On the local existence of maximal slicings in spherically symmetric spacetimes

Abstract

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.

4 pages. Accepted for publication in Journal of Physics: Conference Series, Proceedings of the Spanish Relativity Meeting ERE2009

References in corpus (3)

• A constrained scheme for Einstein equations based on Dirac gauge and spherical coordinates
• Waveless Approximation Theories of Gravity
• Rotating star initial data for a constrained scheme in numerical relativity