How did Odin rebuild the Bifrost?

Odin sends Thor to Earth using dark energy. Then Thor extracts the tesseract and uses it to rebuild the Bifrost. There was no other way of doing it.

How did the Rainbow Bridge get fixed in Thor?

After the Chitauri Invasion, Thor and Loki transported themselves back to Asgard using the Tesseract. Heimdall used the Tesseract’s power to repair the Rainbow Bridge, allowing Asgard to harness the Bifrost once more, and transported the armies of Asgard across space to quell the uprisings.

When was the Bifrost fixed?

However, in the sequel Thor: The Dark World (2013), the Bifröst had already been restored at the beginning of the film and it is never addressed just how the bridge between worlds was fixed.

How was the Bifrost created?

Origin. The Bifrost was built by an unnamed wizard who was studying traveling across planes.