Casimir densities for two concentric spherical shells in the global monopole space-time

International Journal of Modern Physics A

Volumn 19, Issue 25, 2004, Pages 4301-4321

  Saharian, A A ^a   Setare, M R ^b  

^a YEREVAN STATE UNIVERSITY   (Armenia)

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

Author keywords

Casimir densities; Global monopole; Quantum vacuum effect; Robin boundary condition; Spherical shell

Indexed keywords

ARTICLE; BEHAVIOR; DENSITY; ENERGY; EVALUATION; GEOMETRY; GRAVITY; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MECHANICAL STRESS; PARAMETER; QUANTUM MECHANICS; SOLID; SPACE; TIME; VACUUM;

EID: 8744220542     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X04019378     Document Type: Article

References (47)

1. H. B. G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948).
2. V. M. Mostepanenko and N. N. Trunov, The Casimir Effect and its Applications (Clarendon, Oxford, 1997).
3. G. Plunien, B. Muller and W. Greiner, Phys. Rep. 134, 87 (1986).
4. S. K. Lamoreaux, Am. J. Phys. 67, 850 (1999).
5. M. Bordag (ed.), The Casimir Effect. 50 Years Later (World Scientific, Singapore, 1999).
6. M. Bordag, U. Mohidden and V. M. Mostepanenko, Phys. Rep. 353, 1 (2001).
7. K. Kirsten, Spectral Functions in Mathematics and Physics (CRC Press, Boca Raton, 2001).
8. M. Bordag (ed.), Proc. Fifth Workshop on Quantum Field Theory under the Influence of External Conditions - Int. J. Mod. Phys., A17(6&7) (2002).
9. K. A. Milton, The Casimir Effect: Physical Manifestation of Zero-Point Energy (World Scientific, Singapore, 2002).
10. N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, 1982).
11. A. A. Grib, S. G. Mamayev and V. M. Mostepanenko, Vacuum Quantum Effects in Strong Fields (St. Petersburg, 1994).
12. A. A. Saharian and M. R. Setare, Class. Quantum Grav. 20, 3765 (2003).
13. A. Vilenkin and E. P. S. Shellard, Cosmic S, Nostrings and Other Topological Defects (Cambridge University Press, Cambridge, 1994).
14. T. W. B. Kibble, J. Phys. A9, 1387 (1976).
15. D. D. Sokolov and A. A. Starobinsky, Dokl. Akad. Nauk. USSR. 234, 1043 (1977).
16. M. Barriola and A. Vilenkin, Phys. Rev. Lett. 63, 341 (1989).
17. W. A. Hiscock, Class. Quantum Grav. 7, L235 (1990).
18. F. D. Mazzitelli and C. O. Lousto, Phys. Rev. D43, 468 (1991).
19. E. R. Bezerra de Mello, V. B. Bezerra and N. R. Khusnutdinov, Phys. Rev. D60, 063506 (1999).
20. E. R. Bezerra de Mello, J. Math. Phys. 43, 1018 (2002).
21. F. C. Carvalho and E. R. Bezerra de Mello, Class. Quantum Grav. 18, 1637 (2001); ibid. 18, 5455 (2001).
22. F. C. Carvalho and E. R. Bezerra de Mello, Class. Quantum Grav. 18, 1637 (2001); ibid. 18, 5455 (2001).
23. M. Bordag, K. Kirsten and S. Dowker, Commun. Math. Phys. 182, 371 (1996).
24. E. R. Bezerra de Mello, V. B. Bezerra and N. R. Khusnutdinov, J. Math. Phys. 42, 562 (2001).
25. V. M. Mostepanenko and N. N. Trunov, Sov. J. Nucl. Phys. 42, 812 (1985).
26. S. L. Lebedev, Yad. Fiz. 64, 1413 (2001) [Phys. Atom. Nuclei 64, 1337 (2001)].
27. S. L. Lebedev, Yad. Fiz. 64, 1413 (2001) [Phys. Atom. Nuclei 64, 1337 (2001)].
28. S. N. Solodukhin, Phys. Rev. D63, 044002 (2001).
29. J. Ambjørn and S. Wolfram, Ann. Phys. (N. Y.) 147, 33 (1983).
30. I. G. Moss, Class. Quantum Grav. 6, 759 (1989).
31. G. Esposito and A. Yu. Kamenshchik, Class. Quantum Grav. 12, 2715 (1995).
32. G. Esposito, A. Yu. Kamenshchik and G. Polifrone, Euclidean Quantum Gravity on Manifolds with Boundary (Kluwer, Dordrecht, 1997).
33. T. Ghergetta and A. Pomarol, Nucl. Phys. B586, 141 (2000).
34. A. Romeo and A. A. Saharian, J. Phys. A35, 1297 (2002).
35. A. A. Saharian, Phys. Rev. D63, 125007 (2001).
36. A. Romeo and A. A. Saharian, Phys. Rev. D63, 105019 (2001).
37. A. A. Saharian, Class. Quantum Grav. 19, 5039 (2002).
38. S. A. Fulling, J. Phys. A36, 6857 (2003).
39. R. M. Avagyan, A. A. Saharian and A. H. Yeranyan, Phys. Rev. D66, 085023 (2002).
40. A. A. Saharian, Izv. Akad. Nauk Arm. SSR. Mat. 22, 166 (1987) [Sov. J. Contemp. Math. Anal. 22, 70 (1987)]; Ph.D. thesis, Yerevan, Armenia, 1987 (in Russian).
41. A. A. Saharian, Izv. Akad. Nauk Arm. SSR. Mat. 22, 166 (1987) [Sov. J. Contemp. Math. Anal. 22, 70 (1987)]; Ph.D. thesis, Yerevan, Armenia, 1987 (in Russian).
42. A. A. Saharian, Izv. Akad. Nauk Arm. SSR. Mat. 22, 166 (1987) [Sov. J. Contemp. Math. Anal. 22, 70 (1987)]; Ph.D. thesis, Yerevan, Armenia, 1987 (in Russian).
43. A. A. Saharian, The generalized Abel-Plana, formula. Applications to Bessel functions and Casimir effect, Report No. IC/2000/14, hep-th/0002239.
44. A. Erdélyi et al., Higher Transcendental Functions, Vol. 2 (McGraw-Hill, New York, 1953).
45. A. P. Prudnikov, Yu. A. Brychkov and O. I. Marichev, Integrals and Series, Vol. 2 (Gordon and Breach, New York, 1986).
46. M. Abramowitz and I. A. Stegun (eds.), Handbook of Mathematical Functions (Dover, New York, 1972).
47. H. H. Matevosyan and A. A. Saharian, Casimir effect for massive scalar field under Robin boundary conditions, (to be published).