Anisotropic Solutions for R2 Gravity Model with a Scalar Field

被引:0
|
作者
Ivanov, V. R. [1 ]
Vernov, S. Yu. [2 ]
机构
[1] Lomonosov Moscow State Univ, Phys Dept, Moscow, Russia
[2] Lomonosov Moscow State Univ, Skobeltsyn Inst Nucl Phys, Moscow, Russia
关键词
COSMOLOGICAL MODELS;
D O I
10.1134/S1063778824010204
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We study anisotropic solutions for the pure R-2 gravity model with a scalar field in the BianchiI metric. The evolution equations have a singularity at zero value of the Ricci scalar R for anisotropic solutions, whereas these equations are smooth for isotropic solutions. So, there is no anisotropic solution with the Ricci scalar smoothly changing its sign during evolution. We have found anisotropic solutions using the conformal transformation of the metric and the Einstein frame. The general solution in the Einstein frame has been found explicitly. The corresponding solution in the Jordan frame has been constructed in quadratures
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页码:1526 / 1532
页数:7
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