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In this paper, a noncommutative gravitational theory is constructed by applying Moyal deformation quantization and the Seiberg-Witten map to teleparallel gravity, a classical gravitational theory, as a gauge theory of local translational symmetry.
Snyder H S 1947 Quantized Space-Time Phys. Rev
1947
Earlier work this paper cites.
Moyal J E 1949 Quantum mechanics as a statistical theory Proc. Camb. Phil. Soc
1949
Earlier work this paper cites.
Jamil M, Momeni D and Myrzakulov R 2012 Attractor solutions in f ( T ) f(T) cosmology Eur. Phys. J
1959
Earlier work this paper cites.
Cho Y M 1976 Einstein Lagrangian as the translational Yang-Mills Lagrangian Phys. Rev
1976
Earlier work this paper cites.
Hayashi K and Shirafuji T 1979 New general relativity Phys. Rev
1979
Earlier work this paper cites.
Wald R M 1984 General Relativity
1984
Earlier work this paper cites.
Rowen L 1988 Ring Theory
1988
Earlier work this paper cites.
Connes A 1994 Noncommutative Geometry
1994
Earlier work this paper cites.
Corless R M, Gonnet G H, Hare D E G, Jeffrey D J and Knuth D E 1996 On the LambertW function Adv. Comput. Math
1996
Earlier work this paper cites.
de Andrade V C and Pereira J G 1997 Gravitational Lorentz force and the description of the gravitational interaction Phys. Rev
1997
Earlier work this paper cites.
Seiberg N and Witten E 1999 String theory and noncommutative geometry J. High Energy Phys
1999
Earlier work this paper cites.
Madore J 1999 An Introduction to Noncommutative Differential Geometry and its Physical Applications
1999
Earlier work this paper cites.
Moffat J W 2000 Noncommutative quantum gravity Phys. Lett
2000
Earlier work this paper cites.
Chamseddine A H 2001 Deforming Einstein’s gravity Phys. Lett
2001
Earlier work this paper cites.
Langmann E and Szabo R J 2001 Teleparallel gravity and dimensional reductions of noncommutative gauge theory Phys. Rev
2001
Earlier work this paper cites.
Bichl A A, Grimstrup J M, Popp L, Schweda M and Wulkenhaar R 2001 Deformed QED via Seiberg–Witten Map arXiv:hep-th/ 0102103
2001
Earlier work this paper cites.
Bojowald M 2001 Absence of a Singularity in Loop Quantum Cosmology Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
Hammond R T 2002 Torsion gravity Rep. Prog. Phys. 65
2002
Earlier work this paper cites.
García-Compeán H, Obregón O and Ramírez C 2002 Noncommutative Quantum Cosmology Phys. Rev. Lett. 88
2002
Earlier work this paper cites.
Steinhardt P J and Turok N 2002 Cosmic evolution in a cyclic universe Phys. Rev
2002
Cited alongside, same era.
García-Compeán H, Obregón O, Ramírez C and Sabido M 2003 Noncommutative self-dual gravity Phys. Rev
2003
Cited alongside, same era.
Szabo R J 2003 Quantum field theory on noncommutative spaces Phys. Rept
2003
Cited alongside, same era.
Arcos H I and Pereira J G 2004 TORSION GRAVITY: A REAPPRAISAL Int. J. Mod. Phys
2004
Cited alongside, same era.
Rovelli C 2004 Quantum Gravity
2004
Cited alongside, same era.
Amorim R, Braga N R F and Ferreira C N 2004 Nonequivalent Seiberg–Witten maps for noncommutative massive U ( N ) U(N) gauge theory Phys. Lett
2004
Cited alongside, same era.
Sotitiou T P, Li B and Barrow J D 2011 Generalizations of teleparallel gravity and local Lorentz symmetry Phys. Rev
2011
Later among the works it cites.
Li M, Miao R X and Miao Y G 2011 Degrees of freedom of f ( T ) f(T) gravity J. High Energy Phys
2011
Later among the works it cites.
Aschieri P and Castellani L 2012 Noncommutative gravity coupled to fermions: second order expansion via Seiberg–Witten map J. High Energy Phys
2012
Later among the works it cites.
Bamba K, Myrzakulov R, Nojiri S and Odintsov S D 2012 Reconstruction of f ( T ) f(T) gravity: Rip cosmology, finite-time future singularities, and thermodynamics Phys. Rev
2012
Later among the works it cites.
Kiefer C 2012 Quantum Gravity
2012
Later among the works it cites.
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Chaichian M, Kulish P P, Nishijima K and Tureanu A 2004 On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT Phys. Lett
2004
Cited alongside, same era.
Barbosa G D and Pinto-Neto N 2004 Noncommutative geometry and cosmology Phys. Rev
2004
Cited alongside, same era.
Aschieri P, Blohmann C, Dimitrijevi c ´ \acute{\rm c} M, Meyer F, Schupp S and Wess J 2005 A gravity theory on noncommutative spaces Class. Quantum Grav. 22
2005
Cited alongside, same era.
Aschieri P, Dimitrijevi c ´ \acute{\rm c} M, Meyer F and Wess J 2006 Noncommutative geometry and gravity Class. Quantum Grav. 23
2006
Cited alongside, same era.
Connes A and Marcolli M 2007 Noncommutative Geometry, Quantum Fields and Motive
2007
Cited alongside, same era.
Bojowald M 2007 Large scale effective theory for cosmological bounces Phys. Rev
2007
Cited alongside, same era.
Tamanini N and Boehmer C G 2012 Good and bad tetrads in f ( T ) f(T) gravity Phys. Rev
2012
Later among the works it cites.
Aldrovandi R and Pereira J G 2013 Teleparallel Gravity An Introduction
2013
Later among the works it cites.
Bamba K, de Haro J and Odintsov S D 2013 Future singularities and teleparallelism in loop quantum cosmology JCAP
2013
Later among the works it cites.
Cortese I and García J A 2013 Noncommutative teleparallel gravity from a consistent deformation of gauge theory J. Phys. Conf. Ser
2013
Later among the works it cites.
Ulhoa S C and Amorim R G G 2014 On Teleparallel Quantum Gravity in Schwarzschild Space-Time Adv. High Energy Phys
2014
Later among the works it cites.
Ortín T 2015 Gravity and String
2015
Later among the works it cites.
Krk M and Saridakis E N 2016 The covariant formulation of f ( T ) f(T) gravity Class. Quantum Grav. 33
2016
Later among the works it cites.
Cai Y F, Capozziello S, Laurentis M D and Saridakis E N 2016 f ( T ) f(T) teleparallel gravity and cosmology Rep. Prog. Phys. 79
2016
Later among the works it cites.
Ryden B 2016 Introduction to Cosmology
2016
Later among the works it cites.
Golonev A, Koivisto T and Sandstad M 2017 On the covariance of teleparallel gravity theories Class. Quantum Grav. 34
2017
Later among the works it cites.
Bahamonde A, Capozziello S, Faizal M and Nunes R C 2017 Nonlocal teleparallel cosmology Eur. Phys. J
2017
Later among the works it cites.
Dimitrijevi c ´ \acute{\rm c} Ćirić M, Nikolić B and Radovanović V 2017 Noncommutative S O ( 2 , 3 ) ⋆ SO(2,3)_{\star} gravity: Noncommutativity as a source of curvature and torsion Phys. Rev
2017
Later among the works it cites.
Dimitrijevi c ´ \acute{\rm c} Ćirić M , Nikolić B and Radovanović V 2017 Noncommutative gravity and the relevance of the θ \theta -constant deformation EPL
2017
Later among the works it cites.
Edwards J P 2017 Non-commutativity in polar coordinates Eur. Phys. J
2017
Later among the works it cites.