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arXiv · 2405.11060

$C^3$ matching conditions for anisotropic fluids

Antonio C. Gutiérrez-Piñeres·Hernando Quevedo
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Abstract

The $C^3$ 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.

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Antonio C. Gutiérrez-Piñeres, Hernando Quevedo. 2024-05-17. $C^3$ matching conditions for anisotropic fluids. https://arxiv.org/abs/2405.11060

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