyl invariantsBertotti-Kasner spacetime

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Exact solutions to problems in general relativity and gravitational theory (83C15)

Cites Work

• Gravitational field of Schwarzschild soliton
• The gravitational field of the Schwarzschild spacetime
• Birkhoff's theorem with \(\Lambda\)-term and Bertotti-Kasner space
• Timelike Killing vectors and ergo surfaces in non-asymptotically flat spacetimes
• Invariant Formulation of Gravitational Radiation Theory
• Uniform Electromagnetic Field in the Theory of General Relativity
• Maximally extended, explicit and regular coverings of the Schwarzschild–de Sitter vacua in arbitrary dimension
• The classification of spaces defining gravitational fields
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