Gauge and spacetime connections in the Plebanski formulation of complex general relativity

A. Trautman, “Fibre bundles associated with space-time,” Rep. Math. Phys. (Torun) 1

1970

Earlier work this paper cites.

C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation

1973

Earlier work this paper cites.

T. Levi-Civita, The Absolute Differential Calculus (Calculus of Tensors)

1977

Earlier work this paper cites.

J.F. Plebański, “On the separation of Einsteinian substructures,” J. Math. Phys. 18

1977

Earlier work this paper cites.

S. MacDowell and F. Mansouri, “Unified geometric theory of gravity and supergravity,” Phys. Rev. Lett. 38

1977

Earlier work this paper cites.

H. Urbantke, “On integrability properties of SU (2) Yang-Mills fields. I. Infinitesimal part,” J. Math. Phys. 25

1984

Earlier work this paper cites.

R. Capovilla, J. Dell, T. Jacobson, and L. Mason, “Self-dual 2-forms and gravity,” Class. Quantum Grav. 8

1991

Earlier work this paper cites.

R. Capovilla, J. Dell, and T. Jacobson, “A pure spin-connection formulation of gravity,” Class. Quantum Grav. 8

1991

Earlier work this paper cites.

I. Bengtsson, “2-form geometry and the ’t Hooft-Plebanski action,” Class. Quantum Grav. 12

1995

Cited alongside, same era.

E. Cartan, Riemannian Geometry in an Orthogonal Frame

2001

Cited alongside, same era.

K. Krasnov, “Renormalizable Non-metric quantum gravity?,” (2007), arXiv:hep-th/0611182

2007

Cited alongside, same era.

K. Krasnov, “Non-metric gravity: A status report,” Mod. Phys. Lett. A 22

Original

2007

Cited alongside, same era.

V. Cuesta and M. Montesinos, “Cartan’s equations define a topological field theory of the BF type,” Phys. Rev. D 76

2007

Cited alongside, same era.

K. Krasnov, “Deformations of the constraint algebra of Ashtekar’s Hamiltonian formulation of general relativity,” Phys. Rev. Lett. 100

R. Capovilla, M. Montesinos, and M. Velázquez, “Minimally modified self-dual 2-forms gravity,” Class. Quantum Grav. 27

Original

2010

Later among the works it cites.

L. Liu, M. Montesinos, and A. Perez, “Topological limit of gravity admitting an SU(2) connection formulation,” Phys. Rev. D 81

Original

2010

Later among the works it cites.

K. Krasnov, “Plebański formulation of general relativity: a practical introduction,” Gen. Rel. Grav. 43

Original

2011

Later among the works it cites.

D. González, Gravedad de 2-formas

2011

Later among the works it cites.

M. Velázquez, BF gravity, matter couplings, and related theories

2011

Later among the works it cites.