Abstract
The early time behaviour of brane-world models is analysed in the presence of anisotropic stresses. It is shown that that the initial singularity cannot be isotropic, unless there is also an isotropic fluid stiffer than radiation present. Also, a magnetic Bianchi type I brane-world is analysed in detail. It is known that the Einstein equations for the magnetic Bianchi type I models are in general oscillatory and are believed to be chaotic, but in the brane-world model this chaotic behaviour does not seem to be possible.
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References
Barrow, J.D.: 1997, Phys. Rev. D 55, 7451.
Barrow, J.D.: 1981, Phys. Rev. Lett. 46, 963.
Barrow, J.D.: 1982, Phys. Reports 85, 1.
Barrow, J.D. and Hervik, S.: 2002, Class. Quantum Grav. 19, 155.
Barrow, J.D. and Hervik, S.: 2002, 19, 5173. Class. Quantum Grav.
Barrow, J.D. and Levin, J. Phys. Rev. Lett. 80, 656.
Barrow, J.D. and Maartens, R.: 1998, Phys. Rev. D 59, 043502.
Barrow, J.D. and Sonoda, D.H.: 1986, Phys. Reports 139, 1.
Belinsky, V.A., Khalatnikov, I.M. and Lifshitz, E.M.: 1970, Adv. Phys. 19, 525.
Binètruy, P., Deffayet, C. and Langlois, D.: 2000, Nucl. Phys. B565, 269.
Bruni, M. and Dunsby, P.K.S.: hep-th/0207189.
Campos, A. and Sopuerta, C.F.: 2001, Phys. Rev. D 63, 104012.
Chernoff, D. and Barrow, J.D.: 1983, Phys. Rev. Lett. 50, 134.
Coley, A.: 2002a, Phys. Rev. D66, 023512.
Coley, A.: 2002b, Class. Quant. Grav. 19, L45.
Damour, T., Henneaux, M., Julia, B. and Nicolai, H.: 2001, Phys. Lett. B 509, 323.
Damour, T. and Henneaux, M.: 2001, Phys. Rev. Lett. 86, 4749‐4752.
Demaret, J., Henneaux, M. and Spindel, P.: 1985, Phys. Lett. B 164, 27.
Deruelle, N.: talk held at JENAM 2002-VFC, Porto, Portugal.
Grøn, Ø. and Hervik, S.: 2001, Class. Quantum Grav. 18, 601.
Grøn, Ø. and Hervik, S. gr-qc/0205026 to appear in Int. J. Theo. Phys. Group Th. Nonlin. Opt.
Hewitt, C.G. and Wainwright, J.: 1997, in: J. Wainwright and G.F.R. Ellis (eds.), Dynamical Systems in Cosmology, Cambridge University Press.
Hobill, D., Burd, A.B. and Coley, A.A. (eds): 1994, Deterministic Chaos in General Relativity, Plenum Press, New York.
Kasner, E.: 1921, Am. J. Math., 217.
LeBlanc, V.G.: 1997, Class. Quantum Grav. 14, 2281.
Maartens, R.: 2001, gr-qc/0101059.
Maartens, R.: 2000, Phys. Rev. D 62, 084023.
Maartens, R., Sahni, V. and Saini, T.D.: 2001, Phys. Rev. D 63, 063509.
Penrose, R.: 1979: in: S.W. Hawking and W. Israel (eds.), General Relativity, an Einstein Centenary Survey, Cambridge Univ. Press.
Randall, L. and Sundrum, R.: 1999a, Phys. Rev. Lett. 83, 4690.
Randall, L. and Sundrum, R.: 1999b, Phys. Rev. Lett. 83, 3370.
Savchenko, N.Yu., Savchenko, S.V. and Toporensky, A.V.: gr-qc/0204071.
Spokoiny, B.L.: 1981, Phys. Lett. A 81, 493.
Toporensky, A.V.: 2001, Class. Quant. Grav. 18, 2311.
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Hervik, S. Chaos and Brane-worlds. Astrophysics and Space Science 283, 673–678 (2003). https://doi.org/10.1023/A:1022580229160
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DOI: https://doi.org/10.1023/A:1022580229160