Not conformally Einstein metrics in conformal gravity

DOI10.1088/0264-9381/30/16/165015zbMath1277.83088arXiv1303.5781OpenAlexW3105827526WikidataQ58664316 ScholiaQ58664316MaRDI QIDQ2851407

Justin F. Vázquez-Poritz, Hai-Shan Liu, Christopher N. Pope, Hong Lü

Publication date: 10 October 2013

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5781

zbMATH Keywords

exact solutionPetrov typeWeyl tensorWeyl gravityBach tensorconformal gravityconformally Einstein metricEinstein-Weyl gravitygravitational pp-waves

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) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Exact solutions to problems in general relativity and gravitational theory (83C15) Gravitational waves (83C35)

Related Items (7)

C-metric solution for conformal gravity with a conformally coupled scalar field ⋮ Dynamical spacetimes in conformal gravity ⋮ Self-dual conformal gravity ⋮ Self duality in unconventional conformal supersymmetry ⋮ Conformally Einstein Lorentzian Lie groups: extensions of the Euclidean and Poincaré groups ⋮ Constructing Bach flat manifolds of signature (2, 2) using the modified Riemannian extension ⋮ Isotropic quasi-Einstein manifolds

This page was built for publication: Not conformally Einstein metrics in conformal gravity