Extended theories of gravity and their cosmological and astrophysical applications
2007/06/30 by Salvatore Capozziello, Salvatore Capozzıello, Mauro Francaviglia +1 · 889 citations
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmological perturbation theory #Cosmology #Cosmology and Gravitation Theories #Dark energy #Dark matter #General relativity #Gravitation #Lambda-CDM model #Physical cosmology #Physics #Relativity and Gravitational Theory #Theoretical physics #astro-ph #gr-qc
paper · pdf · doi:10.1007/s10714-007-0551-y
published in General Relativity and Gravitation 40(2-3), 357-420 (Springer Science+Business Media) · 44 pages, 11 figures
arxiv created 2007/07/16 · openalex publication_date 2007/12/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract
We review Extended Theories of Gravity in metric and Palatini formalism pointing out their cosmological and astrophysical application. The aim is to propose an alternative approach to solve the puzzles connected to dark components.
Citations
Cited by
- Energy conditions in modified f(G) gravity
- New spherically symmetric solutions in f (R)-gravity by Noether symmetries
- Cosmological viable f(R,T) dark energy model: dynamics and stability
- f(T) teleparallel gravity and cosmology
- Dynamics, Ringdown, and Accretion-Driven Multiple Quasi-Periodic Oscillations of Kerr-Bertotti-Robinson Black Holes
- Palatini Approach to Modified Gravity: f(R) Theories and Beyond
- MATHEMATICAL EQUIVALENCE VERSUS PHYSICAL EQUIVALENCE BETWEEN EXTENDED THEORIES OF GRAVITATIONS
- Generalized modified gravity models: the stability issue
- Способы оценить сверху массу гравитона из астрономических наблюдений
- On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
- Quantum Gravity models - brief conceptual summary
- Classification of proper non-static cylindrically symmetric perfect fluid space-times via conformal vector fields in f(R) gravity
- A Modified Gravitational Theory of the Matter Sector of the Type ϕ(R,T)Lm
- Constraining Exponential f(Q) Gravity with Cosmic Chronometers and Supernovae: A Data-Driven Analysis
- Wald Entropy in Extended Modified Myrzakulov Gravity Theories: \(f(R, T, Q, RμνTμν, RμνQμν, …)\)
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
- In the Realm of the Hubble tension - a Review of Solutions
- An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field
- CMB Tensor Anisotropies in f(R) Gravity
- Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation
- Primordial black hole induced gravitational waves in f(R) gravity
- Constraints on cosmological parameters and CMB first acoustic peak in conformal Killing gravity
- Traversable Wormholes in non-minimal Einstein-Yang-Mills Gravity: Geometry, Energy Conditions, and Gravitational Lensing
- Cosmological Reconstructions in Einstein--Cartan--Myrzakulov Gravity with Torsion and Non-Metricity in the Weitzenböck Geometrical Sector
- Linearized f(R) Gravity: Gravitational Radiation & Solar System Tests
- A Deep Dive into f(R) Gravity Theory
- Gravitational waves in minimal Maxwell f(R) gravity
- Cosmological and astrophysical applications of modified theories of gravity
- Charged spherically symmetric Taub-NUT black hole solutions in f(R) gravity
- Dark energy, inflation and dark matter from modified F(R) gravity
- Shadow in the Galactic Center: Theoretical Concept -- Prediction -- Realization
- Formation of Wormholes by Dark Matter in the Galaxy Dragonfly 44
- Testing Extended Theories of Gravity via Black Hole Photon Rings
- Einstein-Gauss-Bonnet-Myrzakulov Gravity from R + F(T, G): Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
- The wormhole model with an exponential shape function in the Finslerian framework
- Curvature corrections to Starobinsky inflation can explain the ACT results
- Quadratic quantum cosmology with Schutz' perfect fluid
- Analysis of the Sultana-Dyer cosmological black hole solution of the Einstein equations
- Clifton's spherical solution in f ( R ) vacuum harbours a naked singularity
- Gödel-type universes inf(R)gravity
- HOLOGRAPHIC DARK ENERGY FROM A MODIFIED GBIG SCENARIO
- EQUIVALENCE BETWEEN PALATINI AND METRIC FORMALISMS OF f(R)-GRAVITY BY DIVERGENCE-FREE CURRENT
- Classifying and avoiding singularities in the alternative gravity dark energy models
- Gödel-type universes in Palatinif(R)gravity
- A Braneworld Dark Energy Model with Induced Gravity and the Gauss-Bonnet Effect
- Physical non-equivalence of the Jordan and Einstein frames
- Solar System Tests of Some Models of Modified Gravity Proposed to Explain Galactic Rotation Curves without Dark Matter
- On the ΛCDM Universe in f(G) gravity
- Unifying Einstein and Palatini gravities
- THE PHYSICAL FOUNDATIONS FOR THE GEOMETRIC STRUCTURE OF RELATIVISTIC THEORIES OF GRAVITATION: FROM GENERAL RELATIVITY TO EXTENDED THEORIES OF GRAVITY THROUGH EHLERS–PIRANI–SCHILD APPROACH
- Perihelion precession for modified Newtonian gravity
- Testing metric-affine f(R)-gravity by relic scalar gravitational waves
- Astrophysical structures from primordial quantum black holes
- Spherical symmetry in f ( R )-gravity
- INTERFEROMETRIC DETECTION OF GRAVITATIONAL WAVES: THE DEFINITIVE TEST FOR GENERAL RELATIVITY
- Inhomogeneous Viscous Fluids in a Friedmann-Robertson-Walker (FRW) Universe
- Cosmology of hybrid metric-Palatinif(X)-gravity
- CROSSING OF PHANTOM DIVIDE IN F(R) GRAVITY
- FURTHER EXTENDED THEORIES OF GRAVITATION: PART II
- MATTER LAGRANGIANS COUPLED WITH CONNECTIONS
- FURTHER EXTENDED THEORIES OF GRAVITATION: PART I
- f(R)theories of gravity
- Breaking the cosmological background degeneracy by two-fluid perturbations in f(R) gravity
- Expanding universes in the conformal frame of f(R)gravity
- f ( R ) gravity, torsion and non-metricity
- The fate of Schwarzschild–de Sitter black holes in f(R) gravity
- Stability analysis of DGP brane-world model with agegraphic dark energy
- X-ray clusters of galaxies in conformal gravity
- Entropic-force dark energy reconsidered
- Constraining models of extended gravity using Gravity Probe B and LARES experiments
- Low energy greybody factors for fermions emitted by a Schwarzschild-de Sitter black hole
- Inflationary cosmology with Chaplygin gas in Palatini formalism
- Modified gravity with R –matter couplings and (non-)geodesic motion
- Interacting dark energy in Hořava-Lifshitz cosmology
- THERMODYNAMICS OF EVOLVING LORENTZIAN WORMHOLES AT APPARENT HORIZON IN f(R) THEORY OF GRAVITY
- Entropic considerations on the Universe and Universe-black hole systems
- Gravity and electromagnetism with Y(R)F2-type coupling and magnetic monopole solutions
- Gravitational perfect fluid collapse in f(R) gravity
- Non-minimal Maxwell-modified Gauss–Bonnet cosmologies: inflation and dark energy
- An extended matter bounce scenario: current status and challenges
- Cosmological anisotropy from non-comoving dark matter and dark energy
- Bouncing cosmology in f(R,G) gravity by order reduction
- Constraining ƒ(R) Gravity by the Large-Scale Structure
- Testing F(R) Gravity with the Simulated Data of Gravitational Waves from the Einstein Telescope
- A well-behaved f(R) gravity model in planetary motions
- LINEAR DARK ENERGY EQUATION OF STATE REVEALED BY SUPERNOVAE?
- String inspired quintom model with non-minimally coupled modified gravity
- Topological invariant quintessence
- Traversable wormhole solutions in f(R) gravity via Karmarkar condition
- Non-linear energy conservation theorem in the framework of special relativity
- Ray tracing in FLRW flat space-times
- Solar System tests and chameleon effect in f(R) gravity
- Conformally related metrics and Lagrangians and their physical interpretation in cosmology
- Extended Theories of Gravity with Generalized Energy Conditions
- Exact Solutions in Modified Gravity Models
- Spherical collapse model and cluster number counts in power-lawf(T) gravity
- Nonminimal scalar-tensor theories
- Homogeneous Cosmologies in Generalized Modified Gravity
- Quintessence models in the late Universe
- Dynamics of scalar perturbations inf(R,T)gravity
- Nonexotic matter wormholes in a trace of the energy-momentum tensor squared gravity
- Gauss-Bonnet Braneworld Cosmology with Modified Induced Gravity on the Brane
- Noether symmetries in Gauss-Bonnet-teleparallel cosmology. [europepmc]
- Testing General Relativity with Low-Frequency, Space-Based Gravitational-Wave Detectors. [europepmc]
- f ( R ) Theories. [europepmc]
- Noether symmetry approach in f ( T , B ) teleparallel cosmology. [europepmc]
- Gravitational effective action at second order in curvature and gravitational waves. [europepmc]
- f ( R ) gravity modifications: from the action to the data. [europepmc]
- Gravitational waves in modified teleparallel theories of gravity. [europepmc]
- A Comprehensive Analysis of Hyperbolical Fluids in Modified Gravity. [europepmc]
Related