Stewart-Lyth second-order approach as an Abel equation for reconstructing inflationary dynamics

被引：22

作者：

Garcia, A ^{[1
]}

Macias, A ^{[1
]}

Mielke, EW ^{[1
]}

机构：

[1] UNIV AUTONOMA METROPOLITANA IZTAPALAPA,DEPT FIS,MEXICO CITY 09340,DF,MEXICO

来源：

PHYSICS LETTERS A | 1997年 / 229卷 / 01期

关键词：

D O I：

10.1016/S0375-9601(97)00158-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By using the more stringent nonlinear second order slow-roll approximation, we found that the nonlinear second order equation of Stewart and Lyth is of the Abel type of the first kind. Here we prove that its unique polynomial solution is a first order one. We apply this unique solution to reconstruct the inflationary potential from a more phenomenological point of view, compatible with recent COBE and CAT data. (C) 1997 Published by Elsevier Science B.V.

引用

页码：32 / 36

页数：5

共 17 条

[11]

LIDSEY JE, 1997, IN PRESS REV MOD PHY

[12] THE CURVATURE PERTURBATION IN POWER LAW (EG EXTENDED) INFLATION [J].

LYTH, DH ;

STEWART, ED .

PHYSICS LETTERS B, 1992, 274 (02) :168-172

[13] RECONSTRUCTING THE INFLATION POTENTIAL FOR AN ALMOST FLAT COBE SPECTRUM [J].

MIELKE, EW ;

SCHUNCK, FE .

PHYSICAL REVIEW D, 1995, 52 (02) :672-678

[14] Second-order reconstruction of inflationary dynamics compatible with recent COBE data [J].

Mielke, EW ;

Obregon, O ;

Macias, A .

PHYSICS LETTERS B, 1997, 391 (3-4) :281-286

[15] A NEW METHOD OF GENERATING EXACT INFLATIONARY SOLUTIONS [J].

SCHUNCK, FE ;

MIELKE, EW .

PHYSICAL REVIEW D, 1994, 50 (08) :4794-4806

[16]

Scott PF, 1996, ASTROPHYS J, V461, pL1, DOI 10.1086/310000

[17] A MORE ACCURATE ANALYTIC CALCULATION OF THE SPECTRUM OF COSMOLOGICAL PERTURBATIONS PRODUCED DURING INFLATION [J].

STEWART, ED ;

LYTH, DH .

PHYSICS LETTERS B, 1993, 302 (2-3) :171-175

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