Hamiltonian formalism and gauge-fixing conditions for cosmological perturbation theory

DOI10.1088/1361-6382/AB45AAzbMath1478.83256arXiv1810.11621OpenAlexW3098150288MaRDI QIDQ5159989

Przemysław Małkiewicz

Publication date: 28 October 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11621

zbMATH Keywords

Hamiltonian formalismcosmological perturbation theoryDirac method for constrained systemsreduced phase space formalism

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Hamilton's equations (70H05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Constrained dynamics, Dirac's theory of constraints (70H45) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) Canonical quantization (81S08)

Related Items (3)

Gauge-fixing and spacetime reconstruction in the Hamiltonian theory of cosmological perturbations ⋮ Observations in quantum cosmology ⋮ Dirac procedure and the Hamiltonian formalism for cosmological perturbations in a Bianchi I universe

Cites Work

• Republication of: The dynamics of general relativity
• Hamiltonian formalism and gauge invariance for linear perturbations in inflation
• Scalar and vector perturbations in quantum cosmological backgrounds
• Perfect Fluids in General Relativity: Velocity Potentials and a Variational Principle
• Gauge invariant variables for cosmological perturbation theory using geometrical clocks
• Second order cosmological perturbations: simplified gauge change formulas
• Multiple choices of time in quantum cosmology
• INTRODUCTION TO DIRAC OBSERVABLES
• On Hamiltonian systems with first-class constraints
• Clocks and dynamics in quantum models of gravity
• What is dynamics in quantum gravity?
• TIME AND INTERPRETATIONS OF QUANTUM GRAVITY
• Gauge invariant canonical cosmological perturbation theory with geometrical clocks in extended phase-space — A review and applications
• Tensor perturbations in quantum cosmological backgrounds

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