According to this Mashable article, Facebook only recently started supporting GIF support.
From the article, here's how it works: "you need to paste a GIF file link into the "status update" screen"
Also "make sure you're using the full GIF url from Giphy or other GIF services".
So, all this is all right for the situations in which you want to share a GIF that's already hosted on a GIF hosting website such as GIPHY, Imgur, GFYcat and others: you copy the link, and paste it, and voilà.
But if you're the original author of the GIF and want to share something not hosted? "No GIF uploads" says the article.
So I hosted my test GIF file on my own website at this address: http://fabulousrice.com/images/uploads/works/hairy.gif
Then pasted the address in the "Status Update" field, and clicked "Post".
The result didn't work, in the way that not only the GIF turned into a still image on my Facebook Feed, but the GIF file also couldn't even be played from Facebook, only after being redirected to the the original URL:
(this is just a screenshot, but wasn't animated IRL)
Note how there isn't even a "GIF" button in the middle to play it, such as the one seen here on the Mashable article:
I tried with another URL that ends also in GIF, but from GIPHY this time: http://i.giphy.com/3o6UBpHgaXFDNAuttm.gif
And this time it worked!
(this is just a screenshot but was animated IRL).
In both of my examples, I used the same approach by pasting a GIF file's URL to the Status Update box on Facebook. But only one of them worked.
What makes the two URLs ending in .GIF different in the eyes of Facebook?
And how can I upload my work to Facebook as animated GIFs that play within the Feed, if I don't feel like uploading my GIFs to GIPHY, or Imgurl, or any other of these websites?
I have seen other questions on that subject here, but they were from 2010-2011, and I believe that they are now obsolete.