Hyperbolic universes with a horned topology and the cosmic microwave background anisotropy

Classical and Quantum Gravity

Volumn 21, Issue 21, 2004, Pages 4901-4925

  Aurich, Ralf ^a   Lustig, Sven ^a   Steiner, Frank ^a   Then, Holger ^b  

^a UNIVERSITY OF ULM   (Germany)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8744272421     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/21/21/010     Document Type: Article

References (64)

1. Smoot G F et al 1992 Astrophys. J. Lett. 396 L1
2. Lachiéze-Rey M and Luminet J 1995 Phys. Rep. 254 135
3. Levin J 2002 Phys. Rep. 365 251
4. Bond J R, Pogosyan D and Souradeep T 1998 Class. Quantum Grav. 15 2671
5. Bond J R, Pogosyan D and Souradeep T 2000 Phys. Rev. D 62 043005 (Preprint astro-ph/9912124)
6. Bond J R, Pogosyan D and Souradeep T 2000 Phys. Rev. D 62 043006 (Preprint astro-ph/9912144)
7. Cornish N J, Spergel D and Starkman G 1998 Phys. Rev. D 57 5982
8. Aurich R 1999 Astrophys. J. 524 497
9. Cornish N J and Spergel D 2000 Phys. Rev. D 62 087304 (Preprint astro-ph/9906401)
10. Inoue K T, Tomita K and Sugiyama N 2000 Mon. Not. R. Astron. Soc. 314 L21 (Preprint astro-ph/9906304)
11. Aurich R and Steiner F 2001 Mon. Not. R. Astron. Soc. 323 1016 (Preprint astro-ph/0007264)
12. Hinshaw G et al 2003 Astrophys. J. Suppl. 148 135 (Preprint astro-ph/0302217)
13. Bennett C L et al 2003 Astrophys. J. Suppl. 148 97
14. Tegmark M, de Oliveira-Costa A and Hamilton A J S 2003 Phys. Rev. D 68 123523 (Preprint astro-ph/0302496)
15. Eriksen H K, Banday A J, Gorski K M and Lilje P B 2004 Astrophys. J. 612 633 (Preprint astro-ph/0403098)
16. Schwarz D J, Starkman G D, Huterer D and Copi C J 2004 Preprint astro-ph/0403353
17. Slosar A, Seljak U and Makarov A 2004 Phys. Rev. D 69 123003 (Preprint astro-ph/0403073)
18. Efstathiou G 2003 Mon. Not. R. Astron. Soc. 346 L26 (Preprint astro-ph/0306431)
19. Skordis C and Silk J 2004 Preprint astro-ph/0402474
20. Kamionkowski M and Loeb A 1997 Phys. Rev. D 56 4511
21. Sazonov S Y and Sunyaev R A 1999 Mon. Not. R. Astron. Soc. 310 765
22. Seto N and Sasaki M 2000 Phys. Rev. D 62 123004
23. Chandrasekhar S 1986 Mitteilungen Astron. Gesellschaft Hamburg 67 19
24. Schwarzschild K 1992 Gesammelte Werke/Collected Works vol 1, ed H H Voigt (Berlin: Springer)
25. Schwarzschild K 1900 Vierteljahrsschrift Astron. Gesellschaft 35 337
26. Schwarzschild K 1998 Class. Quantum Grav. 15 2539, translated by J M Stewart
27. Sokolov D D and Starobinskii A A 1976 Sov. Astron. 19 629
28. Picard E 1884 Bull Soc. Math. France 12 43
29. Matthies C 1995 Picards Billard: Ein Modell für Arithmetisches Quantenchaos in drei Dimensionen PhD Thesis Universität Hamburg
30. Steil G 1999 Eigenvalues of the Laplacian for Bianchi groups Emerging Applications of Number Theory ed D A Hejhal, J Friedman, M C Gutzwiller and A M Odlyzko (IMA Series No. 109) (Berlin: Springer) pp 617-41
31. Then H 2004 Arithmetic quantum chaos of Maass waveforms Number Theory, Physics and Geometry ed B Julia, P Moussa, P Cartier and P Vanhove (Berlin: Springer) at press (Preprint math-ph/0305048)
32. Levin J, Barrow J D, Bunn E F and Silk J 1997 Phys. Rev. Lett. 79 974
33. Aurich R and Steiner F 2003 Phys. Rev. D 67 123511 (Preprint astro-ph/0210021)
34. Aurich R and Steiner F 2004 Int. J. Mod. Phys. D 13 123 (Preprint astro-ph/0302264)
35. Conversi L, Melchiorri A, Mersini L and Silk J 2004 Astropart. Phys. 21 443 (Preprint astro-ph/0402529)
36. Hu W 1998 Astrophys. J. 506 485
37. Gurzadyan V G et al 2003 Int. J. Mod. Phys. D 12 1859 (Preprint astro-ph/0210021)
38. Gurzadyan V G et al 2003 Preprint astro-ph/0312305
39. Gurzadyan V G et al 2003 Nuovo Cimento B 118 1101 (Preprint astro-ph/0402399)
40. Luminet J, Weeks J R, Riazuelo A, Lehoucq R and Uzan J 2003 Nature 425 593
41. Mukhanov V F, Feldman H A and Brandenberger R H 1992 Phys. Rep. 215 203
42. Sachs R K and Wolfe A M 1967 Astrophys. J. 147 73
43. Mukhanov V F 2003 Preprint astro-ph/0303072
44. Spergel D N et al 2003 Astrophys. J. Suppl. 148 175 (Preprint astro-ph/0302209)
45. Bridle S L, Lewis A M, Weller J and Efstathiou G 2003 Mon. Not. R. Astron. Soc. 342 L72 (Preprint astro-ph/0302306)
46. Ratcliffe J G 1994 Foundations of Hyperbolic Manifolds (Graduate Texts in Mathematics vol 149) (Berlin: Springer)
47. Bennett C L et al 2003 Astrophys. J. Suppl. 148 1 (Preprint astro-ph/0302207)
48. Elstrodt J, Grunewald F and Mennicke J 1998 Groups Acting on Hyperbolic Space (Berlin: Springer)
49. Humbert G 1919 C. R. Acad. Sci. Paris 169 448
50. Maaß H 1949 Abh. Math. Semin. Univ. Hamburg 16 72
51. Selberg A 1956 J. Indian Math. Soc. (N.S.) 20 47
52. Roelcke W 1966 Math. Ann. 167 292
53. Roelcke W 1967 Math. Ann. 168 261
54. Kubota T 1973 Elementary Theory of Eisenstein Series (Tokyo: Kodansha and Halsted Press)
55. Elstrodt J, Grunewald F and Mennicke J 1985 J. Reine Angew. Math. 360 160
56. Hejhal D A 1999 On eigenfunctions of the Laplacian for Hecke triangle groups Emerging Applications of Number Theory ed D A Hejhal, J Friedman, M C Gutzwiller and A M Odlyzko (IMA Series No. 109) (Berlin: Springer) pp 291-315
57. Abramo L R and Sodre L Jr 2003 Preprint astro-ph/0312124
58. Cline J M, Crotty P and Lesgourgues J 2003 J. Cosmol. Astropart. Phys. JCAP09(2003) 10
59. Contaldi C R, Peloso M, Kofman L and Linde A 2003 J. Cosmol. Astropart. Phys. JCAP07(2003)2
60. Feng B and Zhang X 2003 Phys. Lett. B 570 145
61. Mostow G D 1973 Strong Rigidity of Locally Symmetric Spaces (Annals of Mathematics Studies no 78) (Princeton, NJ: Princeton University Press)
62. Prasad G 1973 Invent. Math. 21 255
63. Cornish N J, Spergel D N and Starkman G D 1998 Class. Quantum Grav. 15 2657
64. Cornish N J, Spergel D N, Starkman G D and Komatsu E 2004 Phys. Rev. Lett. 92 201302 (Preprint astro-ph/0310233)