The official documentation covers how to share authentication cookies. Maybe the docs have what you're looking for.
https://learn.microsoft.com/en-us/aspnet/core/security/cookie-sharing?view=aspnetcore-8.0
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I have web application in .net framework 4.7.2.
Now I am upgrading it to .net core 6.
I want to share user authentication from old app to new .net core 6 app.
But I am not able to access claims data in new .net core 6 upgraded application using system.web.adaptor.
The official documentation covers how to share authentication cookies. Maybe the docs have what you're looking for.
https://learn.microsoft.com/en-us/aspnet/core/security/cookie-sharing?view=aspnetcore-8.0