Algebraic structure and Poisson's integral theory of \(f(R)\) cosmology

DOI10.1007/s10773-011-0875-yzbMath1242.83122OpenAlexW2000110443MaRDI QIDQ432010

Yong-Xin Guo, Feng-Ping Xie, Jing-li Fu

Publication date: 3 July 2012

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-011-0875-y

zbMATH Keywords

algebraic structurefirst integral\(f(R)\) cosmologyPoisson integral method

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (1)

Algebraic structure and Poisson brackets of single degree of freedom non-material volumes

Cites Work

• Noether symmetry in \(f(R)\) cosmology
• On the integration methods of nonholonomic dynamics
• Algebraic structures and Poisson integrals of relativistic dynamical equations for rotational systems
• Noether symmetry in the higher order gravity theory
• Quantum cosmology with R + R ² gravity
• Dynamical symmetries and conserved quantities
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
• Spherically symmetric solutions in f ( R ) gravity via the Noether symmetry approach
• Dynamical Noether invariants for time-dependent nonlinear systems
• Symmetry groups and conserved quantities for the harmonic oscillator
• Dynamical algebraic approach and invariants for time-dependent Hamiltonian systems in two dimensions
• Lie symmetries, nonlinear equations of motion and new Ermakov systems
• The Unified Form of Hojman's Conservation Law and Lutzky's Conservation Law

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