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
收藏
页数：24
相关论文
共 50 条
  • [41] Dynamics of the scalar condensate in thermal 4D self-interacting scalar field theory on the lattice
    Cea, P
    Consoli, M
    Cosmai, L
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2002, 106 : 953 - 955
  • [42] MASSIVE, SELF-INTERACTING SCALAR MULTIPLET COUPLED TO SUPERGRAVITY
    DAS, A
    FISCHLER, M
    ROCEK, M
    PHYSICS LETTERS B, 1977, 69 (02) : 186 - 188
  • [43] Oscillatons described by self-interacting quartic scalar fields
    Mahmoodzadeh, A.
    Malekolkalami, B.
    PHYSICS OF THE DARK UNIVERSE, 2018, 19 : 21 - 26
  • [44] Solitons and halos for self-interacting scalar dark matter
    Garcia, Raquel Galazo
    Brax, Philippe
    Valageas, Patrick
    PHYSICAL REVIEW D, 2024, 109 (04)
  • [45] SELF-INTERACTING DARK MATTER WITH A NEUTRINOPHILIC SCALAR MEDIATOR
    Rajaraman, Arvind
    Smolinsky, Jordan
    ACTA PHYSICA POLONICA B, 2020, 51 (09): : 1827 - 1839
  • [46] Self-interacting dark matter with scalar dilepton mediator
    Kao, Chung
    Tsai, Yue-Lin Sming
    Wong, Gwo-Guang
    PHYSICAL REVIEW D, 2021, 103 (05)
  • [47] Thermomagnetic renormalons in a scalar self-interacting λφ4 theory
    Loewe, M.
    Monje, L.
    Zamora, R.
    PHYSICAL REVIEW D, 2021, 104 (01)
  • [48] Self-interacting scalar fields at high-temperature
    Alexandre Deur
    The European Physical Journal C, 2017, 77
  • [49] Magnetic renormalons in a scalar self-interacting λφ4 theory
    Correa, M.
    Loewe, M.
    Valenzuela, D.
    Zamora, R.
    PHYSICAL REVIEW D, 2019, 99 (09)
  • [50] SELF-INTERACTING SCALAR FIELDS ON A CONFORMALLY FLAT BACKGROUND
    GUNZIG, E
    NARDONE, P
    VANDENBERGH, N
    PHYSICS LETTERS B, 1990, 238 (2-4) : 262 - 264
12345