A geometric framework for conservation laws along null hypersurfaces

2022/11/07 by Politou, Eva
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2211.03849

Abstract

We use the general theory of local conservation laws for arbitrary partial differential equations to provide a geometric framework for conservation laws on characteristic null hypersurfaces. The operator of interest is the wave operator on general four-dimensional Lorentzian manifolds restricted on a null hypersurface.

Related

• Hyperbolic conservation laws and spacetimes with limited regularity
• Geometry of null hypersurfaces
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