A Question About Conservation of Energy, the Cosmological Constant and Dark Energy

I am confused about the cosmological constant and dark energy. In the most accepted theory, energy is created as the vacuum of space expands. This contravenes the conservation of energy. The law of conservation of energy does not hold in curved spacetime but isn't our universe flat spacetime ? What am I missing here ?
 
Nope. To the best of our measurements space is flat but spacetime is curved.
Thank you for your reply. Yes, spacetime is curved near a massive object. On a cosmic scale, isn't spacetime broadly flat?
 
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Thank you for your reply. Yes, spacetime is curved near a massive object. On a cosmic scale, isn't spacetime broadly flat?
No, spacetime in the LCDM model is not flat. Just space.
 

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