A family member of an EU/EEA citizen exercising their right of free movement pursuant to Directive 2004/38/EC is entitled to travel with, or join, their family member within the EU/EEA Member States for the purpose of settlement.
The following definition of a family member can be found in the Directive:
Please note that a Union citizen in this sense is an EU/EES citizen who moved to or reside in a Member State other than that of which they are a national.
Basic facts
You can apply for a short-stay Schengen visa (type C) which will permit you to enter and stay in the Schengen area for up to 90 days. Applications for Schengen visas for this purpose is free of charge; service fees may be applicable if the application is handed in at VFS.
In the event that you wish to remain in the Schengen area for more than 90 days as a family member of an EU/EEA citizen exercising their free movement rights, you must apply for a Residence Card in the Member State. Information about how to apply is available on the Family of EU/EEA citizens who want to apply for a residence card – Swedish Migration Agency
Required documents:
It is generally not necessary to submit any other documentation, although the Embassy strongly recommends that you always travel with a valid travel insurance.
More information
Directive 2004/38/EC
EUR-Lex - 32004L0038 - EN - EUR-Lex (europa.eu)