Scalar Casimir effect on a D-dimensional Einstein static universe

Classical and Quantum Gravity

Volumn 25, Issue 16, 2008, Pages

  Herdeiro, Carlos A R ^a   Ribeiro, Raquel H ^a   Sampaio, Marco ^b  

^a UNIVERSITY OF PORTO   (Portugal)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 56349133228     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/25/16/165010     Document Type: Article

References (26)

1. Casimir H B G 1948 On the attraction between two perfectly conducting plates Proc. Kon. Nederl. Akad. Wet. 51 793
2. Lamoreaux S K 1997 Demonstration of the Casimir force in the 0.6 to 6 micrometers range Phys. Rev. Lett. 78 5
3. Bordag M, Mohideen U and Mostepanenko V M 2001 New developments in the Casimir effect Phys. Rep. 353 1 (Preprint quant-ph/0106045)
4. Leonhardt U and Philbin T G 2007 Quantum levitation by left-handed metamaterials New J. Phys. 9 254
5. Riess A G et al (Supernova Search Team Collaboration) 1998 Observational evidence from supernovae for an accelerating universe and a cosmological constant Astron. J. 116 1009 (Preprint astro-ph/9805201)
6. Perlmutter S et al (Supernova Cosmology Project Collaboration) 1999 Measurements of omega and lambda from 42 high-redshift supernovae Astrophys. J. 517 565 (Preprint astro-ph/9812133)
7. Zeldovich Y B and Starobinsky A A 1984 Quantum creation of a universe in a nontrivial topology Sov. Astron. Lett. 10 135
8. Herdeiro C A R and Sampaio M 2006 Casimir energy and a cosmological bounce Class. Quantum Grav. 23 473 (Preprint hep-th/0510052)
9. Appelquist T and Chodos A 1983 The quantum dynamics Of Kaluza-Klein theories Phys. Rev. D 28 772
10. Milton K A 2001 The Casimir Effect: Physical Manifestations of Zero-Point Energy (Singapore: World Scientific)
11. Bender C M and Milton K A 1994 Casimir effect for a D-dimensional sphere Phys. Rev. D 50 6547 (Preprint hep-th/9406048)
12. Dowker J S and Critchley R 1977 Vacuum stress tensor in an Einstein universe. Finite temperature effects Phys. Rev. D 15 1484
13. zcan M 2006 Casimir energy density for spherical universes in n-dimensional spacetime Class. Quantum Grav. 23 5531
14. Ford L H 1976 Quantum vacuum energy in a closed universe Phys. Rev. D 14 3304
15. Caillol J 2004 Random walks on hyperspheres of arbitrary dimensions J. Phys. A: Math. Gen. 37 3077
16. Nesterenko V V and Pirozhenko I G 1997 Justification of the zeta function renormalization in rigid string model J. Math. Phys. 38 6265 (Preprint hep-th/9703097)
17. Garcia A A and Carlip S 2007 N-dimensional generalizations of the Friedmann-Robertson-Walker cosmology Phys. Lett. B 645 101
18. Birrel N D and Davies P C W 1982 Quantum Field Theory in Curved Space (Cambridge: Cambridge University Press) section 6.2
19. Herdeiro C, Ribeiro R H and Sampaio M work in progress
20. Burgess C P 2007 Introduction to effective field theory Ann. Rev. Nucl. Part. Sci. 57 329 (Preprint hep-th/0701053)
21. Saharian A A 2007 The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect Preprint 0708.1187
22. Christensen S 1976 Vacuum expectation value of the stress tensor in an arbitrary curved background: the covariant point separation method Phys. Rev. D 14 2490
23. Wen Z and Avery J 1985 Some properties of hyperspherical harmonics J. Math. Phys. 26 396
24. Rainville E D 1960 Special Functions (New York: MacMillan)
25. Gauntlett J P, Gutowski J B, Hull C M, Pakis S and Reall H S 2003 All supersymmetric solutions of minimal supergravity in five dimensions Class. Quantum Grav. 20 4587 (Preprint hep-th/0209114)
26. Edmonds A R 1974 Angular Momentum in Quantum Mechanics (Princeton, NJ: Princeton University Press) chapter 4 (third printing)