Yeah, if you look in the GalacticEventDefs.xml you have:
<GameEvent>
<InternalName>SlowdownEvent</InternalName>
<DisplayName>SlowdownEvent_Name</DisplayName>
<Description>SlowdownEvent_Dec</Description>
<ArtDefine>Galaxtic_Event_World2.png</ArtDefine>
<Type>GalacticEvent</Type>
<Weight>50</Weight>
<Trigger>
<OnEvent>OnEventChoice</OnEvent>
<Target>
<TargetType>Faction</TargetType>
</Target>
<Lifetime>Target</Lifetime>
<RandomDurationMin>10</RandomDurationMin>
<RandomDurationMax>15</RandomDurationMax>
<Modifier>
<EffectType>MovesCap</EffectType>
<Scope>Global</Scope>
<Target>
<TargetType>Ship</TargetType>
</Target>
<BonusType>Multiplier</BonusType>
<Value>-0.25</Value>
</Modifier>
</Trigger>
</GameEvent>
I actually had that event in my last game, and it did go away after a number of turns.
What they really need to do is have a splash screen tell you when the event is over, like they did in GalCiv2.