The Hamiltonian of f(R) gravity

• Published in: Canadian journal of physics Vol. 99; no. 999; pp. 814 - 819
• Main Authors: Abdelmohssin, Faisal A.Y, El Mekki, Osman M.H
• Format: Journal Article
• Language: English
• Published: 1840 Woodward Drive, Suite 1, Ottawa, ON K2C 0P7 NRC Research Press 01.09.2021; Canadian Science Publishing NRC Research Press
• Subjects: analytical mechanics; Black holes; calcul des variations; calculus of variations; classical general theory of relativity; Conjugates; Cosmology; Curvature; f(R) gravity; f(R) gravité; First principles; formalismes de Lagrange et de Hamilton; General relativity (Physics); Gravity; Hamiltonian function; Hamiltonian functions; Lagrange multiplier; Lagrangian and Hamiltonian formalisms; modified theory of gravity; mécanique analytique; Physics; Polynomials; Real numbers; Tensors; théorie classique de la relativité générale; théorie modifiée de la gravité; Transformations (mathematics); Variables; Sudan

We derive conjugate momenta variable tensors and the Hamiltonian equation of the source-free f(R) gravity from first principles using the Legendre transformation of these conjugate momenta variable tensors, conjugate coordinates variables — fundamental metric tensor and its first ordinary partial de...