Black hole production in particle collisions and higher curvature gravity

Physical Review D

Volumn 70, Issue 4 A, 2004, Pages

  Rychkov, Vyacheslav S ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; GRAVITY; MATHEMATICAL ANALYSIS; MOTION; PARTICULATE MATTER; QUANTUM MECHANICS; SPACE; SURFACE PROPERTY; THEORETICAL MODEL; THEORETICAL STUDY;

EID: 42749103912     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.044003     Document Type: Article

References (59)

1. N. Arkani-Hamed, S. Dimopoulos, and G.R. Dvali, Phys. Lett. B 429, 263 (1998);
2. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G.R. Dvali, Phys. Lett. B ibid. 436, 257 (1998).
3. DO Collaboration, V.M. Abazov et al., Phys. Rev. Lett. 90, 251802 (2003).
4. Particle Data Group Collaboration, K. Hagiwara et al., Phys. Rev. D 66, 010001 (2002).
5. M. Cavaglia, Int. J. Mod. Phys. A 18, 1843 (2003);
6. G. Lands-berg, "Black holes at future colliders and beyond: A review," in Proceedings of SUSY 2002 Conference, DESY Hamburg;
7. P. Kami, "Black holes in theories with large extra dimensions: A review," hep-ph/0402168.
8. S. Dimopoulos and G. Landsberg, Phys. Rev. Lett. 87, 161602 (2001);
9. S.B. Giddings and S. Thomas, Phys. Rev. D 65, 056010 (2002).
10. G. Veneziano, "Quantum string gravity near the Planck scale," in Proceedings of the 5th Seminar on Quantum Gravity, Moscow, 1990, edited by M.A. Markov, V.A. Berezin, and V.P. Frolov (World Scientific, Singapore, 1991);
11. D. Amati, M. Cia-faloni, and G. Veneziano, Phys. Lett. B 216, 41 (1989);
12. Nucl. Phys. B403, 707 (1993);
13. M. Fabbrichesi, R. Pettorino, G. Veneziano, and G.A. Vilkovisky, Nucl. Phys.ibid. B419, 147 (1994).
14. T. Banks and W. Fischler, "A model for high energy scattering in quantum gravity," hep-th/9906038.
15. D.M. Eardley and S.B. Giddings, Phys. Rev. D 66, 044011 (2002) .
16. M.B. Voloshin, Phys. Lett. B 518, 137 (2001);
17. 524, 376 (2002).
18. S.N. Solodukhin, Phys. Lett. B 533, 153 (2002);
19. K. Krasnov, Class. Quantum Grav. 19, 3999 (2002);
20. S.D.H. Hsu, Phys. Leu. B 555, 92 (2003);
21. A. Jevicki and J. Thaler, Phys. Rev. D 66, 024041 (2002).
22. D. Lovelock, J. Math. Phys. 12, 498 (1971).
23. R. Penrose, as discussed in P. D. D'Eath and P.N. Payne, Phys. Rev. D 46, 658 (1992).
24. PC. Aichelburg and R.U. Sexl, Gen. Relativ. Gravit. 2, 303 (1971). '
25. P.D. D'Eath, Phys. Rev. D 18, 990 (1978).
26. T. Dray and G. 't Hooft, Nucl. Phys. B253, 173 (1985).
27. S.W. Hawking and G.F.R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge, England, 1973).
28. H. Yoshino and Y. Nambu, Phys. Rev. D 67, 024009 (2003).
29. S. Deser, Ann. Phys.(Leipzig) 9, 299 (2000).
30. M.B. Green, J.H. Schwarz, and E. Witten, Superstring Theory. Vols. 1,2 (Cambridge University Press, Cambridge, England, 1987);
31. J. Polchinski, String Theory. Vols. 1,2 (Cambridge University Press, Cambridge, England, 1998).
32. C. Rovelli, Living Rev. Relativ. 1, 1 (1998);
33. M. Gaul and C., Rovelli, Lect. Notes Phys. 541, 277 (2000).
34. N.D. Birrell and P.C. Davies, Quantum Fields In Curved Space (Cambridge University Press, Cambridge, England, 1982).
35. F.A.E. Pirani, Proc. R. Soc. London, A252, 96 (1959).
36. V.B. Berestetsky, E.M. Lifshitz, and L.P. Pitaevsky, Quantum Electrodynamics (Pergamon, Oxford, 1982).
37. O.V. Kancheli, "Parton picture of inelastic collisions at transplanckian energies," hep-ph/0208021.
38. R.C. Myers, "Black holes in higher curvature gravity," in Black Holes, Gravitational Radiation and the Universe, Essays in Honor of C.V. Vtshveshwara, edited by B.R. Iyer, B. Bhawal, and C.V. Vishveshwara (Kluwer Academic, Dordrecht, 1998), p.121.
39. N. Deruelle and J. Madore, "On the quasi-linearity of the Einstein-'Gauss-Bonnet' gravity field equations," in Proceedings of the Conference in Honor of Yvonne Choquet-Bruhat, Cargese, 2002.
40. A. Barrau, J. Grain, and S.O. Alexeyev, "Gauss-Bonnet black holes at the LHC: Beyond the dimensionality of space," hep-ph/0311238.
41. T. Eguchi, P.B. Gilkey, and A.J. Hanson, Phys. Rep. 66, 213 (1980);
42. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Interscience, New York, 1969), Vol. 2, p. 318.
43. C.C. Briggs, "A general expression for the quartic Lovelock tensor," gr-qc/9703074;
44. F. Miiller-Hoissen, Phys. Lett. 163B, 106 (1985).
45. C. Lanczos, Z. Phys. 73, 147 (1932);
46. Ann. Math. 39, 842 (1938).
47. B. Zwiebach, Phys. Lett. 156B, 315 (1985).
48. K.S. Stelle, Phys. Rev. D 16, 953 (1977).
49. R.R. Metsaev and A.A. Tseytlin, Phys. Lett. B 191, 354 (1987).
50. S. Deser and A.N. Redlich, Phys. Lett. B 176, 350 (1986);
51. Erratum ibid. 186, 461(E) (1987).
52. CP. Burgess, "Quantum gravity in everyday life: General relativity as an effective field theory," gr-qc/0311082.
53. J.B. Griffiths, Colliding Plane Waves In General Relativity' (Oxford University Press, Oxford, 1991).
54. Y. Nutku and .Ö Sarioǧlu, Phys. Lett. A 173, 270 (1993).
55. R. Courant and D. Hilbert, Methods of Mathematical Physics (Interscience, New York, 1962), Vol. 2.
56. A.M. Ignatov and V.P. Poponin, "Pulse interaction in nonlinear vacuum electrodynamics," hep-th/0008021.
57. P.D. Lax, Hyperbolic Systems of, Conservation Laws and the Mathematical Theory of Shock Waves (SIAM, Philadelphia, 1973).
58. O.I. Mokhov and Y. Nutku, Lett. Math. Phys. 32, 121 (1994).
59. M. Arik, F. Neyzi, Y. Nutku, P.J. Olver, and J.M. Verosky, J. Math. Phys. 30, 1338 (1989).