Reviews of Modern Physics, ISSN 0034-6861, 03/2010, Volume 82, Issue 1, pp. 451 - 497

Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology, and astrophysics....

BIG-BANG NUCLEOSYNTHESIS | PALATINI VARIATIONAL PRINCIPLE | PHYSICS, MULTIDISCIPLINARY | SPHERICALLY SYMMETRIC-SOLUTIONS | POTENTIAL-DENSITY PAIRS | F R GRAVITY | EXACT COSMOLOGICAL SOLUTIONS | PHANTOM DARK ENERGY | HIGHER-ORDER GRAVITY | EINSTEIN-BOLTZMANN EQUATIONS | HIGH-REDSHIFT SUPERNOVAE | Cosmic physics | Research | Degrees of freedom (Mechanics) | Analysis | Gravity

BIG-BANG NUCLEOSYNTHESIS | PALATINI VARIATIONAL PRINCIPLE | PHYSICS, MULTIDISCIPLINARY | SPHERICALLY SYMMETRIC-SOLUTIONS | POTENTIAL-DENSITY PAIRS | F R GRAVITY | EXACT COSMOLOGICAL SOLUTIONS | PHANTOM DARK ENERGY | HIGHER-ORDER GRAVITY | EINSTEIN-BOLTZMANN EQUATIONS | HIGH-REDSHIFT SUPERNOVAE | Cosmic physics | Research | Degrees of freedom (Mechanics) | Analysis | Gravity

Journal Article

International Journal of Modern Physics D, ISSN 0218-2718, 04/2011, Volume 20, Issue 4, pp. 413 - 462

We review the recent literature on modified theories of gravity in the Palatini approach. After discussing the motivations that lead to consider alternatives...

modified gravity | Hamiltonian formulation | quantum gravity phenomenology | stellar structure | cosmic speed-up | MOND | dark energy | solar system tests | dark matter | Cauchy problem | Palatini formalism | VARIATIONAL PRINCIPLE | GENERAL-RELATIVITY | EINSTEIN EQUATIONS | PROBE WMAP OBSERVATIONS | CAUCHY-PROBLEM | EXTENDED THEORIES | COVARIANT CONSERVATION | METRIC-AFFINE THEORIES | COSMOLOGICAL PERTURBATIONS | ENERGY-MOMENTUM | ASTRONOMY & ASTROPHYSICS | Analysis | Gravity

modified gravity | Hamiltonian formulation | quantum gravity phenomenology | stellar structure | cosmic speed-up | MOND | dark energy | solar system tests | dark matter | Cauchy problem | Palatini formalism | VARIATIONAL PRINCIPLE | GENERAL-RELATIVITY | EINSTEIN EQUATIONS | PROBE WMAP OBSERVATIONS | CAUCHY-PROBLEM | EXTENDED THEORIES | COVARIANT CONSERVATION | METRIC-AFFINE THEORIES | COSMOLOGICAL PERTURBATIONS | ENERGY-MOMENTUM | ASTRONOMY & ASTROPHYSICS | Analysis | Gravity

Journal Article

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, ISSN 1475-7516, 12/2019, Volume 2019, Issue 12, pp. 21 - 21

Teleparallel gravity is a formulation of general relativity that is physically equivalent to metric gravity if the gravitational action has the...

INITIAL CONDITIONS | PERTURBATIONS | GENERAL-RELATIVITY | FIELD-THEORY | LAGRANGIANS | FORMULATION | inflation | SCALARON | particle physics - cosmology connection | PALATINI VARIATIONAL PRINCIPLE | CHAOTIC INFLATION | EINSTEIN | gravity | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

INITIAL CONDITIONS | PERTURBATIONS | GENERAL-RELATIVITY | FIELD-THEORY | LAGRANGIANS | FORMULATION | inflation | SCALARON | particle physics - cosmology connection | PALATINI VARIATIONAL PRINCIPLE | CHAOTIC INFLATION | EINSTEIN | gravity | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

Journal Article

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, ISSN 1475-7516, 01/2019, Volume 2019, Issue 1, pp. 38 - 38

We study the production of primordial black hole (PBH) dark matter in the case when the Standard Model Higgs coupled non-minimally to gravity is the inflaton....

GR black holes | INITIAL CONDITIONS | BOSON | JORDAN | PERTURBATIONS | EXTENDED INFLATION | inflation | GRAVITY | PALATINI VARIATIONAL PRINCIPLE | EINSTEIN | cosmology connection | ASTRONOMY & ASTROPHYSICS | CONSTRAINTS | particle physics | dark matter theory | RELICS | PHYSICS, PARTICLES & FIELDS

GR black holes | INITIAL CONDITIONS | BOSON | JORDAN | PERTURBATIONS | EXTENDED INFLATION | inflation | GRAVITY | PALATINI VARIATIONAL PRINCIPLE | EINSTEIN | cosmology connection | ASTRONOMY & ASTROPHYSICS | CONSTRAINTS | particle physics | dark matter theory | RELICS | PHYSICS, PARTICLES & FIELDS

Journal Article

Annals of Physics, ISSN 0003-4916, 04/2007, Volume 322, Issue 4, pp. 935 - 966

General Relativity assumes that spacetime is fully described by the metric alone. An alternative is the so called Palatini formalism where the metric and the...

f(R) gravity | Non-metricity | Torsion | Metric-affine gravity | metric-affine gravity | VARIATIONAL-PRINCIPLES | MATTER FIELDS | GENERAL-RELATIVITY | PHYSICS, MULTIDISCIPLINARY | COSMOLOGICAL THEORY | non-metricity | torsion | 1/R GRAVITY | INFLATION | FIELD-EQUATIONS | EXPANSION | PALATINI FORMULATION | Cosmology | Theory | Physics | Gravity | MATTER | GENERAL RELATIVITY THEORY | SPACE-TIME | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | COSMOLOGICAL MODELS | SCALARS | GRAVITATION | TORSION | UNIVERSE

f(R) gravity | Non-metricity | Torsion | Metric-affine gravity | metric-affine gravity | VARIATIONAL-PRINCIPLES | MATTER FIELDS | GENERAL-RELATIVITY | PHYSICS, MULTIDISCIPLINARY | COSMOLOGICAL THEORY | non-metricity | torsion | 1/R GRAVITY | INFLATION | FIELD-EQUATIONS | EXPANSION | PALATINI FORMULATION | Cosmology | Theory | Physics | Gravity | MATTER | GENERAL RELATIVITY THEORY | SPACE-TIME | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | COSMOLOGICAL MODELS | SCALARS | GRAVITATION | TORSION | UNIVERSE

Journal Article

Advances in Theoretical and Mathematical Physics, ISSN 1095-0761, 06/2012, Volume 16, Issue 3, pp. 851 - 886

Let M -> N (resp. C -> N) be the fibre bundle of pseudo-Riemannian metrics of a given signature (resp. the bundle of linear connections) on an orientable...

COSMOLOGY | PALATINI VARIATIONAL PRINCIPLE | THEOREM | FIELD | GRAVITATIONAL LAGRANGIANS | EINSTEIN-CARTAN-THEORY | FORMULATION | PHYSICS, MATHEMATICAL | GRAVITY | GEOMETRY | PARAMETER | PHYSICS, PARTICLES & FIELDS

COSMOLOGY | PALATINI VARIATIONAL PRINCIPLE | THEOREM | FIELD | GRAVITATIONAL LAGRANGIANS | EINSTEIN-CARTAN-THEORY | FORMULATION | PHYSICS, MATHEMATICAL | GRAVITY | GEOMETRY | PARAMETER | PHYSICS, PARTICLES & FIELDS

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 02/2008, Volume 23, Issue 3n04, pp. 567 - 579

The purely affine Lagrangian for linear electrodynamics, that has the form of the Maxwell Lagrangian in which the metric tensor is replaced by the symmetrized...

Purely affine gravity | Conformal transformation | Tensor of homothetic curvature | Einstein-Maxwell equations | Maxwell-Palatini electrodynamics | Legendre transformation | VARIATIONAL-PRINCIPLES | tensor of homothetic curvature | TORSION | Maxwell-Palatini electro-dynamics | GRAVITATIONAL-FIELD | PHYSICS, NUCLEAR | purely affine gravity | EINSTEIN-MAXWELL THEORY | conformal transformation | GENERAL-RELATIVITY THEORY | PHYSICS, PARTICLES & FIELDS | Electromagnetic fields

Purely affine gravity | Conformal transformation | Tensor of homothetic curvature | Einstein-Maxwell equations | Maxwell-Palatini electrodynamics | Legendre transformation | VARIATIONAL-PRINCIPLES | tensor of homothetic curvature | TORSION | Maxwell-Palatini electro-dynamics | GRAVITATIONAL-FIELD | PHYSICS, NUCLEAR | purely affine gravity | EINSTEIN-MAXWELL THEORY | conformal transformation | GENERAL-RELATIVITY THEORY | PHYSICS, PARTICLES & FIELDS | Electromagnetic fields

Journal Article

International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 03/2018, Volume 15, Issue 3

This paper is devoted to the construction of a unified formalism for Palatini and unimodular gravity. The idea is to employ a relationship between unified...

Unified formalism | Variational problems | Connection bundle | Palatini gravity | Unimodular gravity | unimodular gravity | GENERAL-RELATIVITY | CONSTRAINT ALGORITHM | FIELD-THEORIES | CALCULUS | connection bundle | SYSTEMS | PHYSICS, MATHEMATICAL | unified formalism | CURVES

Unified formalism | Variational problems | Connection bundle | Palatini gravity | Unimodular gravity | unimodular gravity | GENERAL-RELATIVITY | CONSTRAINT ALGORITHM | FIELD-THEORIES | CALCULUS | connection bundle | SYSTEMS | PHYSICS, MATHEMATICAL | unified formalism | CURVES

Journal Article

Journal of Interdisciplinary Mathematics, ISSN 0972-0502, 01/2003, Volume 6, Issue 3, pp. 239 - 251

The Hilbert-Palatini variational principle is considered within the framework of the ADM formalism in a non-holonomic frame of reference. Following Palatini's...

Cauchy Problem | non-holonomic frame of reference | ADM formalism | Hilbert-Palatini variational principle | Non-holonomic frame of reference | Cauchy problem

Cauchy Problem | non-holonomic frame of reference | ADM formalism | Hilbert-Palatini variational principle | Non-holonomic frame of reference | Cauchy problem

Journal Article

General Relativity and Gravitation, ISSN 0001-7701, 9/2006, Volume 38, Issue 9, pp. 1407 - 1417

The present paper reconsiders the Newtonian limit of models of modified gravity including higher order terms in the scalar curvature in the gravitational...

f ( R ) gravity | Metric variation | Palatini variation | Newtonian limit | f(R) gravity | MODELS | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | metric variation | PHYSICS, PARTICLES & FIELDS

f ( R ) gravity | Metric variation | Palatini variation | Newtonian limit | f(R) gravity | MODELS | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | metric variation | PHYSICS, PARTICLES & FIELDS

Journal Article

Physics Letters B, ISSN 0370-2693, 09/2006, Volume 640, Issue 4, pp. 135 - 137

We derive the expression for the jerk parameter in f(R) gravity. We use the Palatini variational principle and the field equations in the Einstein conformal...

Jerk parameter | Palatini variation | Einstein gauge | [formula omitted] gravity | f (R) gravity | ACCELERATION | EINSTEIN FRAME | EQUATION-OF-STATE | COSMOLOGY | PHYSICS, MULTIDISCIPLINARY | f(R) gravity | F R GRAVITY | jerk parameter | UNIVERSE

Jerk parameter | Palatini variation | Einstein gauge | [formula omitted] gravity | f (R) gravity | ACCELERATION | EINSTEIN FRAME | EQUATION-OF-STATE | COSMOLOGY | PHYSICS, MULTIDISCIPLINARY | f(R) gravity | F R GRAVITY | jerk parameter | UNIVERSE

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 2006, Volume 74, Issue 8

The field equations in f(R) gravity derived from the Palatini variational principle and formulated in the Einstein conformal frame yield a cosmological term...

ANGULAR POWER SPECTRUM | EINSTEIN-HILBERT ACTION | NONLINEAR GRAVITATIONAL LAGRANGIANS | EQUATION-OF-STATE | PALATINI APPROACH | COSMOLOGICAL CONSTANT | MOMENTUM CONSERVATION | GENERAL-RELATIVITY | ASTRONOMY & ASTROPHYSICS | PROBE WMAP OBSERVATIONS | F R GRAVITY | PHYSICS, PARTICLES & FIELDS

ANGULAR POWER SPECTRUM | EINSTEIN-HILBERT ACTION | NONLINEAR GRAVITATIONAL LAGRANGIANS | EQUATION-OF-STATE | PALATINI APPROACH | COSMOLOGICAL CONSTANT | MOMENTUM CONSERVATION | GENERAL-RELATIVITY | ASTRONOMY & ASTROPHYSICS | PROBE WMAP OBSERVATIONS | F R GRAVITY | PHYSICS, PARTICLES & FIELDS

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 06/2007, Volume 24, Issue 11, pp. 3013 - 3020

We derive the expression for the snap parameter in f (R) gravity. We use the Palatini variational principle to obtain the field equations and regard the...

EINSTEIN FRAME | PALATINI APPROACH | PHYSICS, MULTIDISCIPLINARY | DARK ENERGY | LAGRANGIANS | F R GRAVITY | EQUIVALENCE | EQUATION-OF-STATE | ASTRONOMY & ASTROPHYSICS | SINGULARITY | STATEFINDER | UNIVERSE | PHYSICS, PARTICLES & FIELDS

EINSTEIN FRAME | PALATINI APPROACH | PHYSICS, MULTIDISCIPLINARY | DARK ENERGY | LAGRANGIANS | F R GRAVITY | EQUIVALENCE | EQUATION-OF-STATE | ASTRONOMY & ASTROPHYSICS | SINGULARITY | STATEFINDER | UNIVERSE | PHYSICS, PARTICLES & FIELDS

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 06/2006, Volume 23, Issue 12, pp. 4289 - 4296

An explicit proof of the vanishing of the covariant divergence of the energy momentum tensor in modified theories of gravity is presented. The gravitational...

ACCELERATION | DARK ENERGY | LAGRANGIANS | PHYSICS, MULTIDISCIPLINARY | PALATINI FORMULATION | RELATIVITY

ACCELERATION | DARK ENERGY | LAGRANGIANS | PHYSICS, MULTIDISCIPLINARY | PALATINI FORMULATION | RELATIVITY

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 08/2006, Volume 23, Issue 15, pp. 4819 - 4827

We study the present, flat isotropic universe in 1/R-modified gravity. We use the Palatini ( metric-affine) variational principle and the Einstein (...

ANGULAR POWER SPECTRUM | HILBERT ACTION | PALATINI APPROACH | COSMOLOGICAL CONSTANT | PHYSICS, MULTIDISCIPLINARY | PROBE WMAP OBSERVATIONS | DARK ENERGY | LAGRANGIANS | F R GRAVITY | FORMALISM | SUPERNOVAE

ANGULAR POWER SPECTRUM | HILBERT ACTION | PALATINI APPROACH | COSMOLOGICAL CONSTANT | PHYSICS, MULTIDISCIPLINARY | PROBE WMAP OBSERVATIONS | DARK ENERGY | LAGRANGIANS | F R GRAVITY | FORMALISM | SUPERNOVAE

Journal Article

General Relativity and Gravitation, ISSN 0001-7701, 08/2006, Volume 38, Issue 8, pp. 1261 - 1284

An almost brief, though lengthy, review introduction about the long history of higher order gravities and their applications, as employed in the literature, is...

Weyl anomaly | Non-linear Lagrangian | Higher order gravity | 6TH-ORDER GRAVITY | GENERAL-RELATIVITY | PHYSICS, MULTIDISCIPLINARY | higher order gravity | non-linear Lagrangian | COSMOLOGICAL DYNAMICS | LAGRANGIAN-THEORIES | GAUSS-BONNET | INVERSE POWERS | ASTRONOMY & ASTROPHYSICS | NEWTONIAN LIMIT | METRIC THEORIES | GRAVITATIONAL-FIELD EQUATIONS | PALATINI FORMULATION | PHYSICS, PARTICLES & FIELDS

Weyl anomaly | Non-linear Lagrangian | Higher order gravity | 6TH-ORDER GRAVITY | GENERAL-RELATIVITY | PHYSICS, MULTIDISCIPLINARY | higher order gravity | non-linear Lagrangian | COSMOLOGICAL DYNAMICS | LAGRANGIAN-THEORIES | GAUSS-BONNET | INVERSE POWERS | ASTRONOMY & ASTROPHYSICS | NEWTONIAN LIMIT | METRIC THEORIES | GRAVITATIONAL-FIELD EQUATIONS | PALATINI FORMULATION | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 4/2016, Volume 2016, Issue 4, pp. 1 - 40

f(Lovelock) gravities are simple generalizations of the usual f(R) and Lovelock theories in which the gravitational action depends on some arbitrary function...

Black Holes | Classical Theories of Gravity | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ENERGY | THERMODYNAMICS | FIELD-THEORIES | TERMS | HIGHER-DERIVATIVE GRAVITY | PALATINI | BLACK-HOLES | ENTROPY | PHYSICS, PARTICLES & FIELDS | Analysis | Gravity | Gravitation | Asymptotic properties | Mathematical analysis | Black holes (astronomy) | Mathematical models | Entanglement | Entropy | Gravitons |

Black Holes | Classical Theories of Gravity | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ENERGY | THERMODYNAMICS | FIELD-THEORIES | TERMS | HIGHER-DERIVATIVE GRAVITY | PALATINI | BLACK-HOLES | ENTROPY | PHYSICS, PARTICLES & FIELDS | Analysis | Gravity | Gravitation | Asymptotic properties | Mathematical analysis | Black holes (astronomy) | Mathematical models | Entanglement | Entropy | Gravitons |