On 12/11/2017 2:19 PM, [email protected] wrote:
What is the connection between the Equivalence Principle and Einstein's Field Equations?It led to the idea that force-free paths in space could be geodesic paths in spacetime, so the apparent acceleration falling objects could be modelled by geodesic paths in curved spacetime.*Insofar as acceleration results / causes curved paths in space-time, as seen by a simple space-time diagram, one can invoke the EP to link acceleration to gravity -- but we already knew that! So what gave Einstein the idea that gravity warps space-time? AG *
Gravity causes acceleration in the Newtonian sense. But if spacetime is warped this apparent curvature can be inertial motion. The advantage of this view is it automatically entails that everything falls with the same "acceleration" per the Etovos results.
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