$C^3$ matching conditions for anisotropic fluids
General Relativity and Quantum Cosmology
2024-05-21 v1
Abstract
The approach is an invariant formalism that utilizes the eigenvalues of the Riemann curvature tensor to match spacetimes across a specific matching surface. We apply this approach to match an anisotropic fluid with an exterior vacuum solution, including the case in which discontinuities appear on the matching surface. As a particular example, a class of analytic solutions, which describe the gravitational field of realistic neutron stars, is matched to the exterior Schwarzschild spacetime.
Cite
@article{arxiv.2405.11060,
title = {$C^3$ matching conditions for anisotropic fluids},
author = {Antonio C. Gutiérrez-Piñeres and Hernando Quevedo},
journal= {arXiv preprint arXiv:2405.11060},
year = {2024}
}