Built on

S. Doplicher, K. Fredenhagen and J. E. Roberts, “Space-time quantization induced by classical gravity,” Phys. Lett. B 331, 39 (1994)
1994
Earlier work this paper cites.
S. Majid and H. Ruegg, “Bicrossproduct structure of kappa Poincaré group and noncommutative geometry,” Phys. Lett. B 334, 348 (1994), [hep-th/9405107]
1994
Earlier work this paper cites.
S. Zakrzewski, “Quantum Poincaré group related to the kappa -Poincaré algebra” J. Phys. A 27, 2075 (1994)
1994
Earlier work this paper cites.
J. Lukierski, A. Nowicki, H. Ruegg, V. N. Tolstoy, ”Q deformation of Poincaré algebra”, Phys. Lett. B 264 (1991) 331; J. Lukierski, H. Ruegg, ”Quantum κ \kappa -Poincaré in Any Dimensions”, Phys. Lett. B 329 (1994) 189
1994
Earlier work this paper cites.
S. Doplicher, K. Fredenhagen and J. E. Roberts, “The Quantum structure of space-time at the Planck scale and quantum fields,” Commun. Math. Phys. 172, 187 (1995), [hep-th/0303037]
1995
Earlier work this paper cites.
A. Sitarz, “Noncommutative differential calculus on the kappa Minkowski space,” Phys. Lett. B 349, 42 (1995) [hep-th/9409014]
1995
Earlier work this paper cites.
P. Podles, L. Woronowicz, ”On the classification of quantum Poicaré groups”, Commun. Math. Phys. 178 (1996), [arXiv:hep-th/9412059]
1996
Earlier work this paper cites.
C. Gonera, P. Kosinski and P. Maslanka, ”Differential calculi on quantum Minkowski space”, J. Math. Phys. 37,5820 (1996)
1996
Earlier work this paper cites.
R. Oeckl, ”Classification of Differential Calculi on U q ( b + ) U_{q}(b_{+}) , Classical Limits, and Duality”, J. Math. Phys. 40, 3588-3604, 1999, arXiv:math/9807097 [math.QA]
1999
Earlier work this paper cites.

Similar

K. Przanowski, “The bicovariant differential calculus on the kappa-Poincaré and kappa-Weyl groups” Czech Journ. Phys. 47, 107, (1997), q-alg/9606022 P. Podles, “Solutions of Klein–Gordon and Dirac equations on quantum Minkowski spaces”, Commun. Math. Phys. 181, 569-586 (1996), q-alg/9510019 P. Kosinski, P. Maslanka, J. Lukierski, A. Sitarz, “Generalized kappa-Deformations and Deformed Relativistic Scalar Fields on Noncommutative Minkowski Space”, Proceedings of the Conference ”Topics in Mathematical Physics, General Relativity and Cosmology”, World Scientific, 2003, arXiv:hep-th/0307038
2003
Cited alongside, same era.
P. Aschieri, C. Blohmann, M. Dimitrijević , F. Meyer, P. Schupp, J. Wess, ”A gravity theory on noncommutative spaces”, Classical Quantum Gravity 22, 3511 (2005). P. Aschieri, M. Dimitrijević, F. Meyer, J. Wess, ”Noncommutative Geometry and Gravity”, Classical Quantum Gravity 23, 1883 (2006). P. Aschieri, “Noncommutative Gravity and the *-Lie algebra of diffeomorphisms,” Subnucl. Ser. 44, 519 (2008) [hep-th/0703014]
2008
Cited alongside, same era.
T. Ohl and A. Schenkel, “Cosmological and Black Hole Spacetimes in Twisted Noncommutative Gravity,” JHEP 0910, 052 (2009), [arXiv:0906.2730 [hep-th]]. T. Ohl and A. Schenkel, “Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes,” JHEP 0901, 084 (2009), [arXiv:0810.4885 [hep-th]]. A. Schenkel, PhD Thesis “Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes,” arXiv:1210.1115 [math-ph]

Then

S. Meljanac, S. Kresic-Juric ,R. Strajn, ”Differential algebras on kappa-Minkowski space and action of the Lorentz algebra”, Int. J. Mod. Phys. A27 (2012) 1250057 ;
2012
Later among the works it cites.
T. Juric, S. Meljanac, R. Štrajn, ”Differential forms and k-Minkowski spacetime from extended twist”, Eur. Phys. J. C (2013) 73: 2472, arXiv:1211.6612 [hep-th]
Original
2013
Later among the works it cites.
K. S. Gupta, S. Meljanac and A. Samsarov, “Quantum statistics and noncommutative black holes,” Phys. Rev. D 85, 045029 (2012), [arXiv:1108.0341 [hep-th]]. K. S. Gupta, E. Harikumar, T. Jurić, S. Meljanac and A. Samsarov, “Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole,” JHEP 1509, 025 (2015), [arXiv:1505.04068 [hep-th]]. K. S. Gupta, E. Harikumar, T. Juric, S. Meljanac and A. Samsarov, “Effects of Noncommutativity on the Black Hole Entropy,” Adv. High Energy Phys. 2014, 139172 (2014), [arXiv:1312.5100 [hep-th]]
Original
2014
Later among the works it cites.
E. J. Beggs and S. Majid, “Gravity induced from quantum spacetime,” Class. Quant. Grav. 31, 035020 (2014), [arXiv:1305.2403 [gr-qc]]
Original

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2016

Central tetrads and quantum spacetimes

Borowiec, Andrzej, Juric, Tajron, Meljanac, Stjepan et al.

Understand

In this paper, we perform a parallel analysis to the model proposed in [25].

By considering the central co-tetrad (instead of the central metric), we investigate the modifications in the gravitational metrics coming from the noncommutative spacetime of the $\kappa$-Minkowski type in four dimensions.
The differential calculus corresponding to a class of Jordanian $\kappa$-deformations provides metrics, which lead either to cosmological constant or spatial curvature type solutions of non-vacuum Einstein equations.
Among vacuum solutions, we find pp-wave type.

Built on

S. Doplicher, K. Fredenhagen and J. E. Roberts, “Space-time quantization induced by classical gravity,” Phys. Lett. B 331, 39 (1994)
1994
Earlier work this paper cites.
S. Majid and H. Ruegg, “Bicrossproduct structure of kappa Poincaré group and noncommutative geometry,” Phys. Lett. B 334, 348 (1994), [hep-th/9405107]
1994
Earlier work this paper cites.
S. Zakrzewski, “Quantum Poincaré group related to the kappa -Poincaré algebra” J. Phys. A 27, 2075 (1994)
1994
Earlier work this paper cites.
J. Lukierski, A. Nowicki, H. Ruegg, V. N. Tolstoy, ”Q deformation of Poincaré algebra”, Phys. Lett. B 264 (1991) 331; J. Lukierski, H. Ruegg, ”Quantum κ \kappa -Poincaré in Any Dimensions”, Phys. Lett. B 329 (1994) 189
1994
Earlier work this paper cites.
S. Doplicher, K. Fredenhagen and J. E. Roberts, “The Quantum structure of space-time at the Planck scale and quantum fields,” Commun. Math. Phys. 172, 187 (1995), [hep-th/0303037]
1995
Earlier work this paper cites.
A. Sitarz, “Noncommutative differential calculus on the kappa Minkowski space,” Phys. Lett. B 349, 42 (1995) [hep-th/9409014]
1995
Earlier work this paper cites.
P. Podles, L. Woronowicz, ”On the classification of quantum Poicaré groups”, Commun. Math. Phys. 178 (1996), [arXiv:hep-th/9412059]
1996
Earlier work this paper cites.
C. Gonera, P. Kosinski and P. Maslanka, ”Differential calculi on quantum Minkowski space”, J. Math. Phys. 37,5820 (1996)
1996
Earlier work this paper cites.
R. Oeckl, ”Classification of Differential Calculi on U q ( b + ) U_{q}(b_{+}) , Classical Limits, and Duality”, J. Math. Phys. 40, 3588-3604, 1999, arXiv:math/9807097 [math.QA]
1999
Earlier work this paper cites.

Similar

K. Przanowski, “The bicovariant differential calculus on the kappa-Poincaré and kappa-Weyl groups” Czech Journ. Phys. 47, 107, (1997), q-alg/9606022 P. Podles, “Solutions of Klein–Gordon and Dirac equations on quantum Minkowski spaces”, Commun. Math. Phys. 181, 569-586 (1996), q-alg/9510019 P. Kosinski, P. Maslanka, J. Lukierski, A. Sitarz, “Generalized kappa-Deformations and Deformed Relativistic Scalar Fields on Noncommutative Minkowski Space”, Proceedings of the Conference ”Topics in Mathematical Physics, General Relativity and Cosmology”, World Scientific, 2003, arXiv:hep-th/0307038
2003
Cited alongside, same era.
P. Aschieri, C. Blohmann, M. Dimitrijević , F. Meyer, P. Schupp, J. Wess, ”A gravity theory on noncommutative spaces”, Classical Quantum Gravity 22, 3511 (2005). P. Aschieri, M. Dimitrijević, F. Meyer, J. Wess, ”Noncommutative Geometry and Gravity”, Classical Quantum Gravity 23, 1883 (2006). P. Aschieri, “Noncommutative Gravity and the *-Lie algebra of diffeomorphisms,” Subnucl. Ser. 44, 519 (2008) [hep-th/0703014]
2008
Cited alongside, same era.
T. Ohl and A. Schenkel, “Cosmological and Black Hole Spacetimes in Twisted Noncommutative Gravity,” JHEP 0910, 052 (2009), [arXiv:0906.2730 [hep-th]]. T. Ohl and A. Schenkel, “Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes,” JHEP 0901, 084 (2009), [arXiv:0810.4885 [hep-th]]. A. Schenkel, PhD Thesis “Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes,” arXiv:1210.1115 [math-ph]