Cosmological perfect-fluids in f(R) gravity

DOI10.1142/S0219887819500087zbMath1429.83019arXiv1810.03204WikidataQ125903013 ScholiaQ125903013MaRDI QIDQ4615123

Luca Guido Molinari, Salvatore Capozziello, Carlo Alberto Mantica

Publication date: 1 February 2019

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03204

zbMATH Keywords

cosmologyconformal symmetryextended theories of gravityperfect fluids

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Equations of motion in general relativity and gravitational theory (83C10)

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Cites Work

• Unnamed Item
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• Unnamed Item
• Global decomposition of a Lorentzian manifold as a generalized Robertson-Walker space
• On the geometry of generalized Robertson-Walker spacetimes: Curvature and Killing fields
• Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• Twisted Lorentzian manifolds: a characterization with torse-forming time-like unit vectors
• On the geometry of generalized Robertson-Walker spacetimes: geodesics.
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Modified gravity theories on a nutshell: inflation, bounce and late-time evolution
• A new type of isotropic cosmological models without singularity
• Extended theories of gravity and their cosmological and astrophysical applications
• A simple characterization of generalized Robertson-Walker spacetimes
• A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time
• On the theory and applications of modern cosmography
• On the Weyl and Ricci tensors of Generalized Robertson-Walker space-times
• Uniqueness of complete maximal hypersurfaces in spatially parabolic generalized Robertson–Walker spacetimes
• THE CAUCHY PROBLEM FOR f(R)-GRAVITY: AN OVERVIEW
• Weyl compatible tensors
• Noether symmetry approach in Gauss–Bonnet cosmology
• Generalized Robertson–Walker spacetimes — A survey
• Some remarks on locally conformally flat static space–times
• <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
• Riemann compatible tensors
• Newtonian, Post-Newtonian and Parametrized Post-Newtonian limits of f(R, 𝒢) gravity
• ON THE WELL-FORMULATION OF THE INITIAL VALUE PROBLEM OF METRIC-AFFINE f(R)-GRAVITY
• Energy in topologically massive gravity
• Einstein-like warped product manifolds
• CURVATURE QUINTESSENCE
• Connecting early and late universe by f(R) gravity
• Differential Geometry of Warped Product Manifolds and Submanifolds
• A note on generalized Robertson–Walker space-times
• On the torse-forming directions in Riemannian spaces
• General Relativity

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