Classical evolution of subspaces

被引：9

作者：

Lyakhova, Yana ^{[1
]}

Popov, Arkady A. ^{[2
]}

Rubin, Sergey G. ^{[1
,2
]}

机构：

[1] Natl Res Nucl Univ MEPhI, Moscow Engn Phys Inst, Kashirskoe Shosse 31, Moscow 115409, Russia

[2] Kazan Fed Univ, NI Lobachevsky Inst Math & Mech, Kremlevskaya St 18, Kazan 420008, Russia

来源：

EUROPEAN PHYSICAL JOURNAL C | 2018年 / 78卷 / 09期

关键词：

NONLINEAR MULTIDIMENSIONAL GRAVITY; COSMOLOGY; DYNAMICS;

D O I：

10.1140/epjc/s10052-018-6251-9

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：

We study evolution of manifolds after their creation at high energies. Several kinds of gravitational Lagrangians with higher derivatives are considered. It is shown analytically and confirmed numerically that an asymptotic growth of the maximally symmetric manifolds depends strongly on their dimensionality. A number of final metrics describing our Universe is quite poor if we limit ourselves with a maximally symmetric extra space. We show that the initial conditions can be a reason of nontrivial solutions (funnels) and study their properties.

引用

页数：13

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