Mirda Prisma Wijayanto, Fiki Taufik Akbar, Bobby Eka Gunara
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引用次数: 0
Abstract
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.
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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