EQUIVALENCE BETWEEN PALATINI AND METRIC FORMALISMS OF f(R)-GRAVITY BY DIVERGENCE-FREE CURRENT

DOI10.1142/S021773231103458XzbMath1208.83087arXiv1006.0454MaRDI QIDQ3086220

Daniele Vernieri, Salvatore Capozziello, Farhad Darabi

Publication date: 30 March 2011

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0454

zbMATH Keywords

conformal transformationsPalatini formalismmodified theories of gravity

Mathematics Subject Classification ID

Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (16)

A scalar field dark energy model: Noether symmetry approach ⋮ Non-minimally coupled scalar field in Kantowski-Sachs model and symmetry analysis ⋮ Lie and Noether symmetry analysis in Brans–Dicke cosmology ⋮ On the (non-)uniqueness of the Levi-Civita solution in the Einstein-Hilbert-Palatini formalism ⋮ Static and spherically symmetric solutions in a scenario with quadratic curvature contribution ⋮ Classical Euclidean wormhole solutions in the Palatini \(f(\tilde R)\) cosmology ⋮ Gravitational dust collapse in \(f(R)\) gravity ⋮ Noether gauge symmetry for \(f(R)\) gravity in Palatini formalism ⋮ Classical and quantum cosmology in f(T)-gravity theory: A Noether symmetry approach ⋮ Noether symmetry of Palatini F(ℜ) gravity ⋮ Viability of Noether symmetry of \(F(R)\) theory of gravity ⋮ A cosmological study of Einstein–Skyrme model in anisotropic Kantowski–Sachs spacetime using Lie and Noether symmetries ⋮ New spherically symmetric solutions in \(f(R)\)-gravity by Noether symmetries ⋮ A non-trivial connection for the metric-affine Gauss-Bonnet theory in \(D = 4\) ⋮ PALATINI FORMULATION OF MODIFIED GRAVITY WITH A NON-MINIMAL CURVATURE-MATTER COUPLING ⋮ Exact solutions of Bianchi type \(V\) spacetime in \(f(R,T)\) gravity

Cites Work

• From dark energy \& dark matter to dark metric
• Signature change, vacuum condensation and cosmological constant
• Duality and the cosmological constant
• Where new gravitational physics comes from: M-theory?
• Extended theories of gravity and their cosmological and astrophysical applications
• On higher order gravities, their analogy to GR, and dimensional dependent version of Duff's trace anomaly relation
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>theories of gravity
• Mach's Principle and a Relativistic Theory of Gravitation
• f ( R ) gravity, torsion and non-metricity
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
• The universality of vacuum Einstein equations with cosmological constant
• CURVATURE QUINTESSENCE
• General Relativity

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