Introduction to the ADM formalism

Abstract

The authors present concepts and mathematical developments which give rise to the Hamiltonian formulation of Einstein's general relativity, first introduced by Arnowitt, Deser, and Misner. All the geometrical quantities needed for the construction are explicitly obtained, and examples of some of the application of the formalism are given.

23 pages, 3 figures. Published in 1991, in Spanish. Translated into English by Ribhu Paul. V2 has corrected typos. The authors have made no effort to update it nor its bibliography. We hope, however, that by making it publicly available it may be useful for students interested in learning the 3+1 formalism of general relativity within the ADM formalism

Cited by in corpus (3)

• Superspace worldline formalism approach to Quantum Gravity: dimensional reduction and Holography
• Symmetry Transformations in Cosmological and Black Hole Analytical Solutions
• Quantum and higher curvature corrections to the anti-de Sitter black hole