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

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Abstract

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).

Original languageEnglish
Article number185001
JournalClassical and Quantum Gravity
Volume33
Issue number18
DOIs
Publication statusPublished - 2016 Aug 19

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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