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## Main Question or Discussion Point

Is the following true ?

In flat space, we have a familiar doppler shift formula for two observers moving relative to each other. Suppose they had a relative ,constant acceleration between them.Then their relative velocity is changing with time. Will the doppler shift formula still hold with a time dependent boost velocity ,say 3+ at where a is the relative constant acceleration between the frames and 3 is the initial relative velocity?

if not, then how do we tackle this?

In flat space, we have a familiar doppler shift formula for two observers moving relative to each other. Suppose they had a relative ,constant acceleration between them.Then their relative velocity is changing with time. Will the doppler shift formula still hold with a time dependent boost velocity ,say 3+ at where a is the relative constant acceleration between the frames and 3 is the initial relative velocity?

if not, then how do we tackle this?