To add a constraint to a column It needs to exists first into the table there is no command in Postgresql that you can use that will add the column and add the constraint at the same time. It must be two separate commands. You can do it using following commands:
First do as:
ALTER TABLE links_chatpicmessage ADD COLUMN sender INTEGER;
I use integer
as type here but it should be the same type of the id
column of the auth_user
table.
Then you add the constraint
ALTER TABLE links_chatpicmessage
ADD CONSTRAINT fk_someName
FOREIGN KEY (sender)
REFERENCES auth_user(column_referenced_name);
The ADD CONSTRAINT fk_someName
part of this command is naming your constraint so if you latter on need to document it with some tool that create your model you will have a named constraint instead of a random name.
Also it serves to administrators purposes so A DBA know that constraint is from that table.
Usually we name it with some hint about where it came from to where it references on your case it would be fk_links_chatpicmessage_auth_user
so anyone that sees this name will know exactly what this constraint is without do complex query on the INFORMATION_SCHEMA to find out.
EDIT
As mentioned by @btubbs's answer you can actually add a column with a constraint in one command. Like so:
alter table links_chatpicmessage
add column sender integer,
add constraint fk_test
foreign key (sender)
references auth_user (id);
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