Global existence of the self-interacting scalar field in the de Sitter universe

被引：17
|
作者：
Yagdjian, Karen [1 ]
机构：
[1] Univ Texas RGV, Sch Math & Stat Sci, 1201 W Univ Dr, Edinburg, TX 78539 USA
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 05期
关键词：
KLEIN-GORDON EQUATION; INTEGRAL TRANSFORM APPROACH; WAVE-EQUATIONS;
D O I：
10.1063/1.5082653
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present some sufficient conditions for the global in time existence of solutions of the semilinear Klein-Gordon equation of the self-interacting scalar field with complex mass. The coefficients of the equation depend on spatial variables as well, which makes results applicable, in particular, to the spacetime with the time slices being Riemannian manifolds. The least lifespan estimate is given for the class of equations including the Higgs boson equation, which according to physics has a finite lifetime.
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页数：29
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