Velocities and Momenta in an Extended Elliptic Form of the Initial Value Conditions

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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10 pages, to appear in Analysis, Manifolds and Geometric Structures in Physics (Elba, 2004), edited by G. Ferrarese & T. Rugge

Scientific paper

10.1393/ncb/i2004-10181-y

The complete form of the constraints following from their conformal structure is extended so as to include constant mean curvature and other mean curvature foliations. This step is demonstrated using the momentum phase space approach. This approach yields equations of exactly the same form as the extended conformal thin sandwich approach. In solving the equations, it is never necessary actually to perform a tensor decomposition.

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