Non-commutative multi-dimensional cosmology

Journal of High Energy Physics

Volumn , Issue 1, 2006, Pages 3429-3439

  Khosravi, Nima ^a   Jalalzadeh, Shahram ^a   Sepangi, Hamid Reza ^a,b  

^a SHAHID BEHESHTI UNIVERSITY   (Iran)

^b INSTITUTE FOR STUDIES IN THEORETICAL PHYSICS AND MATHEMATICS IPM   (Iran)

Author keywords

Classical Theories of Gravity; Non Commutative Geometry

Indexed keywords

EID: 33645527972     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/01/134     Document Type: Article

References (31)

1. H. Snyder, Quantized space-time 1947 Phys. Rev. 71 38
2. A. Connes, Noncommutative geometry 1994 (Academic Press)
3. A. Connes, Noncommutative Geometry 2000, [math.qa/0011193]
4. A. Connes, A short survey of noncommutative geometry 2000 J. Math. Phys. 41 3832 [hep-th/0003006]
5. J.C. Varilly, An introduction to noncommutative geometry [physics/9709045]
6. M.R. Douglas and N.A. Nekrasov, Noncommutative field theory 2002 Rev. Mod. Phys. 73 977 [hep-th/0106048]
7. N. Seiberg and E. Witten, String theory and noncommutative geometry 1999 J. High Energy Phys. JHEP09(1999)032 [hep-th/9908142]
8. T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M-theory as a matrix model: a conjecture 1997 Phys. Rev. D 55 5112 [hep-th/9610043]
9. S. Minwalla, M. Van Raamsdonk and N. Seiberg, Noncommutative perturbative dynamics 2000 J. High Energy Phys. JHEP02(2000)020 [hep-th/9912072]
10. S.M. Carroll, J.A. Harvey, V.A. Kostelecky, C.D. Lane and T. Okamoto, Noncommutative field theory and Lorentz violation 2001 Phys. Rev. Lett. 87 141601 [hep-th/0105082]
11. C.E. Carlson, C.D. Carone and R.F. Lebed, Bounding noncommutative QCD 2001 Phys. Lett. B 518 201 [hep-ph/0107291]
12. C.E. Carlson, C.D. Carone and R.F. Lebed, Supersymmetric noncommutative QED and Lorentz violation 2002 Phys. Lett. B 549 337 [hep-ph/0209077]
13. R.J. Szabo, Quantum field theory on noncommutative spaces 2003 Phys. Rep. 378 207 [hep-th/0109162]
14. M.R. Douglas and N.A. Nekrasov, Noncommutative field theory 2001 Rev. Mod. Phys. 73 977 [hep-th/0106048]
15. I. Bars, Nonperturbative effects of extreme localization in noncommutative geometry [hep-th/0109132]
16. H. Garcia-Compean, O. Obregon and C. Ramirez, Noncommutative quantum cosmology 2002 Phys. Rev. Lett. 88 161301 [hep-th/0107250]
17. G.D. Barbosa and N. Pinto-Neto, Noncommutative geometry and cosmology 2004 Phys. Rev. D 70 103512 [hep-th/0407111]
18. M.I. Beciu, Noncommutative cosmology [gr-qc/0305077]
19. U. Bleyer, V.N. Melnikov, K.A. Bronnikov and S.B. Fadeev, On black hole stability in multidimensional gravity [gr-qc/9405021]
20. U. Kasper, M. Rainer and A. Zhuk, Integrable multicomponent perfect fluid multidimensional cosmology, II. Scalar fields 1997 Gen. Rel. Grav. 29 1123 [gr-qc/9705046]
21. S. Mignemi and H.J. Schmidt, Classification of multidimensional inflationary models 1998 J. Math. Phys. 39 998 [gr-qc/9709070]
22. S. Jalalzadeh, F. Ahmadi and H.R. Sepangi, Multi-dimensional classical and quantum cosmology: exact solutions, signature transition and stabilization 2003 J. High Energy Phys. JHEP08(2003)012 [hep-th/0308067]
23. M. Pavsic, Pseudo euclidean-signature harmonic oscillator, quantum field theory and vanishing cosmological constant 1999 Phys. Lett. A 254 119 [hep-th/9812123]
24. E. Wigner, On the quantum correction for thermodynamic equilibrium 1932 Phys. Rev. 40 749
25. A.E.F. Djemai and H. Smail, On quantum mechanics on noncommutative quantum phase space 2004 Commun. Theor. Phys. 41 837-844 [hep-th/0309006]
26. E. Gozzi and M. Reuter, Quantum-deformed geometry on phase-space 1993 Mod. Phys. Lett. A 8 15
27. T. Hakioglu and A.J. Dragt, The Moyal-Lie theory of phase space quantum mechanics [quant-ph/0108081]
28. M. Przanowski and J. Tosiek, The Weyl-Wigner-Moyal formalism III. The generalized Moyal product in the curved phase space Acta Phys. Pol. B 30 (1999)
29. A.E.F. Djemai, On noncommutative classical mechanics [hep-th/0309034]
30. U. Ellwanger, The cosmological constant [hep-ph/0203252]
31. S. Jalalzadeh and H.R. Sepangi, Classical and quantum dynamics of confined test particles in brane gravity 2005 Class. Quantum Grav. 22 2035 [gr-qc/0408004]