IF 1.2
4区 物理与天体物理
Q3 ASTRONOMY & ASTROPHYSICS
引用次数: 0
摘要
我们研究了高维度爱因斯坦-斯卡拉方程的局部经典解的存在性。我们将问题简化为一个一阶积分微分方程。然后，我们在适当的巴拿赫空间中使用收缩映射。利用巴拿赫定点定理，我们证明存在一个唯一的定点，它就是主问题的解。最后，对于给定的初始数据，我们证明了局部经典解的存在。本文章由计算机程序翻译，如有差异，请以英文原文为准。
Existence of a Local Classical Solution to the Einstein-Scalar System in Higher Dimensions
We study the existence of a local classical solution to the Einstein-Scalar equations in higher dimensions. We reduce the problem to a single first-order integro-differential equation. Then, we employ the contraction mapping in the appropriate Banach space. Using the Banach fixed theorem, we show that there exists a unique fixed point, which is the solution to the main problem. Finally, for given initial data, we prove the existence of a local classical solution.
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来源期刊
Gravitation and Cosmology
ASTRONOMY & ASTROPHYSICS-
CiteScore
1.70
自引率
22.20%
发文量
31
审稿时长
>12 weeks
期刊介绍：
Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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