Will everyone be judged - believers and non-believers? Who is responsible to the judgement seat of Christ?
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What does the Bible mean by Resurrection? Dead people coming to life again, as the Lord Jesus did when he rose from the dead. (See Revelation 1:5; Colossians 1:18; Acts 26:23; 1 Corinthians 15:20).
When will the resurrection take place? When the Lord Jesus comes back to the earth. (See 1 Thessalonians 4:16; John 5:28-29; 1 Corinthians 15:23).
Will those who come out of the grave be judged? We must all appear before Christ, the great Judge of all. He will decide who are worthy of everlasting life and who are unworthy. (See Romans 14:10; 2 Corinthians 5:10; 1 Peter 4:6; Daniel 12:2; Revelation 20:11-15).
Will everyone who has ever lived be raised from the dead and judged by Jesus Christ? It is God’s right to raise whoever he will, but the Bible says only that "many who sleep in the dust will rise" (Daniel 12:2) and also that some "will not rise" (Isaiah 26:14; 43:17). It seems that those who have never learned about God will not be raised simply to be destroyed, while those that have heard about God and know that they should obey Christ will. (See John 12:48; Deuteronomy 18:18-19; Matthew 25:14-30; Mark 16:15,16; Romans 2:12).
What will happen to those who are not raised from the dead? They will never rise from their graves, but will remain dead for ever. (See Psalm 49:20; Proverbs 21:16; Isaiah 26:14; 43:17).
Here are links to information on the website which will help you with this question:
Heaven and Hell: www.thisisyourbible.com/library/show/41
After Death, What? www.thisisyourbible.com/library/show/43
I hope you have found this helpful.