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Could a suitable coordinate transformation give a different propagation speed of gravitational waves in general relativity?

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Almost all calculations in general relativity are done in local coordinates, is it possible that assuming various coordinate representations could lead to inconsistent predictions?

asked Nov 15, 2018 in Q&A by anonymous [ no revision ]

By construction, the speed of light and GW is always the same and equals $c$ in "vacuum", i.e. in the space outside the matter and regardless the gravity force. However within matter things change both for the speed of light and for GW because of adjoint action of all sources.

commented Nov 15, 2018 by Vladimir Kalitvianski (102 points) [ no revision ]

See this comment. In the first link you will find what is a coordinate speed in the frame of linearized GR and the GW metrics. It is compatible with STR.

commented Nov 27, 2018 by igael (360 points) [ no revision ]

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