Hamiltonian Analysis of Lagrange Multiplier Modified Gravity

Abstract

We develop Hamiltonian formalism for Lagrange Multiplier Modified Gravity. We further calculate the Poisson brackets between constraints and we show that they coincide with the algebra of constraints in Hamiltonian formulation of General Relativity.

15 pages, references added

References in corpus (10)

• f(R) theories
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Quantum Gravity as a Dissipative Deterministic System
• Dust of Dark Energy
• Covariant renormalizable gravity and its FRW cosmology
• Various Hamiltonian formulations of f(R) gravity and their canonical relationships
• A proposal for covariant renormalizable field theory of gravity
• Path Integral Approach to 't Hooft's Derivation of Quantum from Classical Physics
• Can quantum mechanics be an emergent phenomenon?
• On the Canonical Formalism for a Higher-Curvature Gravity

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• Exact Solutions in Chiral Cosmology
• Dynamics of Chiral Cosmology
• New integrable models and analytical solutions in $f(R)$~cosmology with an ideal gas
• Scalar-tensor theory with Lagrange multipliers: a way of understanding the cosmological constant problem, and future singularities
• Cosmological Evolution of Two-Scalar fields Cosmology in the Jordan frame
• Conservation laws and Exact Solutions in Brans-Dicke Cosmology with a Scalar Field
• Observational constraints on a cosmological model with Lagrange multipliers
• Duality transformation and conformal equivalent scalar-tensor theories
• Classical and Quantum cosmology for two scalar field Brans-Dicke type theory: A Noether Symmetry approach