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If you are simply looking at the coordinate values and ignoring the metric, interior coordinates are not the same as the "coordinates at infinity" (assuming you splice the different sections together to ensure continuity at the splicing points). In this case the interior metric will be of the form$$ds^2 = A^2 \, \, dt^2 - B^2 (dr^2 + r^2(d\theta^2 + \sin^2 \theta \, \, d\phi^2))$$ for some constants A, B chosen to get a "smooth splice", or, in Cartesian form$$ds^2 = A^2 \, \, dt^2 - B^2 (dx^2 + dy^2 + dz^2)$$If you apply the metric, the "interior" distances will be the same as those "at infinity".