Journal of Mathematical Physics
Feedback | Help | Exit
Search:
   
 
 
 
Previous Article
Multidimensional hierarchies of (1 + 1)-dimensional integrable partial differential equations. Nonsymmetric [partial-derivative]-bar-dressing
In this paper the -problem has been constructed for a class of multidimensional integrable partial differential equations (PDE) which can be classified as the multidimensional hierarchies of the (1 + ...
Next Article
Signs of the cusps in binary lenses
The cusps of the caustics of any gravitational lens model can be classified into positive and negative ones. This distinction lies on the parity of the images involved in the creation/destruction of p...

Cyclical behavior in early universe cosmologies

J. Math. Phys. 41, 6277 (2000); doi:10.1063/1.1286878

Issue Date: September 2000

You are not logged in to this journal. Log in

Andrew P. Billyard
Department of Physics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada

Alan A. Coley
Departments of Mathematics and Statistics and Physics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada

James E. Lidsey
Astronomy Unit, School of Mathematical Sciences, Queen Mary & Westfield, Mile End Road, London, E1 4NS, United Kingdom
This paper studies early universe cosmologies derived from a scalar–tensor action containing cosmological constant terms and massless fields. The governing equations can be written as a dynamical system which contains no past or future asymptotic equilibrium states (i.e., no sources nor sinks). This leads to dynamics with very interesting mathematical behavior such as the existence of heteroclinic cycles. The corresponding cosmologies have novel characteristics, including cyclical and bouncing behavior possibly indicating chaos. The connection between these early universe cosmologies and those derived from the low-energy string effective action is discussed. ©2000 American Institute of Physics.
History: Received 4 January 2000; accepted 16 May 2000
Permalink: http://link.aip.org/link/?JMAPAQ/41/6277/1
BUY THIS ARTICLE   (US$24)
Download PDF (159 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 98.80.Cq
    Stellar systems; interstellar medium; galactic and extragalactic objects and systems; the Universe Cosmology Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)
  • 98.80.Bp
    Stellar systems; interstellar medium; galactic and extragalactic objects and systems; the Universe Cosmology Origin and formation of the Universe
  • 95.30.Cq
    Fundamental astronomy and astrophysics; instrumentation, techniques, and astronomical observations Fundamental aspects of astrophysics Elementary particle processes
  • 05.45.-a
    Statistical physics, thermodynamics, and nonlinear dynamical systems Nonlinear dynamics and nonlinear dynamical systems
  • 11.25.-w
    General theory of fields and particles Theory of fundamental strings
  • 02.10.Sp
    Mathematical methods in physics Logic, set theory, and algebra Linear and multilinear algebra; matrix theory (finite and infinite)
  • YEAR: 2000

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (19)
View in Separate Window/Tab
For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory (Cambridge University Press, Cambridge, 1987).
  2. J. Polchinski, String Theory (Cambridge University Press, Cambridge, 1998).
  3. A. P. Billyard, A. A. Coley, and J. E. Lidsey, Phys. Rev. D 59, 123505 (1999).
  4. A. P. Billyard, A. A. Coley, and J. E. Lidsey, J. Math. Phys. 40, 5092 (1999).
  5. A. P. Billyard, Ph.D. thesis, 1999.
  6. J. Wainwright and G. F. R. Ellis, Dynamical Systems in Cosmology (Cambridge University Press, Cambridge, 1997).
  7. J. E. Lidsey, D. Wands, and E. J. Copeland, hep-th/9909061.
  8. D. Hobill, A. Burd and A. A. Coley, Deterministic Chaos in General Relativity (Plenum, New York, 1994).
  9. J. D. Barrow and M. P. Dabrowski, Phys. Rev. D 57, 7204 (1998).
  10. V. G. LeBlanc, D. Kerr, and J. Wainwright, Class. Quantum Grav. 12, 513 (1995);
    11. V. G. LeBlanc, 14, 2281 (1997);
    15, 1607 (1998).
  11. V. A. Belinskii and I. M. Khalatnikov, Sov. Phys. JETP 36, 591 (1973).
  12. J. D. Barrow and J. Levin, Phys. Rev. Lett. 80, 656 (1998).
  13. A. A. Coley, J. Ibañez, and R. J. van den Hoogen, J. Math. Phys. 38, 5256 (1997);
    14. A. P. Billyard, A. A. Coley, and R. J. van den Hoogen, Phys. Rev. D 58, 123501 (1998).
  14. H. Lu and C. N. Pope, Nucl. Phys. B 465, 127 (1996).
  15. E. Witten, Nucl. Phys. B 443, 85 (1995).
  16. G. A. Diamandis, B. C. Georgalas, N. E. Mavromatos, and E. Papantonopoulos, hep-th/9903045.
  17. K. Yamamoto, M. Sasaki, and T. Tanaka, Astrophys. J. 455, 412 (1995).
  18. C. N. Lockhart, B. Misra, and I. Prigogine, Phys. Rev. D 15, 921 (1982).
  19. N. J. Cornish, D. N. Spergel, and G. D. Starkman, Phys. Rev. Lett. 77, 215 (1996).

CITING ARTICLES
For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.


Copyright © American Institute of Physics