Ashtekar's complex variables in general relativity and its teleparallelism equivalent

DOI10.1016/0003-4916(92)90313-BzbMath0875.53015MaRDI QIDQ1816165

Eckehard W. Mielke

Publication date: 8 April 1997

Published in: Annals of Physics (Search for Journal in Brave)

zbMATH Keywords

general relativityCP-violationRiemann-Cartan spacetimeteleparallelismChern-Simons type boundary termscovariant Yang-Mills type equation

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (28)

Algebra for a BRST quantization of metric-affine gravity ⋮ Self-dual teleparallel formulation of general relativity and the positive energy theorem ⋮ Dark energy from topology ⋮ S-duality in 3D gravity with torsion ⋮ Static vacuum solutions on curved space–times with torsion ⋮ Hamiltonian formulation of the teleparallel description of general relativity ⋮ Some D type metric forms for spacetimes with shear, nongeodesic, and nondiverging principal null congruences ⋮ Total conserved charges of Kerr-Newman spacetimes in gravity theory using a Poincaré gauge version of the teleparallel equivalent of general relativity ⋮ ADM-like Hamiltonian formulation of gravity in the teleparallel geometry ⋮ Variables suitable for constructing quantum states for the teleparallel equivalent of general relativity. II ⋮ ADM-like Hamiltonian formulation of gravity in the teleparallel geometry: derivation of constraint algebra ⋮ Yang-Mills configurations from \(3\)D Riemann-Cartan geometry ⋮ Anomaly-free solution of the Ashtekar constraints for the teleparallelism equivalent of gravity ⋮ GAUGE THEORIES OF GRAVITY AND MASS GENERATION ⋮ Einsteinian gravity from a topological action ⋮ The Hamiltonian constraint in the teleparallel equivalent of general relativity ⋮ On a class of invariant coframe operators with application to gravity ⋮ First-order formulation of teleparallel gravity and dual loop gravity ⋮ Weak field reduction in teleparallel coframe gravity: Vacuum case ⋮ Reconsiderations on the formulation of general relativity based on Riemannian structures ⋮ TORSION GRAVITY: A REAPPRAISAL ⋮ Duality in Yang's theory of gravity ⋮ Chern-Simons solutions of the chiral teleparallelism constraints of gravity ⋮ Double self-dual and anti-self-dual structure of \(N=1\) supergravity. ⋮ A brief guide to variations in teleparallel gauge theories of gravity and the Kaniel-Itin model ⋮ TELEPARALLEL ENERGY–MOMENTUM DISTRIBUTION OF LEWIS–PAPAPETROU SPACETIMES ⋮ Teleparallel Palatini theories ⋮ Coframe energy-momentum current. Algebraic properties

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