Scalar-tensor representation of f(R) gravity and Birkhoff's theorem

DOI10.1002/andp.201100244zbMath1248.83105arXiv1107.0948OpenAlexW3101186571MaRDI QIDQ2902559

Diego Sáez-Gómez, Salvatore Capozziello

Publication date: 21 August 2012

Published in: Annalen der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0948

zbMATH Keywords

dark energyscalartensor representationBirkhoff's theorem

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Exact solutions to problems in general relativity and gravitational theory (83C15) Astrophysical cosmology (85A40)

Related Items (12)

Birkhoff's theorem and perturbations in f(R) theories ⋮ Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories ⋮ Anisotropic compact stars in \(f(\mathcal{R}, \mathcal{A})\) gravity including charge with exterior Reissner-Nordstrom spacetime ⋮ Homogeneous spherically symmetric bodies with a non-minimal coupling between curvature and matter: the choice of the Lagrangian density for matter ⋮ Classification of static spherically symmetric space-times in f(R) theory of gravity according to their conformal vector fields ⋮ Chaotic solutions and black hole shadow in \(f(R)\) gravity ⋮ Rotating Killing horizons in generic \(F(R)\) gravity theories ⋮ Jeans analysis of bok globules in \(f(R)\) gravity ⋮ On perturbative constraints for vacuum f(R) gravity ⋮ Infinitely degenerate exact Ricci-flat solutions in f(R) gravity ⋮ Birkhoff's theorem for stable torsion theories ⋮ Addressing the missing matter problem in galaxies through a new fundamental gravitational radius

Cites Work

• Modified \(f(R)\) gravity from scalar-tensor theory and inhomogeneous EoS dark energy
• Extended theories of gravity and their cosmological and astrophysical applications
• The nearly Newtonian regime in nonlinear theories of gravity
• <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
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
• Spherically symmetric solutions in f ( R ) gravity via the Noether symmetry approach
• CURVATURE QUINTESSENCE

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