Perusing Buchbinder--Lyakhovich canonical formalism for Higher-Order Theories of Gravity
arXiv:2301.05710 · doi:10.3390/universe9010048
Abstract
Ostrogradsky's, Dirac's and Horowitz's techniques of higher order theories of gravity produce identical phase-space structures. The problem is manifested in the case of Gauss-Bonnet-dilatonic coupled action in the presence of higher-order term, in which case, classical correspondence can't be established. Here, we explore yet another technique developed by Buchbinder and his collaborators (BL) long back and show that it also suffers from the same disease. However, expressing the action in terms of the three-space curvature, and removing "the total derivative terms", if Horowitz's formalism or even Dirac's constraint analysis is pursued, all pathologies disappear. Here we show that the same is true for BL formalism, which appears to be the simplest of all the techniques, to handle.
arXiv comment19 pages, 0 figure
References in corpus (39)
- Modified Gauss-Bonnet theory as gravitational alternative for dark energy
- Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
- Gauss-Bonnet dark energy
- Singularity-free cosmological solutions of the superstring effective action
- Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
- Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
- The fate of (phantom) dark energy universe with string curvature corrections
- Dark energy and cosmological solutions in second-order string gravity
- Singularity-free cosmological solutions in quadratic gravity
- String-Inspired Higher-Curvature Terms and the Randall-Sundrum Scenario
- Cosmological Solutions of Higher-Curvature String Effective Theories with Dilatons
- Constraints on Gauss-Bonnet Gravity in Dark Energy Cosmologies
- Avoidance of Naked Singularities in Dilatonic Brane World Scenarios with a Gauss-Bonnet Term
- If Gauss-Bonnet interaction plays the role of dark energy
- Towards inflation and dark energy cosmologies from modified Gauss-Bonnet theory
- Dynamical Relaxation of Dark Energy: A Solution to Early Inflation, Late-time Acceleration and the Cosmological Constant Problem
- Stability and Hamiltonian formulation of higher derivative theories
- On compatibility of string effective action with an accelerating universe
- Exact Solutions and the Cosmological Constant Problem in Dilatonic-Domain-Wall Higher-Curvature String Gravity
- Variational Principles and Cosmological Models in Higher-Order Gravity
- Quantum cosmology with a curvature squared action
- Hamiltonian formulation of curvature squared action
- Noether symmetry for Gauss-Bonnet dilatonic gravity
- Canonical formulation of curvature squared action in the presence of lapse function
- New brane solutions in higher order gravity
- Transient Crossing of Phantom divide line under Gauss-Bonnet interaction
- Early Universe with modified scalar-tensor theory of gravity
- Resolving the issue of branched Hamiltonian in modified Lanczos-Lovelock gravity
- Single-Valued Hamiltonian via Legendre-Fenchel Transformation and Time Translation Symmetry
- Canonical formulation of scalar curvature squared action in higher dimensions
- Canonical structure of higher derivative theories
- Towards Inflation and Accelerating Cosmologies in String-Generated Gravity Models
- Degenerate Hamiltonian operator in higher-order canonical gravity -- the problem and a remedy
- Early universe in view of a modified theory of gravity
- History of cosmic evolution with modified Gauss-Bonnet-dilatonic coupled term
- Equivalent and inequivalent canonical structures of higher order theories of gravity
- Probing the early universe with a generalized action
- Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity
- Scalar-tensor theories and cosmology