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PALATINI APPROACH TO MODIFIED GRAVITY: f(R) THEORIES AND BEYOND (Q3011566)

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English	PALATINI APPROACH TO MODIFIED GRAVITY: f(R) THEORIES AND BEYOND	scientific article

Statements

scholarly article

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PALATINI APPROACH TO MODIFIED GRAVITY: f(R) THEORIES AND BEYOND (English)

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Gonzalo J. Olmo

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International Journal of Modern Physics D

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publication date

29 June 2011

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full work available at URL

https://arxiv.org/abs/1101.3864

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zbMATH Keywords

Palatini formalism

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modified gravity

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cosmic speed-up

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dark energy

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dark matter

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MOND

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quantum gravity phenomenology

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Hamiltonian formulation

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stellar structure

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Cauchy problem

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solar system tests

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MaRDI profile type

MaRDI publication profile

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The confrontation between general relativity and experiment

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DYNAMICS OF DARK ENERGY

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Cosmological constant -- the weight of the vacuum

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The cosmological constant and dark energy

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The cosmological constant

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\(f(R)\) theories

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<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

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Extended theories of gravity and their cosmological and astrophysical applications

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INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY

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Quantum Field Theory in Curved Spacetime

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Background independent quantum gravity: a status report

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Modern Canonical Quantum General Relativity

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The Sun's Rotation and Relativity

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Variational formulation of general relativity from 1915 to 1925 ''Palatini's method'' discovered by Einstein in 1925

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Variational and conformal structure of nonlinear metric-connection gravitational Lagrangians

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Lovelock gravity at the crossroads of Palatini and metric formulations

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Palatini variational principle for <b> <i>N</i> </b> -dimensional dilaton gravity

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Surface terms, asymptotics and thermodynamics of the Holst action

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Asymptotics and Hamiltonians in a first-order formalism

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A new nonsymmetric gravitational theory

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Physical aspects of the space-time torsion

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Metric-affine variational principles in general relativity. I. Riemannian space-time

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Metric-affine \(f(R)\) theories of gravity

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FURTHER EXTENDED THEORIES OF GRAVITATION: PART I

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FURTHER EXTENDED THEORIES OF GRAVITATION: PART II

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<i>f</i> ( <i>R</i> ) gravity with torsion: the metric-affine approach

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<i>f</i> ( <i>R</i> ) gravity, torsion and non-metricity

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Metric-affine f(R)-gravity with torsion: an overview

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Conformal aspects of the Palatini approach in extended theories of gravity

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Universality of the Einstein equations for Ricci squared Lagrangians

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The universality of vacuum Einstein equations with cosmological constant

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INTERFEROMETRIC DETECTION OF GRAVITATIONAL WAVES: THE DEFINITIVE TEST FOR GENERAL RELATIVITY

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Curvature scalar instability in \(f(R)\) gravity

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Can modified gravity explain accelerated cosmic expansion?

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The cosmic snap parameter in <i>f</i> ( <i>R</i> ) gravity

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The present universe in the Einstein frame, metric-affine <i>R</i> + 1/ <i>R</i> gravity

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Acceleration of the universe in the Einstein frame of a metric-affine <i>f</i> ( <i>R</i> ) gravity

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The speed of light in extended gravity theories

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The Cauchy problem for the <i>R</i>+<i>R</i>2 theories of gravity without torsion

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A note on energy-momentum conservation in Palatini formulation of \(L(R)\) gravity

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Palatini Form of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>R</mml:mi></mml:math>Gravity

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Higher-order gravity theories and scalar–tensor theories

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<i>f</i> ( <i>R</i> ) gravity and scalar–tensor theory

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

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Covariant conservation laws from the Palatini formalism

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A note on covariant conservation of energy–momentum in modified gravities

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PALATINI FORMALISM OF FIVE-DIMENSIONAL KALUZA–KLEIN THEORY

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Measurements of Ω and Λ from 42 High‐Redshift Supernovae

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Type Ia Supernova Discoveries at<i>z</i>> 1 from the<i>Hubble Space Telescope</i>: Evidence for Past Deceleration and Constraints on Dark Energy Evolution

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Essay: Quantum field theory is Not merely quantum mechanics applied to low energy effective degrees of freedom

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Modified Friedmann equations in <i>R</i> <sup> 1</sup> -modified gravity

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Cosmological evolution in 1/ <i>R</i> -gravity theory

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\(f(R)\) cosmology in the first order formalism

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\(f(R)\) theories of gravity in the Palatini approach matched with observations

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Cosmological constraints on <i>f</i>(<i>R</i>) gravity theories within the Palatini approach

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Constraints on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>cosmology in the Palatini formalism

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Gravitational lensing and \(f(R)\) theories in the Palatini approach

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ACCELERATED EXPANSION IN MODIFIED GRAVITY WITH A YUKAWA-LIKE TERM

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Cosmological perturbations in the Palatini formulation of modified gravity

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Cosmological perturbations in Palatini-modified gravity

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Constraining <i>f</i> ( <i>R</i> ) gravity in the Palatini formalism

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The nearly Newtonian regime in nonlinear theories of gravity

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Gravitational potential in the Palatini formulation of modified gravity

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Post-Newtonian parameters from alternative theories of gravity

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The Newtonian limit in a family of metric affine theories of gravitation

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Hydrostatic equilibrium equation and Newtonian limit of the singular <i>f</i> ( <i>R</i> ) gravity

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On the viability of the Palatini form of 1/ <i>R</i> gravity

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The conformal frame freedom in theories of gravitation

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Indistinguishable macroscopic behaviour of Palatini gravities and general relativity

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A no-go theorem for polytropic spheres in Palatini <i>f</i> ( <i>R</i> ) gravity

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Spherically symmetric spacetimes in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>gravity theories

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Curvature singularities, tidal forces and the viability of Palatini <i>f</i> ( <i>R</i> ) gravity

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General Relativity

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The Cauchy problem of <i>f</i> ( <i>R</i> ) gravity

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Foundations of Quantum Mechanics

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The Cauchy problem of scalar–tensor theories of gravity

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Hyperbolicity of the 3+1 system of Einstein equations

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The Cauchy problem for metric-affine <i>f</i> ( <i>R</i> )-gravity in the presence of perfect-fluid matter

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ON THE WELL-FORMULATION OF THE INITIAL VALUE PROBLEM OF METRIC-AFFINE f(R)-GRAVITY

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Palatini \(f(R)\) gravity as a fixed point

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A comment on ‘The Cauchy problem of <i>f</i> ( <i>R</i> ) gravity’

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Reply to ‘A comment on ‘The Cauchy problem of <i>f</i> ( <i>R</i> ) gravity’’

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Loop quantum cosmology

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Quantum Nature of the Big Bang

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Quantum nature of the big bang: Improved dynamics

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Closed Friedmann–Robertson–Walker model in loop quantum cosmology

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Loop quantum cosmology of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>FRW models

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Loop quantum cosmology and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:math>Robertson-Walker model

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Are loop quantum cosmos never singular?

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Curvature-squared cosmology in the first-order formalism

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Representation of the Einstein-Proca field by an A<sub>4</sub>*

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Universal field equations for metric-affine theories of gravity

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RELATIVITY IN SPACETIMES WITH SHORT-DISTANCE STRUCTURE GOVERNED BY AN OBSERVER-INDEPENDENT (PLANCKIAN) LENGTH SCALE

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Gravity's rainbow

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Identifiers

zbMATH Open document ID

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10.1142/S0218271811018925

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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