Note that if you remove the
<pubDate> tag from the rss2 feed, then it will become unvalid.
So you don't want to do that!
If it's empty:
then the feed will still not validate:
> pubDate must be an RFC-822 date-time
So that wouldn't be an option either.
If you want it static, for all items, then you could use e.g.:
add_filter( 'get_post_time', 'wpse_static_rss2_feed_time', 10, 3 );
function wpse_static_rss2_feed_time( $time, $d, $gmt )
if( did_action( 'rss2_head' ) )
$time = 'Thu, 01 Jan 1970 00:00:00 +0000';
where you can modify the static value to your needs.
Similar can be done for the atom feed.
Note the atom feed also has the
<updated> tag that get's it's value from
Here's an example:
add_filter( 'get_post_time', 'wpse_static_atom_feed_time', 10, 3 );
add_filter( 'get_post_modified_time', 'wpse_static_atom_feed_time', 10, 3 );
function wpse_static_atom_feed_time( $time, $d, $gmt )
if( did_action( 'atom_head' ) )
$time = '1970-01-01T00:00:00Z';
Also note the different time format.