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arXiv 1206.4153gr-qcmath-phmath.APmath.MP
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具有正宇宙学常数的自引力标量场问题

The problem of a self-gravitating scalar field with positive cosmological constant

Joao L. Costa, Artur Alho, Jose Natario

摘要:

研究了具有正宇宙学常数和球对称初始特征数据的Einstein-标量场系统。我们证明了适定性,整体存在性和指数衰减(邦迪)时间,小数据。由此可以得出,与德西特数据足够接近的初始数据演化为因果测地线完备时空(有边界),它以指数速率渐近地接近德西特的区域;这是德西特在所考虑的类中的非线性稳定性结果,也是宇宙无毛猜想的实现。

英文摘要:

We study the Einstein-scalar field system with positive cosmological constant and spherically symmetric characteristic initial data given on a truncated null cone. We prove well-posedness, global existence and exponential decay in (Bondi) time, for small data. From this, it follows that initial data close enough to de Sitter data evolves to a causally geodesically complete spacetime (with boundary), which approaches a region of de Sitter asymptotically at an exponential rate; this is a non-linear stability result for de Sitter within the class under consideration, as well as a realization of the cosmic no-hair conjecture.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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