6533b856fe1ef96bd12b2792

RESEARCH PRODUCT

On the local existence of maximal slicings in spherically symmetric spacetimes

José María IbáñezIsabel Cordero-carriónJuan Antonio Morales-lladosa

subject

PhysicsHistoryPartial differential equationFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)First orderSpherically symmetric spacetimeGeneral Relativity and Quantum CosmologyComputer Science ApplicationsEducationMathematical physics

description

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.

https://dx.doi.org/10.48550/arxiv.1003.1014