Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates

被引：4
|
作者：
Costa, Joao L. [1 ,2 ]
Mena, Filipe C. [2 ,3 ]
机构：
[1] Inst Univ Lisboa ISCTE IUL, Av Forcas Armadas, P-1649026 Lisbon, Portugal
[2] Univ Lisbon, Ctr Anal Matemat Geometria & Sistemas Dinam, Inst Super Tecn, Av Rovisco Pais 1, P-1049001 Lisbon, Portugal
[3] Univ Minho, Ctr Matemat, P-4710057 Braga, Portugal
来源：
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2021年 / 18卷 / 02期
关键词：
Einstein field equations; global existence of solutions; asymptotic analysis; NONLINEAR FUTURE STABILITY; COSMIC NO-HAIR; FLRW FAMILY; ASYMPTOTICS; EXISTENCE; EQUATIONS;
D O I：
10.1142/S0219891621500107
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a characteristic initial value problem, with initial data given on a future null cone, for the Einstein (massless) scalar field system with a positive cosmological constant, in Bondi coordinates. We prove that, for small data, this system has a unique global classical solution which is causally geodesically complete to the future and decays polynomially in radius and exponentially in Bondi time, approaching the de Sitter solution.
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页码：311 / 341
页数：31
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