Plebański–Demiański solution of general relativity and its expressions quadratic and cubic in curvature: Analogies to electromagnetism

DOI10.1142/S0218271815500790zbMath1341.83006arXiv1412.1958OpenAlexW1500341821MaRDI QIDQ2809481

Jens Boos

Publication date: 30 May 2016

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1958

zbMATH Keywords

curvature invariantsKummer tensorBel-Robinson tensorBel-Robinson 3-formPlebański-Demiański solution

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Gravitational energy and conservation laws; groups of motions (83C40) Electromagnetic theory (general) (78A25) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (4)

Curvature invariants for accelerating Kerr–Newman black holes in (anti-)de Sitter spacetime ⋮ Regular black hole from a confined spin connection in Poincaré gauge gravity ⋮ Gravity-induced four-fermion contact interaction implies gravitational intermediate W and Z type gauge bosons ⋮ Transferring energy in general relativity

Uses Software

• REDUCE

Cites Work

• A magnetic-monopole-type solution in the Poincaré gauge field theory of gravity
• Foundations of classical electrodynamics. Charge, flux, and metric

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