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I was recently studying alternative metrics for the Schwarzschild metric and one of them was the Kruskal Szekeres metric.

In Schwarzschild, the radius r is defined which is the radius from the centre of the object with mass we are sutdying. In K-S metric the Tortoise coordinate was mentioned with a value greater than the classical r in Schwarzschild.

So my question is, if we use a different metric, in this case the K-S metric, does the radial spatial distance between two points change? And can anybody give me a concrete example, for instance a distance of 1m near Earth would be what distance according to Kruskal and Szekeres coordinates?

Thanks in advance.