Is my Facebook profile name the only way I could be found at the search tab?I ask this because my artist name is also well known and I want to be found as my artist name wich is Coshka. My facebook name is erick peniche
That's right. Spotify no longer merges artist pages with user profiles, so you can't change the display name of your profile to your artist name.
You could create a brand new account though: https://spotify.com/signup.