I glue paper, with archival wheat paste, to glass to keep the surface rigid for the egg tempera painting. I don’t have experience with other forms of supports. However, I think you’ll find the answers to your question in the following links to the Society of Tempera Painters about supports and how to prepare them. I hope that helps.

Please feel free to ask any further questions you might have and I’d be happy to help. Have fun with the painting!
Cheers
Nat Wildish at DweezelJazz Art

How to I prepare hardboard for tempera painting?

That sounds like a great idea and should work well. I look forward to seeing your egg tempera artwork! I enjoyed looking at your paintings on your website, thank you.

Thanks for dropping by. I don’t have any experience with canvas, and I don’t recall seeing any reference to canvas being used. But it may be possible. I think there are two important criteria:

1. once egg tempera paint has been applied, the surface must always be rigidly flat, otherwise the paint will crack.
2. the surface needs to be smooth, not bumpy, otherwise, in my experience, the egg tempera paint tends to flake off.

So, it might be possible to prepare canvas in such a way as to keep it rigid by gluing it to a support, and to make it smooth with gesso. It’s worth experimenting to see how it works. It’s very exciting to paint with egg tempera because the colors become more and more vivid after painting it. I’d love to hear how it goes and to see your upcoming egg tempera paintings, do you have a web site or blog?