Decoupling the momentum constraints in general relativity

作者：Tafel J^*

来源：General Relativity and Gravitation, 2015, 47(9): 108.

DOI：10.1007/s10714-015-1953-x

• Initial constraints
• Conformal method
• Marginally trapped surfaces

We present a 2+1 decomposition of the vacuum initial conditions in general relativity. For a constant mean curvature one of the momentum constraints decouples in quasi isotropic coordinates and it can be solved by quadrature. The remaining momentum constraints are written in the form of the tangential Cauchy-Riemann equation. Under additional assumptions its solutions can be written in terms of integrals of known functions. We show how to obtain initial data with a marginally outer trapped surface. A generalization of the Kerr data is presented.

• 出版日期2015-9