I What is the significance of slow-roll inflation in cosmology?

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AHSAN MUJTABA
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I have recently studied the slow-roll inflation model. In it, slow-roll inflationary conditions are mentioned in a lot of places(these conditions needed to be satisfied for inflation to happen). I don't really understand the meaning and purpose of slow-roll inflation. I want to know a very simple explanation regarding this. The slow roll parameter(##\epsilon_{H}##) is given by:
##\epsilon_{H}=\frac{\dot{H}}{H}##. For inflation to happen, ##0<\epsilon_{H}>1##.
Can somebody help me with a simple story-like explanation? What exactly is going on here?
##H## is Hubble's parameter in the equation.
 
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Sorry, the slow-roll parameter is: ##\epsilon_{H}=\frac{\dot{H}}{H^{2}}##.
 
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