R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Spherically symmetric constant mean curvature hypersurfaces in the extended Schwarzschild spacetime
Kuo-Wei Lee (National Changhua University of Education)
In this talk, we first summarize the characterization of smooth spacelike spherically symmetric constant mean curvature (SS-CMC) hypersurfaces in the Schwarzschild spacetime and Kruskal extension. Then use the characterization to prove special SS-CMC foliation property, and verify part of the conjecture by Malec and O Murchadha in [1].
This is the joint work with Yng-Ing Lee.
[1] Malec, E.; O Murchadha, N.: Constant mean curvature slices in the extended Schwarzschild solution and the collapse of the lapse, Phys. Rev. D (3) 68 (2003), no. 12, 124019, 16 pp.