具有非平凡势的高维einstein-maxwell-higgs系统的经典解：整体存在性和完备性

IF 2.8 4区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

General Relativity and Gravitation Pub Date : 2025-05-30 DOI:10.1007/s10714-025-03430-0

Mirda Prisma Wijayanto, Fiki Taufik Akbar, Bobby Eka Gunara

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引用次数: 0

摘要

研究了在邦迪坐标系下高维爱因斯坦-麦克斯韦-希格斯系统的柯西问题。作为第一步，通过定义广义ansatz函数，将问题简化为单个一阶积分-微分方程。然后，我们利用一个收缩映射来证明问题存在唯一不动点。对于给定的小初始数据，我们证明了经典解的整体存在性。最后，通过引入高维的局部质量和局部电荷函数，我们也证明了解的完备性。

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Classical solutions of higher dimensional einstein-maxwell-higgs system with nontrivial potential: global existence and completeness

We study the Cauchy problem of higher dimensional Einstein-Maxwell-Higgs system in the framework of Bondi coordinates. As a first step, the problem is reduced to a single first-order integro-differential equation by defining a generalized ansatz function. Then, we employ a contraction mapping to show that there exists the unique fixed point of the problem. For a given small initial data, we prove the global existence of classical solutions. Finally, by introducing local mass and local charge functions in higher dimensions, we also show the completeness property of the solutions.

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来源期刊

General Relativity and Gravitation 物理-天文与天体物理

CiteScore

4.60

自引率

3.60%

发文量

136

审稿时长

3 months

期刊介绍： General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation. It welcomes in particular original articles on the following topics of current research: Analytical general relativity, including its interface with geometrical analysis Numerical relativity Theoretical and observational cosmology Relativistic astrophysics Gravitational waves: data analysis, astrophysical sources and detector science Extensions of general relativity Supergravity Gravitational aspects of string theory and its extensions Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations Quantum field theory in curved spacetime Non-commutative geometry and gravitation Experimental gravity, in particular tests of general relativity The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.