Have you heard of Academia.edu and ResearchGate? Both are more focused on research, and less on employment opportunities, compared to LinkedIn. They're websites where you can profile your own research, list your publications, or just find like-minded researchers to discuss common interests.
For example, if you were a music teacher, you might have found these discussions interesting - they all came up today:-
Click on the link to Academia.edu above, and enter a keyword connected with your research into the box at the top of the page. This is just a screenshot:-