Russian Physics Journal

, Volume 56, Issue 7, pp 725–730 | Cite as

New class of cosmological solutions for a self-interacting scalar field

Elementary Particle Physics and Field Theory

New cosmological solutions are found to the system of Einstein scalar field equations using the scalar field φ as the argument. For a homogeneous and isotropic Universe, the system of equations is reduced to two equations, one of which is an equation of Hamilton–Jacobi type. Using the hyperbolically parameterized representation of this equation together with the consistency condition, explicit dependences of the potential V of the scalar field and the Hubble parameter H on φ are obtained. The dependences of the scalar field and the scale factor a on cosmic time t have also been found. It is shown that this scenario corresponds to the evolution of the Universe with accelerated expansion out to times distant from the initial singularity.


cosmology scalar fields exact solutions accelerated expansion of the Universe 


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© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Ul’yanovsk State Pedagogical UniversityUl’yanovskRussia

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