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Physics
Special and General Relativity
Gravitational Field Transformations Under Boosted Velocity
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[QUOTE="jbriggs444, post: 6865544, member: 422467"] The metric is an invariant property of the space time. It is the same for all observers. If expressed in coordinate form, the formulas may appear different for different coordinate systems. And perhaps that is what you are trying to get at. But it is still the same identical metric no matter how it is formulated. Curvature is also an invariant property that can be computed at any event in a space time. It derives from the metric. So it does not matter what coordinates you use -- cartesian rest coordinates corresponding to one observer or cartesian rest coordinates corresponding to another. The local space time curvature will be identical for both. However, perhaps none of that is what you have in mind... Perhaps you wish to consider something like a solar system with a one solar mass black hole in the center replacing the sun. You wish to view this solar system using something that is (asymptotically at least) flat Minkowski space time. Against this backdrop, the black hole is moving and you wish to know about the spatial shape of this solar system according to these coordinates -- is the solar system length contracted in the direction of its motion? Yes, I would expect it to be. [/QUOTE]
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Special and General Relativity
Gravitational Field Transformations Under Boosted Velocity
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