On theories of gravitation with higher-order field equations

DOI10.1007/BF00756315zbMath0423.53019MaRDI QIDQ1134401

Peter Havas

Publication date: 1977

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

conservation lawsgravitationNewton's lawWeyl-Eddington field equations

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Applications of local differential geometry to the sciences (53B50)

Related Items (17)

Deflection in higher-order gravitational lensing ⋮ Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams ⋮ The tetralogy of Birkhoff theorems ⋮ Matter field equations derived from fourth-order gravity by the Kaluza-Klein principle. ⋮ Cauchy constraints and particle content of fourth-order gravity in \(n\) dimensions. ⋮ Tuning up mind's pattern to nature's own idea: Eddington's early twenties case for variational derivatives ⋮ On the quantization of constrained generalized dynamics ⋮ Second-order equations from a second-order formalism ⋮ LAGRANGIAN FORMULATION OF A MAGNETOSTATIC FIELD IN THE PRESENCE OF A MINIMAL LENGTH SCALE BASED ON THE KEMPF ALGEBRA ⋮ Spherically symmetric space–times with constant curvature scalar ⋮ Palatini variation of curvature-squared action and gravitational collapse ⋮ Linearized higher-order gravity and stellar structure ⋮ Spherically symmetric space–times with vanishing curvature scalar ⋮ A theorem relating solutions of a fourth-order theory of gravity to general relativity ⋮ Second-order equations and quadratic Lagrangians ⋮ Conservation laws and symmetry properties of a class of higher order theories of gravity ⋮ Constraints on modified gravity models from white dwarfs

Cites Work

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• A remarkable property of the Riemann-Christoffel tensor in four dimensions
• Über die Variationsableitung von Fundamentalinvarianten beliebig hoher Ordnung
• Renormalization of a Classical Gravitational Field Interacting with Quantized Matter Fields
• The Connection between Conservation Laws and Laws of Motion in Affine Spaces
• Four-Dimensional Formulations of Newtonian Mechanics and Their Relation to the Special and the General Theory of Relativity
• Eine lineare Theorie des Elektrons
• A Special Class of Solutions of the Equations of the Gravitational Field Arising from Certain Gauge-Invariant Action Principles
• THE HAMILTONIAN DERIVATIVES OF A CLASS OF FUNDAMENTAL INVARIANTS
• On Eddington's higher order equations of the gravitational field
• On Field Theories with Non-Localized Action

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