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Is SR a subset of GR ?

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Or is SR a special case of GR where acceleration is equal to zero ?

yup. SR is the special case of general relativity where there is no acceleration. you can use either in that case and you will get the same answers.

Keep in mind that someone at rest in a gravitational field is considered to be in an accelerating reference frame; it's indistinguishable from accelerating at g somewhere far from a gravitational field. Someone in freefall is not.

But what do you mean by subset?

 

The oweral set af cases, including large accelerations and gravitational fields, described by GR. The subset of this set, where accelerations and/or gravitational fields are not large, described by SR.

 

In this sense, the SR is a subset of GR.

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