Dirichlet problem for the constant mean curvature equation and CMC foliation in the extended Schwarzschild spacetime

作者：Lee Kuo Wei^*

来源：Classical and Quantum Gravity, 2016, 33(18): 185001.

DOI：10.1088/0264-9381/33/18/185001

• constant mean curvature hypersurfaces
• Schwarzschild spacetime
• Dirichlet problem
• CMC foliaton

We prove the existence and uniqueness of the Dirichlet problem for the spacelike, spherically symmetric, constant mean curvature equation with symmetric boundary data in the extended Schwarzschild spacetime. As an application, we completely solve the CMC foliation conjecture which is proposed by Malec and Murchadha (2003 Phys. Rev. D 68 124019).

• 出版日期2016-9-22