How is Lorentz Contraction Manifested in a Distant Supernova?

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Some time ago i posted a question about what happen with a supernova ocurring on a distant galaxy that was recessing from Earth at relativistic velocity, and the conclusion was that a distant supernova has a light curve much more slower than a nearby,
but then a new question arises to me, ¿what happen with the lorentz contraction in this case, how is it manifested or detected, is true that wherever there is time dilation necessarily there should be lorentz contraction?

jpam
 
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