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Exact Solutions for an Inflationary Braneworld Model with Scalar and Tachyon Field

Dilip Kumar Paul

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Abstract

I present here the inflationary models of early universe in the braneworld scenario considering either a scalar field or tachyon field. The technique of Zhuravlev and Chervon to obtain inflationary cosmological models without restrictions on a scalar field potential is employed here. I note that like scalar field, the inflationary solution obtained here with tachyon field do not depend on its potential. However, unlike scalar field, inflation with tachyon is obtained for a restricted domains of the field to begin with. I present potentials for which one gets inflation in both scalar field and tachyon field. It is found that unlike the scalar field potential, the tachyonic potential is not regular at all values of the field.

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What this paper is about

I present here the inflationary models of early universe in the braneworld scenario considering either a scalar field or tachyon field. The technique of Zhuravlev and Chervon to obtain inflationary cosmological models without restrictions on a scalar field potential is employed here. I note that like scalar field, the inflationary solution obtained here with tachyon field do not depend on its potential. However, unlike scalar field, inflation with tachyon is obtained for a restricted domains of the field to begin with. I present potentials for which one gets inflation in both scalar field and tachyon field. It is found that unlike the scalar field potential, the tachyonic potential is not regular at all values of the field.

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Available abstract

I present here the inflationary models of early universe in the braneworld scenario considering either a scalar field or tachyon field. The technique of Zhuravlev and Chervon to obtain inflationary cosmological models without restrictions on a scalar field potential is employed here. I note that like scalar field, the inflationary solution obtained here with tachyon field do not depend on its potential. However, unlike scalar field, inflation with tachyon is obtained for a restricted domains of the field to begin with. I present potentials for which one gets inflation in both scalar field and tachyon field. It is found that unlike the scalar field potential, the tachyonic potential is not regular at all values of the field.

Key concepts: Tachyon, Scalar field, Tachyonic field, Physics, Tachyon condensation, Inflation (cosmology), Scalar (mathematics), Field (mathematics)

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