Asian Journal of Mathematics
Volume 22 (2018)
Curvature estimates for weakly stable surfaces of constant null expansions
Pages: 1089 – 1116
In this paper, we prove by blow-up arguments the curvature estimates for weakly stable constant null expansion surfaces in Cauchy data set for the Einstein equation. This improves the sup-estimate by Andersson–Metzger [AM10] for the curvature of stable marginally outer trapped surfaces.
curvature estimates, null expansion, stability, convergence, blow-up
2010 Mathematics Subject Classification
Primary 53C42. Secondary 53C80.
The author is partially supported by National Science Foundation of China (grant 11171328, 11571345).
Received 15 February 2015
Accepted 9 March 2017
Published 6 February 2019