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Paper detail

Darmois matching and $C^3$ matching

We apply the Darmois and the $C^3$ matching conditions to three different spherically symmetric spacetimes. The exterior spacetime is described by the Schwarzschild vacuum solution whereas for the interior counterpart we choose different perfect fluid solutions with the same symmetry. We show that Darmois matching conditions are satisfied in all three cases whereas the $C^3$ conditions are not fulfilled. We argue that this difference is due to a non-physical behavior of the pressure on the matching surface.

preprint2022arXivOpen access
Antonio Calixto Gutiérrez-PiñeresHernando Quevedo
gr-qc
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Antonio Calixto Gutiérrez-PiñeresHernando Quevedo

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