The global existence of small self-interacting scalar field propagating in the contracting universe

被引：2

作者：

Galstian, Anahit ^{[1
]}

Yagdjian, Karen ^{[1
]}

机构：

[1] Univ Texas RGV, Sch Math & Stat Sci, 1201 W Univ Dr, Edinburg, TX 78539 USA

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2020年 / 27卷 / 03期

关键词：

FLRW space-time; Klein-Gordon equation; Semilinear equation; Global solution; Higgs potential; KLEIN-GORDON EQUATIONS; WAVE-EQUATIONS; SITTER;

D O I：

10.1007/s00030-020-00632-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a condition on the self-interaction term that guaranties the existence of the global in time solution of the Cauchy problem for the semilinear Klein-Gordon equation in the Friedmann-Lamaitre-Robertson-Walker model of the contracting universe. For the Klein-Gordon equation with the Higgs potential we give a lower estimate for the lifespan of solution.

引用

页数：24

共 50 条

[31] Radiative contributions to the effective action of self-interacting scalar field on a manifold with boundary
Tsoupros, G
CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (11) : 2255 - 2266
[32] NEW PERTURBATIVE APPROXIMATION APPLIED TO A SELF-INTERACTING SCALAR FIELD-THEORY
YOTSUYANAGI, I
PHYSICAL REVIEW D, 1989, 39 (02): : 485 - 493
[33] Evolution of a self-interacting scalar field in the spacetime of a higher dimensional black hole
Moderski, R
Rogatko, M
PHYSICAL REVIEW D, 2005, 72 (04): : 1 - 6
[34] EFFECTIVE LANGRANGIAN FOR SELF-INTERACTING SCALAR FIELD-THEORIES IN CURVED SPACETIME
KIRSTEN, K
COGNOLA, G
VANZO, L
PHYSICAL REVIEW D, 1993, 48 (06): : 2813 - 2822
[35] Collapse of Self-Interacting Scalar Field in Anti-de Sitter Space
蔡荣根
季力伟
杨润秋
CommunicationsinTheoreticalPhysics, 2016, 65 (03) : 329 - 334
[36] Renormalization-group flow for the field strength in scalar self-interacting theories
Consoli, M.
Zappala, D.
PHYSICS LETTERS B, 2006, 641 (05) : 368 - 371
[37] Self-interacting scalar field trapped in a DGP brane: The dynamical systems perspective
Quiros, Israel
Garcia-Salcedo, Ricardo
Matos, Tonatiuh
Moreno, Claudia
PHYSICS LETTERS B, 2009, 670 (4-5) : 259 - 265
[38] Non-Gaussian path integration in self-interacting scalar field theories
Kaya, A
PHYSICAL REVIEW D, 2004, 70 (08):
[39] FRW minisuperspace with local N=4 supersymmetry and self-interacting scalar field
Moniz, PV
ANNALEN DER PHYSIK, 2003, 12 (03) : 174 - 198
[40] Static and slowly rotating neutron stars in scalar–tensor theory with self-interacting massive scalar field
Kalin V. Staykov
Dimitar Popchev
Daniela D. Doneva
Stoytcho S. Yazadjiev
The European Physical Journal C, 2018, 78

← 1 2 3 4 5 →