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具有正值 λ 的宇宙学:未来行为层次结构
1Max-Planck-Institut für Gravitationsphysik, Am Mühlenberg 1,Golm 14476, Germany.
概括
与物质的广义相对论解决方案表现出类似于真空解决方案的未来非对称行为. 本研究探讨了爱因斯坦场方程与各种物质合,包括完美的流体的合规扩展.
科学领域:
- 一般相对论一般相对论.
- 数学物理 数学物理
- 宇宙学的宇宙学是什么?
背景情况:
- 爱因斯坦的场方程控制着时空动力学.
- 在真空溶液中的De Sitter数据产生了光滑的合规边界.
- 了解物质在非对称行为中的作用至关重要.
研究的目的:
- 将真空解决方案的属性概括为爱因斯坦与物质的方程.
- 调查与物质相结合的爱因斯坦-麦克斯韦尔方程的未来非对称行为.
- 分析各种物质合的合规延伸.
主要方法:
- 弗里德曼-莱马特-罗伯森-沃克 (FLRW) 解决方案的研究.
- 将爱因斯坦方程与符合共变的,特权的和非共变的物质运输方程结合起来.
- 分析爱因斯坦-马克斯韦尔方程与完美的流体和非线性异常尘埃/辐射状态方程.
主要成果:
- 在真空溶液中观察到的光滑合体边界的特性可以将其推广到某些物质溶液中.
- 跨越边界的合规延伸是由合规爱因斯坦方程决定的.
- 未来的非对称行为取决于物质合的类型.
结论:
- 爱因斯坦与物质的场方程可以表现出可预测的未来非对称行为.
- 合规方法提供了关于时空与物质的全球结构的见解.
- 该研究促进了对广义相对论的理解,在非对称学和合规方法的界面上.
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