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Einstein based this new theory on the general principle of relativity, and he named the theory after the underlying principle.
It thus satisfies a more stringent general principle of relativity, namely that the laws of physics are the same for all observers.
Linear frame dragging is the similarly inevitable result of the general principle of relativity, applied to linear momentum.
As the situation is modeled in finer detail, using the general principle of relativity, the concept of a frame-dependent gravitational field becomes less realistic.
This invariance can be described in many ways, for example, in terms of local Lorentz covariance, the general principle of relativity, or diffeomorphism covariance.
One thing, however, seems certain: namely, that the general principle of relativity will prove a necessary and effective tool for the solution of the problem of the total field.
Rotational frame-dragging (the Lense-Thirring effect) appears in the general principle of relativity and similar theories in the vicinity of rotating massive objects.
Available parameters are thus reduced, from the 16 needed to express all transformations in a curved spacetime, per the general principle of relativity, x/ x, to the 10 of the Poincaré group.
The general theory of relativity is as yet incomplete inso- far as it has been able to apply the general principle of relativity satisfactorily only to gravitational fields, but not to the total field.
In theories that apply the principle of relativity to inertial motion, physics is the same in all inertial frames, and is even the same in all frames under the general principle of relativity.
This theory is based on principles like the equivalence principle, the general principle of relativity, the principle of general covariance, geodesic motion, local Lorentz covariance (the laws of special relativity apply locally for all inertial observers), and that spacetime curvature is created by stress-energy within the spacetime.
According to the general principle of relativity, rotation is a relative property, and a state of motion that a satellite senses as being "absolutely non-rotating" is a local state, dictated partly by the relative rotation of the background stars, but also partly by the rotation of the body that the satellite orbits.