The Levi-Civita space–time as a limiting case of the γ space–time

DOI10.1063/1.532943zbMath0952.83016arXivgr-qc/9810079OpenAlexW1982223698MaRDI QIDQ4270401

F. M. Paiva, Luis Herrera, Nilton O. Santos

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9810079

zbMATH Keywords

Schwarzschild metricLevi-Civita space-timeNewtonian image source

Mathematics Subject Classification ID

Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (9)

\(\gamma\)-metrics in higher dimensions ⋮ STATIC CYLINDRICAL SYMMETRY AND CONFORMAL FLATNESS ⋮ Geodesics and gravitational waves in chaotic extreme-mass-ratio inspirals: the curious case of Zipoy-Voorhees black-hole mimickers ⋮ Editorial note to: T. Levi-Civita, The physical reality of some normal spaces of Bianchi and to: Einsteinian \(ds^2\) in Newtonian fields. IX: The analog of the logarithmic potential ⋮ GEODESICS IN THE γ SPACETIME ⋮ On a class of solutions of the Einstein–Maxwell field equations in scalar-tensor theories of gravity ⋮ Cylindrical systems in general relativity ⋮ Translation in cylindrically symmetric vacuum ⋮ Charged bulk viscous cylindrical collapse in f(R) theory

Cites Work

• A review of the geometrical equivalence of metrics in general relativity
• On limits of spacetimes-a coordinate-free approach
• Limits of space–times in five dimensions and their relation to the Segre types
• Limits of the energy - momentum tensor in general relativity
• The Levi–Civita space–time
• Topology of Some Spheroidal Metrics

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