تقرير
Global Existence and Completeness of Classical Solutions in Higher Dimensional Einstein-Klein-Gordon System
| العنوان: | Global Existence and Completeness of Classical Solutions in Higher Dimensional Einstein-Klein-Gordon System |
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| المؤلفون: | Wijayanto, Mirda Prisma, Akbar, Fiki Taufik, Gunara, Bobby Eka |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology, High Energy Physics - Theory, Mathematical Physics |
| الوصف: | In this paper we study the global existence and completeness of classical solutions of gravity coupled a scalar field system called Einstein-Klein-Gordon system in higher dimensions. We introduce a new ansatz function to reduce the problem into a single first-order integro-differential equation. Then, we employ the contraction mapping in the appropriate Banach space. Using Banach fixed theorem, we show that there exists a unique fixed point, which is the solution of the theory. For a given initial data, we prove the existence of both local and global classical solutions. We also study the completeness properties of the spacetime. Here, we introduce a mass-like function for $D\geq 4$ in Bondi coordinates. The completeness of spacetime along the future directed timelike lines outward to a region which resembles the event horizon of the black hole. Comment: 35 pages, no figure, title slihgtly changed, subsection 1.1 extended, some typos corrected. Accepted in General Relativity and Gravitation 2024 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2304.09449 |
| رقم الأكسشن: | edsarx.2304.09449 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |