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arXiv · 2102.00507

Radiating jump conditions in General Relativity

L. F Castañeda-Godoy·J. Ospino·L. A. Núñez
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Abstract

We present a unified description of spherical discontinuity surfaces in General Relativity based on two parameters: mass function and surface permeability. The surfaces considered are: \textit{Impulsive fronts}, massive permeable layer; \textit{Surface layers}, massive impermeable layer; \textit{Shock fronts}, massless permeable surface; and \textit{Boundary surfaces}, massless impermeable surface. We derive the exact jump conditions for the physical variables across all these surfaces. Finally, we discuss the quasi-static approximation from studying slow hydrodynamic processes involving discontinuity surfaces.

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L. F Castañeda-Godoy, J. Ospino, L. A. Núñez. 2021-01-31. Radiating jump conditions in General Relativity. https://arxiv.org/abs/2102.00507

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