Request :
=========
{"$match" : {"name": "re{4}"}},
{ "$graphLookup": {
    "from": "re",
    "startWith": "['component', 'provide_by']",
    "connectFromField": "['component', 'provide_by']",
    "connectToField": "['name', 'connector_name']",
    "as": "component",
    "maxDepth": 1
    }
}

Result :
========
u'_id': ObjectId('587e2df91a206f555d950d99'),
 u'component': [],
 u'name': u're4',
 u'provide_by': u'random_connector_name'}
{u'_id': ObjectId('587e2df91a206f555d950da3'),
 u'component': [],
 u'name': u're4',
 u'provide_by': u'random_connector_name'}
{u'_id': ObjectId('587e2df91a206f555d950dad'),
 u'component': [],
 u'name': u're4',
 u'provide_by': u'random_connector_name'}
{u'_id': ObjectId('587e2dfa1a206f555d950db7'),
 u'component': [],
 u'name': u're4',
 u'provide_by': u'random_connector_name'}
{u'_id': ObjectId('587e2dfa1a206f555d950dc1'),
 u'component': [],
 u'name': u're4',
 u'provide_by': u'random_connector_name'}