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arXiv · 2407.18973

Classical Solutions of Higher Dimensional Einstein-Maxwell-Higgs System With Nontrivial Potential: Global Existence and Completeness

Mirda Prisma Wijayanto·Fiki Taufik Akbar·Bobby Eka Gunara
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Abstract

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 contraction mapping to show that there exists the unique fixed point of the problem. For a given small initial data, we prove the existence of a global classical solution. Finally, by introducing local mass and local charge functions in higher dimensions, we also show the completeness property of the spacetimes.

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Mirda Prisma Wijayanto, Fiki Taufik Akbar, Bobby Eka Gunara. 2024-07-22. Classical Solutions of Higher Dimensional Einstein-Maxwell-Higgs System With Nontrivial Potential: Global Existence and Completeness. https://arxiv.org/abs/2407.18973

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