On the local existence of maximal slicings in spherically symmetric spacetimes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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4 pages. Accepted for publication in Journal of Physics: Conference Series, Proceedings of the Spanish Relativity Meeting ERE2

Scientific paper

In this talk we show that any spherically symmetric spacetime admits locally
a maximal spacelike slicing. The above condition is reduced to solve a
decoupled system of first order quasi-linear partial differential equations.
The solution may be accomplished analytical or numerically. We provide a
general procedure to construct such maximal slicings.

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