臺灣博碩士論文加值系統

相對論開啟了人類對宇宙理解的新頁，其對於時空的解析更成為探索宇宙起源的有力工具。作為相對論的骨架，透過張量的運用，人們得以描述彎曲空間的種種性質。然而根據等效原理，我們只能計算準局域化的能量，因此描述能量的表達式為共變的膺張量形式。並且膺張量可經由面積分或體積分，分別得到動量通量與四維總動量。本篇使用 Landau-Lifshitz 膺張量來計算一質量相同且無自旋之雙黑洞系統，在結合過程的動量與質量變化，並相互比較驗證。

I. Introduction　3
II. Relativistic Mechanics 3
a. Four-Momentum 3
b. Evolution Equations 6
III.BSSN Formulism 10
IV. Landau-Lifshitz Pseudotensor 11
V. Simulations of BBH Without Spins 14
a. Initial Data and ADM Mass 14
b. Pseudotensor and Momentum Flux 16
VI. Conclusion 18
VII.References 19

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