New vacuum solutions of conformal Weyl gravity

DOI10.1063/1.533287zbMath0999.83015arXivgr-qc/9908049OpenAlexW1986349720MaRDI QIDQ2737987

Hans-Jürgen Schmidt, Vladimir Dzhunushaliev

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9908049

zbMATH Keywords

Lagrangiancosmological solutionsWeyl curvature tensorBach tensorconformal Weyl gravitytwo-dimensional gravityBach equationsspherical and plane symmetry

Mathematics Subject Classification ID

Relativistic cosmology (83F05) 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) Analogues of general relativity in lower dimensions (83C80) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (7)

Conformally Einstein product spaces ⋮ Constructing Bach flat manifolds of signature (2, 2) using the modified Riemannian extension ⋮ SECOND ORDER SCALAR INVARIANTS OF THE RIEMANN TENSOR: APPLICATIONS TO BLACK HOLE SPACETIMES ⋮ Gauge choice and geodetic deflection in conformal gravity ⋮ Pseudoinstantons in metric-affine field theory ⋮ Positive energy theorems in fourth-order gravity ⋮ On a relation between the Bach equation and the equation of geometrodynamics

Cites Work

• Conformal Einstein spaces
• A theorem relating solutions of a fourth-order theory of gravity to general relativity
• The classical solutions of two-dimensional gravity
• Editor's note: On some static solutions of Einstein's gravitational field equations in a spherically symmetric case and On a new cosmological solution of Einstein's field equations of gravitation by H. Nariai. With a biography of Nariai by K. Tomita
• Scale-invariant gravity in two dimensions
• The Newtonian limit of fourth-order gravity
• On Static Asymptotically Flat Solutions of Fourth Order Gravitational Field Equations
• Null surfaces and the Bach equations
• Hamiltonian formulation and exact solutions of the Bianchi type I spacetime in conformal gravity
• The vacuum and Bach equations in terms of light cone cuts

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