EXACT SOLUTIONS OF NONLOCAL NONLINEAR FIELD EQUATIONS IN COSMOLOGY

被引：10
|
作者：
Vernov, S. Yu. [1 ]
机构：
[1] Lomonosov Moscow State Univ, Skobeltsyn Inst Nucl Phys, Moscow, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2011年 / 166卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
cosmology; nonlocal scalar field; Friedmann-Robertson-Walker metric; exact solution; elliptic function; ENERGY; MODEL;
D O I：
10.1007/s11232-011-0031-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a method for seeking exact solutions of the equation of a nonlocal scalar field in a nonflat metric. In the Friedmann-Robertson-Walker metric, the proposed method can be used in the case of an arbitrary potential except linear and quadratic potentials, and it allows obtaining solutions in quadratures depending on two arbitrary parameters. We find exact solutions for an arbitrary cubic potential, which consideration is motivated by string field theory, and also for exponential, logarithmic, and power potentials. We show that the k-essence field can be added to the model to obtain exact solutions satisfying all the Einstein equations.
引用
收藏
页码：392 / 402
页数：11
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