Jesus on the Rapture:
Then [Jesus] said to his disciples, “The time is coming when you will long to see one of the days of the Son of Man, but you will not see it. People will tell you, ‘There he is!’ or ‘Here he is!’ Do not go running off after them. For the Son of Man in his day will be like the lightning, which flashes and lights up the sky from one end to the other. But first he must suffer many things and be rejected by this generation.
“Just as it was in the days of Noah, so also will it be in the days of the Son of Man. People were eating, drinking, marrying and being given in marriage up to the day Noah entered the ark. Then the flood came and destroyed them all. ...
“I tell you, on that night two people will be in one bed; one will be taken and the other left. Two women will be grinding grain together; one will be taken and the other left.”
--Luke 17:22-26, 34-35
[Jesus said,] “Be dressed ready for service and keep your lamps burning, like servants waiting for their master to return from a wedding banquet, so that when he comes and knocks they can immediately open the door for him. It will be good for those servants whose master finds them watching when he comes. Truly I tell you, he will dress himself to serve, will have them recline at the table and will come and wait on them. It will be good for those servants whose master finds them ready, even if he comes in the middle of the night or toward daybreak. But understand this: If the owner of the house had known at what hour the thief was coming, he would not have let his house be broken into. You also must be ready, because the Son of Man will come at an hour when you do not expect him.”
The apostle Paul on the Rapture:
For the Lord himself will come down from heaven, with a loud command, with the voice of the archangel and with the trumpet call of God, and the dead in Christ will rise first. After that, we who are still alive and are left will be caught up together with them in the clouds to meet the Lord in the air. And so we will be with the Lord forever. Therefore encourage one another with these words.
Now, brothers and sisters, about times and dates we do not need to write to you, for you know very well that the day of the Lord will come like a thief in the night.
--1 Thessalonians 4:16-5:2
The apostle Peter on the Rapture:
Above all, you must understand that in the last days scoffers will come, scoffing and following their own evil desires. They will say, “Where is this ‘coming’ he promised? Ever since our ancestors died, everything goes on as it has since the beginning of creation.” But they deliberately forget that long ago by God’s word the heavens came into being and the earth was formed out of water and by water. By these waters also the world of that time was deluged and destroyed. By the same word the present heavens and earth are reserved for fire, being kept for the day of judgment and destruction of the ungodly.
But do not forget this one thing, dear friends: With the Lord a day is like a thousand years, and a thousand years are like a day. The Lord is not slow in keeping his promise, as some understand slowness. Instead he is patient with you, not wanting anyone to perish, but everyone to come to repentance.
But the day of the Lord will come like a thief. The heavens will disappear with a roar; the elements will be destroyed by fire, and the earth and everything done in it will be laid bare.
Since everything will be destroyed in this way, what kind of people ought you to be? You ought to live holy and godly lives as you look forward to the day of God and speed its coming. That day will bring about the destruction of the heavens by fire, and the elements will melt in the heat. But in keeping with his promise we are looking forward to a new heaven and a new earth, where righteousness dwells.
--2 Peter 3:3-13