Isotropization of scalar field Bianchi models with an exponential potential

Details Isotropization of scalar field Bianchi models with an exponential potential Isotropization of scalar field Bianchi models with an exponential potential

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phrvd..51..928i&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 51, Issue 2, 15 January 1995, pp.928-930

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36

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Scientific paper

We study whether homogeneous cosmological models containing a self-interacting scalar field with an exponential potential [of the form V(φ)=Λekφ] isotropize. Following Heusler [M. Heusler, Phys. Lett. B 253, 33 (1991)], we show that Bianchi models, other than possibly those of types I, V, VII, or IX, cannot isotropize if k2>2. In this case we note that the solutions of Feinstein and Ibáñez [A. Feinstein and J. Ibáñez, Class. Quantum Grav. 10, 93 (1993)], which are neither isotropic nor inflationary, act as stable attractors. When k2<2 the cosmic no-hair theorem of Kitada and Maeda [Y. Kitada and K. Maeda, Phys. Rev. D 45, 1416 (1992); Class. Quantum Grav. 10, 703 (1993)] applies and the isotropic power-law inflationary FRW solution is the unique attractor for any initially expanding Bianchi model.

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