Long-range effects of cosmic string structure

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 53, Issue 12, 1996, Pages 6829-6841

  Allen, Bruce ^a   Kay, Bernard S ^b   Ottewill, Adrian C ^c  

^a UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

^b UNIVERSITY OF YORK   (United Kingdom)

^c UNIVERSITY COLLEGE DUBLIN   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000464954     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.53.6829     Document Type: Article

References (14)

1. E. Witten, Nucl. Phys. B249, 557 (1985).
2. A.G. Smith, in Symposium on the Formation and Evolution of Cosmic Strings, edited by G.W. Gibbons, S.W. Hawking, and T. Vachaspati (Cambridge University Press, Cambridge, England, 1989). Note that Gaussian units are used in this reference whereas we are using SI units.
3. B. Linet, Phys. Rev. D 33, 1833 (1986).
4. B. Allen and A.C. Ottewill, Phys. Rev. D 42, 2669 (1990).
5. B.S. Kay and U.M. Studer, Commun. Math. Phys. 139, 103 (1991).
6. Omitted end note.
7. R.M. Wald, Commun. Math. Phys. 70, 221 (1979).
8. See, for example, the review article by J.S. Dowker in Ref. 2.
9. Note that only the leading asymptotic form for (formula presented) (x) for the “flower pot” was given in Ref. 4 . The next term which is important here was given in B. Allen, J.G. McLaughlin and A.C. Ottewill, Phys. Rev. D 45, 4486 (1992).
10. B.S. Kay, Phys. Rev. D 20, 3052 (1979).
11. M.R. Brown and A.C. Ottewill, Phys. Rev. D 34, 1776 (1986).
12. B.S. Kay and C.J. Fewster, “When Can A Small Object Have a Big Effect at Large Scales?" report (in preparation).
13. S. Albeverio, F. Gesztesy, R. Hoegh-Krohn, and H. Holden, Solvable Models in Quantum Mechanics (Springer-Verlag, New York, 1988).
14. I.S. Gradsteyn and I.M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1980).