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I'm wondering if the galactic rotation curves could be attributed to a deviation of the metric of spacetime from the ideal Schwarzschild metric.

The Schwarzschild-metric is a well tested good approximation for the regions near the central mass - but at the outer space, far away from the central mass, we only

It's like the difference whether we 1. assume the spacetime to be Minkowskian without matter - just add matter and curvature to the empty flat space or whether we 2. assume the spacetime itself is curved to vanish in the outer regions.

A "vanishing" spacetime (3 space dimensions approximating zero (not 1 = Minkowski, as in the standard model) and time accelarating to infinite) would build a curvature which would lead to an accelaration in comparison to the "Minkowskian outer space" which we assume in the standard model.

If one uses the rotation curves of the outer stars (constant velocity, independent of the distance r to the central mass) to determine the metric (standard form, spherically symmetric) the resulting metric is something like the square root of (r to the power of 3) in time and its inverse in space.

How about that idea?

Have you seen something like that anywhere in the literature?

The Schwarzschild-metric is a well tested good approximation for the regions near the central mass - but at the outer space, far away from the central mass, we only

*assume*that the curvature of spacetime approximates to zero (the curvature approximates to zero, the spacetime approximates to the Minkowski-Space). Could a deviating curvature of spacetime in the "far away field" lead to an accelaration in comparison to the (assumed) vanishing curvature?It's like the difference whether we 1. assume the spacetime to be Minkowskian without matter - just add matter and curvature to the empty flat space or whether we 2. assume the spacetime itself is curved to vanish in the outer regions.

A "vanishing" spacetime (3 space dimensions approximating zero (not 1 = Minkowski, as in the standard model) and time accelarating to infinite) would build a curvature which would lead to an accelaration in comparison to the "Minkowskian outer space" which we assume in the standard model.

If one uses the rotation curves of the outer stars (constant velocity, independent of the distance r to the central mass) to determine the metric (standard form, spherically symmetric) the resulting metric is something like the square root of (r to the power of 3) in time and its inverse in space.

How about that idea?

Have you seen something like that anywhere in the literature?

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