New Hamiltonian analysis of Regge Teitelboim minisuperspace cosmology

Abstract

A new Hamiltonian formulation of the minisuperspace cosmology following from the geodetic brane gravity model introduced by Regge and Teitelboim is presented. The model is considered in the framework of higher derivative theories which facilitates Hamiltonian formulation. The analysis is done using the equivalent first order approach. The constraint algebra is shown to realize a truncated Virasoro algebra. The gauge generator containing the exact number of gauge parameters is constructed. Equivalence between the gauge and reparametrization symmetries has been demonstrated. Complete gauge fixed computations have been provided and formal quantization is indicated.

18 pages, Latex, Sec. 4 is substantially modified where WDW equations discussed, reference added, version to appear in PRD

References in corpus (5)

• More on Massive 3D Supergravity
• Ostrogradski approach for the Regge-Teitelboim type cosmology
• BRST symmetry and $W$-algebra in higher derivative models
• Quantum modified Regge-Teitelboim cosmology
• Gauge symmetry and Virasoro algebra in quantum charged rigid membrane -- a first order formalism

Cited by in corpus (12)

• Precision Measurements of Higgs Couplings: Implications for New Physics Scales
• Removing Ostrogradski ghost from degenerate gravity theories
• Quantum modified Regge-Teitelboim cosmology
• Hamiltonian analysis for linearly acceleration-dependent Lagrangians
• f(T) Quantum Cosmology
• BRST symmetry for Regge-Teitelboim based minisuperspace models
• Hydrogen-like Spectrum of Spontaneously Created Brane Universes with deSitter Ground State
• Ostrogradsky-Hamilton approach to geodetic brane gravity
• Hamilton-Jacobi approach for linearly acceleration-dependent Lagrangians
• A first-class approach of higher derivative Maxwell-Chern-Simons Proca model
• Modified Hamiltonian formalism for Regge Teitelboim Cosmology
• Investigations In Higher Derivative Field Theories