Background independent noncommutative gravity from Fedosov quantization of endomorphism bundle

P. Aschieri, M. Dimitrijević, F. Meyer, J. Wess Noncommutative geometry and gravity , Class. Quant. Grav. 23

1912

Earlier work this paper cites.

A. Z. Petrov, Novye metody v obshchej teorii otnositel’nosti (Nauka, Moscow 1966)

1966

Earlier work this paper cites.

M. Ferraris and M. Francaviglia, Covariant first-order Lagrangians, energy-density and superpotentials in general relativity , Gen. Relat. Gravit. 22

1990

Earlier work this paper cites.

B.V. Fedosov, A simple geometrical construction of deformation quantization , J. Diff. Geom. 40

1994

Earlier work this paper cites.

C. Emmrich and A. Weinstein, The differential geometry of Fedosov’s quantization, in Lie Theory and Geometry. In Honor of Bertram Kostant eds. J.-L. Brylinski, R. Brylinski, V. Guillemin and V. Kac (Birkhäuser, 1994), hep-th/9311094

1994

Earlier work this paper cites.

B. V. Fedosov, Deformation quantization and index theory (Akademie Verlag, Berlin 1996)

1996

Earlier work this paper cites.

I. Gelfand, V. Retakh and M. Shubin, Fedosov Manifolds , Adv. Math. 136

1998

Earlier work this paper cites.

N. Seiberg and E. Witten, String theory and non-commutative geometry , JHEP 09

1999

Earlier work this paper cites.

A.H. Chamseddine Deforming Einstein’s Gravity , Phys. Lett. B 504

2001

Earlier work this paper cites.

S. Waldmann, Morita equivalence of Fedosov star products and deformed Hermitian vector bundles , Lett. Math. Phys. 60

2002

Earlier work this paper cites.

B.V. Fedosov On the trace density in deformation quantization in Deformation quantization: proceedings of the meeting of theoretical physicists and mathematicians, Strasbourg, May 31-June 2, 2001 , de Gruyter, Berlin 2002, MPIM2001-75

2002

Earlier work this paper cites.

A.H. Chamseddine An invariant action for noncommutative gravity in four-dimensions , J. Math. Phys. 44

2003

Earlier work this paper cites.

M. A. Cardella, D. Zanon Noncommutative deformation of four dimensional Einstein gravity , Class. Quant. Grav. 20

2003

Earlier work this paper cites.

H. Garcia-Compean, O. Obregon, C. Ramirez, M. Sabido Noncommutative self-dual gravity , Phys. Rev. D 68

2003

Cited alongside, same era.

H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers and E. Herlt, Exact solutions of Einstein’s field equations , (Cambridge University Press, 2003)

2003

Cited alongside, same era.

A.H. Chamseddine SL(2,C) gravity with a complex vierbein and its noncommutative extension , Phys. Rev. D 69

2004

Cited alongside, same era.

P. Aschieri, C. Blohmann, M. Dimitrijević, F. Meyer, P. Schupp, J. Wess A gravity theory on noncommutative spaces , Class. Quant. Grav. 22

2005

Cited alongside, same era.

X. Calmet, A. Kobakhidze Noncommuative general relativity , Phys. Rev. D 72

2005

Cited alongside, same era.

M. Dobrski, Seiberg-Witten equations from Fedosov deformation quantization of endomoprhism bundle , Int. J. Geom. Meth. Mod. Phys. 8

Original

2011

Later among the works it cites.

P. Aschieri and L. Castellani, Noncommutative gravity coupled to fermions: second order expansion via Seiberg-Witten map , JHEP 07

Original

2012

Later among the works it cites.

P. Aschieri and L. Castellani, Extended gravity theories from dynamical noncommutativity , Gen. Relativ. Gravit. 45

Original

2013

Later among the works it cites.

P. Aschieri, L. Castellani and M. Dimitrijević, Noncommutative gravity at second order via Seiberg-Witten map , Phys. Rev. D 87

Original

2013

Later among the works it cites.

L. Castellani, O ​ S ​ p ​ ( 1 | 4 ) OSp(1|4) supergravity and its noncommutative extension , Phys. Rev. D 88