The method of generating functions in exact scalar field inflationary cosmology

被引：26
|
作者：
Chervon, Sergey V. [1 ,2 ]
Fomin, Igor V. [2 ]
Beesham, Aroonkumar [3 ]
机构：
[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Astrophys & Cosmol Res Unit, Private Bag X54 001, ZA-4000 Durban, South Africa
[2] Bauman Moscow State Tech Univ, 2-nd Baumanskaya St,5, Moscow 105005, Russia
[3] Univ Zululand, Dept Math Sci, Private Bag X1001, ZA-3886 Kwa Dlangezwa, South Africa
来源：
EUROPEAN PHYSICAL JOURNAL C | 2018年 / 78卷 / 04期
关键词：
1ST-ORDER PHASE-TRANSITION; POWER-LAW INFLATION; CHAOTIC INFLATION; POTENTIAL MINIMA; UNIVERSE; MODELS; FLATNESS; EQUATION; HORIZON;
D O I：
10.1140/epjc/s10052-018-5795-z
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
The construction of exact solutions in scalar field inflationary cosmology is of growing interest. In this work, we review the results which have been obtained with the help of one of the most effective methods, viz., the method of generating functions for the construction of exact solutions in scalar field cosmology. We also include in the debate the superpotential method, which may be considered as the bridge to the slow roll approximation equations. Based on the review, we suggest a classification for the generating functions, and find a connection for all of them with the superpotential.
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页数：14
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