If you are using LocalDB and want to create an empty database you should perform the following steps.

1. Go to Visual Studio Server Explorer | Data Connections
2. Select Add Connection from the context menu
3. Change Data Source to Microsoft SQL Server Database File (i.e. LocalDB)
4. Set the Database file name by entering a database name and path that corresponds to the name in the web.config/app.config connectionstring.
   Replace |DataDirectory| with path to the place the database file should be created at (i.e. App_Data)
5. Select Advanced and set the properties according to the following example connection string

   Data Source=(localdb)\v11.0; Initial Catalog=Arbitrary; Integrated Security=True; MultipleActiveResultSets=True; AttachDbFilename=C:\PATH\TO\Arbitrary.mdf