Gauge symmetries of the teleparallel theory of gravity

Abstract

We study gauge properties of the general teleparallel theory of gravity, defined in the framework of Poincare gauge theory. It is found that the general theory is characterized by two kinds of gauge symmetries: a specific gauge symmetry that acts on Lagrange multipliers, and the standard Poincare gauge symmetry. The canonical generators of these symmetries are explicitly constructed and investigated.

14 pages, Latex, uses equations.sty

References in corpus (1)

• Hamiltonian structure of the teleparallel formulation of GR

Cited by in corpus (28)

• Teleparallel Palatini theories
• Lagrange formulation of the symmetric teleparallel gravity
• Problems with Propagation and Time Evolution in f(T) Gravity
• Beyond Einstein-Cartan gravity: Quadratic torsion and curvature invariants with even and odd parity including all boundary terms
• Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis
• Kerr-Newman Solution and Energy in Teleparallel Equivalent of Einstein Theory
• Can Gravity Probe B usefully constrain torsion gravity theories?
• Reissner-Nordström Spacetime in the Tetrad Theory of Gravitation
• Compact stars in $f(T)$ extended theory of gravity
• Review of the Hamiltonian analysis in teleparallel gravity
• Charged Axially Symmetric Solution and Energy in Teleparallel Theory Equivalent to General Relativity
• Energy-momentum current for coframe gravity
• Remnant Symmetry, Propagation and Evolution in f(T) Gravity
• Acausality and Nonunique Evolution in Generalized Teleparallel Gravity
• Dirac-Bergmann analysis and Degrees of Freedom of Coincident $f(Q)$-gravity
• Counting Components in the Lagrange Multiplier Formulation of Teleparallel Theories
• Conservation laws in the teleparallel theory of gravity
• Boson stars in $f(T)$ extended theory of gravity
• The Teleparallel Lagrangian and Hamilton-Jacobi Formalism
• Goedel type solution in teleparallel gravity
• Dynamic properties of cyclic cosmologies
• Energy and angular momentum of general 4-dimensional stationary axi-symmetric spacetime in teleparallel geometry
• Maxwell-type behaviour from a geometrical structure
• Geometric multipliers and partial teleparallelism in Poincaré gauge theory
• Conservation laws in the teleparallel theory with a positive cosmological constant
• Degrees of Freedom of New General Relativity I: Type 2, Type 3, Type 5, and Type 8
• Self-Excited Gravitational Instantons
• Degrees of freedom of a quadratic scalar-nonmetricity theory