First order formalism of \(f(R)\) gravity

DOI10.1007/BF00756965zbMath0778.53055OpenAlexW1971859493MaRDI QIDQ1801512

Daniel E. Barraco, Victor Hugo Hamity

Publication date: 20 December 1993

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

Full work available at URL: https://doi.org/10.1007/bf00756965

zbMATH Keywords

Newtonian limitstrong equivalence principleconformally metric theories of the Weyl typethermodynamic configurations

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items

Local energy-momentum conservation in scalar-tensor-like gravity with generic curvature invariants ⋮ Modified gravity: A unified approach to metric-affine models ⋮ PALATINI APPROACH TO MODIFIED GRAVITY: f(R) THEORIES AND BEYOND ⋮ The gauge symmetries of $f(\mathcal{R})$ gravity with torsion in the Cartan formalism ⋮ Infinitely degenerate exact Ricci-flat solutions in f(R) gravity ⋮ Embedded class-i solution of compact stars in \(f(R)\) gravity with Karmarkar condition ⋮ Variational and conformal structure of nonlinear metric-connection gravitational Lagrangians ⋮ A theorem relating solutions of a fourth-order theory of gravity to general relativity ⋮ A family of solutions to the inverse problem in gravitation: building a theory around a metric ⋮ Symmetric variations of the metric and extrema of the action for pure gravity ⋮ \(f(R)\) cosmology in the first order formalism

Cites Work

• Variational formulation of general relativity from 1915 to 1925 Palatini's method discovered by Einstein in 1925
• Unified geometric theory of electromagnetic and gravitational interactions
• The nonlinear graviton in interaction with a photon
• General Relativity