On black holes and cosmological constant in noncommutative gauge theory of gravity

Journal of High Energy Physics

Volumn 2008, Issue 4, 2008, Pages

  Chaichian, M ^a   Tureanu, A ^a   Setare, M R ^b   Zet, G ^c  

^a UNIVERSITY OF HELSINKI   (Finland)

^b PAYAME NOOR UNIVERSITY   (Iran)

^c GHEORGHE ASACHI TECHNICAL UNIVERSITY OF IASI   (Romania)

Author keywords

Black holes; Classical theories of gravity; Non commutative geometry; Space time symmetries

Indexed keywords

EID: 44449125274     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/04/064     Document Type: Article

References (39)

1. G.F.B. Riemann, On the hypotheses which lie at the bases of geometry inaugural lecture (1854), Nature 8, number 183 (1854) 14 and Nature 8, number 184 (1854) 36
2. N. Seiberg and E. Witten, String theory and noncommutative geometry 1999 J. High Energy Phys. JHEP09(1999)032 [hep-th/9908142]
3. R.H. Brandenberger, String theory, space-time non-commutativity and structure formation 2007 Prog. Theor. Phys. 171 121 [hep-th/0703173]
4. S. Alexander, R. Brandenberger and J. Magueijo, Non-commutative inflation 2003 Phys. Rev. D 67 081301 [hep-th/0108190]
5. C.-S. Chu, B.R. Greene and G. Shiu, Remarks on inflation and noncommutative geometry 2001 Mod. Phys. Lett. A 16 2231 [hep-th/0011241]
6. S. Tsujikawa, R. Maartens and R. Brandenberger, Non-commutative inflation and the CMB 2003 Phys. Lett. B 574 141 [astro-ph/0308169]
7. R. Easther, B.R. Greene, W.H. Kinney and G. Shiu, Inflation as a probe of short distance physics 2001 Phys. Rev. D 64 103502 [hep-th/0104102]
8. R. Brandenberger and P.-M. Ho, Noncommutative spacetime, stringy spacetime uncertainty principle and density fluctuations 2002 Phys. Rev. D 66 023517 [hep-th/0203119]
9. P. Nicolini, A. Smailagic and E. Spallucci, Noncommutative geometry inspired Schwarzschild black hole 2006 Phys. Lett. B 632 547 [gr-qc/0510112]
10. S. Ansoldi, P. Nicolini, A. Smailagic and E. Spallucci, Noncommutative geometry inspired charged black holes 2007 Phys. Lett. B 645 261 [gr-qc/0612035]
11. T.G. Rizzo, Noncommutative inspired black holes in extra dimensions 2006 J. High Energy Phys. JHEP09(2006)021 [hep-ph/0606051]
12. M. Chaichian, A. Tureanu and G. Zet, Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity 2008 Phys. Lett. B 660 573 [0710.2075]
13. M. Chaichian, P.P. Kulish, K. Nishijima and A. Tureanu, On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT 2004 Phys. Lett. B 604 98 [hep-th/0408069]
14. M. Chaichian, P. Presnajder and A. Tureanu, New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications 2005 Phys. Rev. Lett. 94 151602 [hep-th/0409096]
15. M. Chaichian, A. Tureanu and G. Zet, Twist as a symmetry principle and the noncommutative gauge theory formulation 2007 Phys. Lett. B 651 319 [hep-th/0607179]
16. A.H. Chamseddine, Deforming Einstein's gravity 2001 Phys. Lett. B 504 33 [hep-th/0009153]
17. S. Das, P. Majumdar and R.K. Bhaduri, General logarithmic corrections to black hole entropy 2002 Class. Quantum Grav. 19 2355 [hep-th/0111001]
18. J.E. Lidsey, S. Nojiri, S.D. Odintsov and S. Ogushi, The AdS/CFT correspondence and logarithmic corrections to braneworld cosmology and the Cardy-Verlinde formula 2002 Phys. Lett. B 544 337 [hep-th/0207009]
19. M.R. Setare, Logarithmic correction to the brane equation in topological Reissner-Nordstróm de Sitter space 2003 Phys. Lett. B 573 173 [hep-th/0311106]
20. M.R. Setare, Logarithmic correction to the Cardy-Verlinde formula in Achcarro-Ortiz black hole 2004 Eur. Phys. J. C 33 555 [hep-th/0309134]
21. M. Parikh and F. Wilczek, An action for black hole membranes 1998 Phys. Rev. D 58 064011 [gr-qc/9712077]
22. M.R. Setare and E.C. Vagenas, Self-gravitational corrections to the Cardy-Verlinde formula of Achcarro-Ortiz black hole 2004 Phys. Lett. B 584 127 [hep-th/0309092]
23. 5 bulk 2005 Int. J. Mod. Phys. A 20 7219 [hep-th/0405186]
24. M.R. Setare, Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle 2004 Phys. Rev. D 70 087501 [hep-th/0410044]
25. 5 black holes 2006 Int. J. Mod. Phys. A 21 1325 [hep-th/0504179]
26. G. Zet et al., A computer aided study of de Sitter gauge theory of gravitation 2006 Math. Comput. Mod. 43 458
27. G. Zet, C.D. Oprisan and S. Babeti, Solutions without singularities in gauge theory of gravitation 2004 Int. J. Mod. Phys. C 15 1031 [gr-qc/0403104]
28. M.S. Volkov and D.V. Gal'tsov, Gravity non-abelian solitons and black holes with Yang-Mills fields 1999 Phys. Rep. 313 1
29. G. Zet, Self-duality equations for spherically symmetric SU(2) gauge fields, 2002 Eur. Phys. J. A 15 405 [hep-th/0201212]
30. L. Landau and F. Lifchitz, Théorie du champ, Mir, Moscow Russia (1966)
31. N. Straumann, General relativity and relativistic astrophysics Springer Verlag, U.S.A. (1984)
32. G. Zet, V. Manta and S. Babeti, De Sitter gauge theory of gravitation 2003 Int. J. Mod. Phys. C 14 41
33. L. Jiang, Dirac monopole in non-commutative space [hep-th/0001073]
34. I.B. Khriplovich and G.G. Kirilin, Quantum long-range interactions in general relativity 2004 Sov. Phys. JETP 98 1063 [gr-qc/0402018]
35. G.G. Kirilin, Quantum corrections to the Schwarzschild metric and reparametrization transformations 2007 Phys. Rev. D 75 108501 [gr-qc/0601020]
36. S. Minwalla, M. Van Raamsdonk and N. Seiberg, Noncommutative perturbative dynamics 2000 J. High Energy Phys. JHEP02(2000)020 [hep-th/9912072]
37. 4 and (2,0) superconformal six dimensional theory 1998 Comm. Math. Phys. 198 689 [hep-th/9802068]
38. D.J. Gross and N.A. Nekrasov, Monopoles and strings in noncommutative gauge theory 2000 J. High Energy Phys. JHEP07(2000)034 [hep-th/0005204]
39. N.A. Nekrasov, Noncommutative instantons revisited 2003 Comm. Math. Phys. 241 143 [hep-th/0010017]