Generators of Local Lorentz Transformation in ADM-Vielbein Formalism of Gravitational Relativity

Abstract

General relativity contains 16 variables in the framework of ADM-Vielbein formalism which are 6 more than metric formalism. These variables emerge due to additional symmetry of Local Lorentz Transformations. In the framework of the Hamiltonian approach, it is expected to find first class constraints which generate this gauge symmetry. We introduce the complete form of such constraints and show that they exactly obey the algebra of the Lorentz group.

21 pages; no figures; published version in Classical and Quantum Gravity

References in corpus (5)

• The teleparallel equivalent of general relativity
• Interacting Spin-2 Fields
• Manifestly Lorentz-covariant variables for the phase space of general relativity
• Canonical analysis of $n$-dimensional Palatini action without second-class constraints
• Linking the ADM formulation to other Hamiltonian formulations of general relativity