Noncommutative Geometry and Applications to Astrophysics


  • S.S. Moskaliuk Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
  • M. Wohlgenannt University of Vienna, Faculty of Physics





We introduce basic concepts of noncommutative geometry and noncommutative topological quantum field theory (NC TQFT). Some approaches to noncommutative gravity are reviewed. Furthermore, we discuss some applications to astrophysics.


R.J. Szabo, Class. Quant. Grav. 23, R199 (2006);

H.S. Yang, Int. J. Mod. Phys. A 24, 4473 (2009);

X. Calmet and A. Kobakhidze, Phys. Rev. D. 74, 047702 (2006);

H. Steinacker, JHEP 12, 049 (2007),[hep-th].

M. Chaichian, A. Tureanu, and G. Zet, Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity,; Phys. Lett. B 660, 573 (2008);[hep-th].

A.P. Balachandran, A. Pinzul, B.A. Qureshi, and S. Vaidya, Phys. Rev. D 76 105025 (2007);[hep-th].

S. Doplicher, K. Fredenhagen, and J.E. Roberts, Commun. Math. Phys. 172, 187 (1995);

A. Connes, M.R. Douglas, and A.S. Schwarz, JHEP 02, 003 (1998);

N. Seiberg and E. Witten, JHEP 09, 032 (1999);

V. Schomerus, JHEP 06, 030 (1999);

P. Aschieri, C. Blohmann, M. Dimitrijevic, F. Meyer, P. Schupp, and J. Wess, Class. Quant. Grav. 22, 3511 (2005);

P. Aschieri, M. Dimitrijevic, F. Meyer, and J. Wess, Class. Quant. Grav. 23, 1883 (2006);

P. Aschieri and L. Castellani, Noncommutative Gravity Solutions,

P. Aschieri and M. Wohlgenannt, Noncommutative Einstein Spaces, work in preparation.

S.S. Moskaliuk and M. Wohlgenannt, Ukr. J. Phys. 55, 505 (2010).

P. Schupp and S. Solodukhin, Exact Black Hole Solutions in Noncommutative Gravity, 0906.2724.

T. Ohl and A. Schenkel, Cosmological and Black Hole Spacetimes in Twisted Noncommutative Gravity,; JHEP 10, 052 (2009);

O. Bertolami and C.A.D. Zarro, Towards a Noncommutative Astrophysics, 10.1103/PhysRevD.81.025005; Phys. Rev. D 81, 025005 (2010);

G. Amelino-Camelia and S. Majid, Int. J. Mod. Phys. A 15, 4301 (2000);

J.C. Morton, Extended TQFT, Gauge Theory, and 2-Linearization, Preprint, math.QA/1003.5603 (2010).

M.F. Atiyah, Publ. Math. Inst. Hautes Etudes Sci. Paris 68, 175 (1989).

S.S. Moskaliuk and T.A. Vlassov, Ukr. J. Phys. 43, 836 (1998).

S.S. Moskaliuk and A.T. Vlassov, in Proceedings of the 5th Wigner Symposium (World Sci., Singapore, 1998), p. 162.

S.S. Moskaliuk, From Cayley-Klein Groups to Categories (TIMPANI, Kyiv, 2006).

S.S. Moskaliuk and N.M. Moskaliuk, J. of Phys.: Conf. Ser. 343, 012080 (2012).




How to Cite

Moskaliuk, S., & Wohlgenannt, M. (2012). Noncommutative Geometry and Applications to Astrophysics. Ukrainian Journal of Physics, 57(4), 462.



Astrophysics and cosmology