Radiating jump conditions in General Relativity
General Relativity and Quantum Cosmology
2021-02-02 v1
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.
Cite
@article{arxiv.2102.00507,
title = {Radiating jump conditions in General Relativity},
author = {L. F Castañeda-Godoy and J. Ospino and L. A. Núñez},
journal= {arXiv preprint arXiv:2102.00507},
year = {2021}
}