Two gravitational shock waves on the AdS 3 brane

Journal of High Energy Physics

Volumn 2007, Issue 10, 2007, Pages

  Anber, Mohamed ^a   Sorbo, Lorenzo ^a  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

AdS CFT correspondence; Field theories in lower dimensions; Models of quantum gravity

Indexed keywords

EID: 84856371206     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/10/072     Document Type: Article

References (38)

1. R. Emparan, G.T. Horowitz and R.C. Myers, Exact description of black holes on branes. II: comparison with BTZ black holes and black strings 2000 J. High Energy Phys. JHEP01(2000)021 [hep-th/9912135]
2. L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension 1999 Phys. Rev. Lett. 83 3370 [hep-ph/9905221]
3. L. Randall and R. Sundrum, An alternative to compactification 1999 Phys. Rev. Lett. 83 4690 [hep-th/9906064]
4. A. Karch and L. Randall, Locally localized gravity 2001 J. High Energy Phys. JHEP05(2001)008 [hep-th/0011156]
5. N. Kaloper and L. Sorbo, Locally localized gravity: the inside story 2005 J. High Energy Phys. JHEP08(2005)070 [hep-th/0507191]
6. T. Dray and G. 't Hooft, The gravitational shock wave of a massless particle 1985 Nucl. Phys. B 253 173
7. P.C. Aichelburg and R.U. Sexl, On the gravitational field of a massless particle 1971 Gen. Rel. Grav. 2 303
8. A. Chamblin and A. Karch, Hawking and Page on the brane 2005 Phys. Rev. D 72 066011 [hep-th/0412017]
9. R. Emparan, G.T. Horowitz and R.C. Myers, Exact description of black holes on branes 2000 J. High Energy Phys. JHEP01(2000)007 [hep-th/9911043]
10. J.F. Plebanski and M. Demianski, Rotating, charged and uniformly accelerating mass in general relativity 1976 Ann. Phys. (NY) 98 98
11. S.S. Gubser, AdS/CFT and gravity 2001 Phys. Rev. D 63 084017 [hep-th/9912001]
12. M.J. Duff and J.T. Liu, Complementarity of the Maldacena and Randall-Sundrum pictures 2001 Class. Quantum Grav. 18 3207 [2000 Phys. Rev. Lett. 85 2052 ] [hep-th/0003237]
13. M. Porrati, Mass and gauge invariance. IV: holography for the Karch-Randall model 2002 Phys. Rev. D 65 044015 [hep-th/0109017]
14. M. Porrati, Higgs phenomenon for 4-D gravity in anti de Sitter space 2002 J. High Energy Phys. JHEP04(2002)058 [hep-th/0112166]
15. M. Porrati, Higgs phenomenon for the graviton in AdS space 2003 Mod. Phys. Lett. A 18 1793 [hep-th/0306253]
16. M.J. Duff, J.T. Liu and H. Sati, Complementarity of the Maldacena and Karch-Randall pictures 2004 Phys. Rev. D 69 085012 [hep-th/0207003]
17. J.S. Schwinger, Gauge invariance and mass. 2 1962 Phys. Rev. 128 2425
18. K. Sfetsos, On gravitational shock waves in curved space-times 1995 Nucl. Phys. B 436 721 [hep-th/9408169]
19. R.-G. Cai and J.B. Griffiths, Null particle solutions in three-dimensional (anti-)de Sitter spaces 1999 J. Math. Phys. 40 3465 [gr-qc/9905011]
20. N. Kaloper, Bent domain walls as braneworlds 1999 Phys. Rev. D 60 123506 [hep-th/9905210]
21. M. Abramowitz and I.A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables Dover Publications, (Dover, New York) U.S.A. (1965)
22. , Bateman Manuscript Project: higher transcendental functions A Erdelyi ed., McGraw-Hill, New York U.S.A. (1953)
23. V. Ferrari, P. Pendenza and G. Veneziano, Beamlike gravitational waves and their geodesics 1988 Gen. Rel. Grav. 20 1185
24. C. Barrabes, P.A. Hogan and W. Israel, The Aichelburg-Sexl boost of domain-walls and cosmic strings 2002 Phys. Rev. D 66 025032 [gr-qc/0206021]
25. R. Emparan, Exact gravitational shockwaves and Planckian scattering on branes 2001 Phys. Rev. D 64 024025 [hep-th/0104009]
26. T. Tanaka, Classical black hole evaporation in Randall-Sundrum infinite braneworld 2003 Prog. Theor. Phys. Suppl. 148 307 [gr-qc/0203082]
27. R. Emparan, A. Fabbri and N. Kaloper, Quantum black holes as holograms in AdS braneworlds 2002 J. High Energy Phys. JHEP08(2002)043 [hep-th/0206155]
28. C. Charmousis and R. Gregory, Axisymmetric metrics in arbitrary dimensions 2004 Class. Quantum Grav. 21 527 [gr-qc/0306069]
29. J. Podolsky, Accelerating black holes in Anti-de Sitter universe 2002 Czech. J. Phys. 52 1 [gr-qc/0202033]
30. O.J.C. Dias and J.P.S. Lemos, Pair of accelerated black holes in Anti-de Sitter background: the AdS C-metric 2003 Phys. Rev. D 67 064001 [hep-th/0210065]
31. P. Krtous, Accelerated black holes in an Anti-de Sitter universe 2005 Phys. Rev. D 72 124019 [gr-qc/0510101]
32. M. Hotta and M. Tanaka, Shock wave geometry with nonvanishing cosmological constant 1993 Class. Quantum Grav. 10 307
33. J. Podolsky and J.B. Griffiths, Impulsive gravitational waves generated by null particles in de Sitter and Anti-de Sitter backgrounds 1997 Phys. Rev. D 56 4756
34. M. Bãados, C. Teitelboim and J. Zanelli, The black hole in three-dimensional space-time 1992 Phys. Rev. Lett. 69 1849 [hep-th/9204099]
35. A.R. Steif, The quantum stress tensor in the three-dimensional black hole 1994 Phys. Rev. D 49 R585 [gr-qc/9308032]
36. G. Lifschytz and M. Ortiz, Scalar field quantization on the (2+1)-dimensional black hole background 1994 Phys. Rev. D 49 1929 [gr-qc/9310008]
37. K. Shiraishi and T. Maki, Quantum fluctuation of stress tensor and black holes in three-dimensions 1994 Phys. Rev. D 49 5286
38. R. Bousso and L. Randall, Holographic domains of Anti-de Sitter space 2002 J. High Energy Phys. JHEP04(2002)057 [hep-th/0112080]