Why does some christians believed the second coming of Christ and the rapture?

All religions are good, but they were the needs of he past. Now Science has collected reliable and conformable data about the Nature around and about the Universe, origin of life, natural forces that control the functioning of the Universe etc. So, all the religions should be re-viewed through the magnifying lens of Science and the scriptures should be re-written

We should be deists

(Revelation 6:2) And I saw, and look! a white horse, and the one seated on it had a bow; and a crown was given him, and he went out conquering and to complete his conquest.

He is coming in spiritual form...

To destroy wickedness...

Satan is to be locked up.

(Revelation 20:2) He seized the dragon, the original serpent, who is the Devil and Satan, and bound him for 1,000 years.

(Revelation 20:3) And he hurled him into the abyss and shut it and sealed it over him, so that he would not mislead the nations anymore until the 1,000 years were ended. After this he must be released for a little while.

Because that is what the Bible teaches.

After Jesus ascended into heaven, the angels declared to the apostles, “‘Men of Galilee,’ they said, ‘why do you stand here looking into the sky? This same Jesus, who has been taken from you into heaven, will come back in the same way you have seen him go into heaven’” (Acts 1:11). Zechariah 14:4 identifies the location of the second coming as the Mount of Olives. Matthew 24:30 declares, “At that time the sign of the Son of Man will appear in the sky, and all the nations of the earth will mourn. They will see the Son of Man coming on the clouds of the sky, with power and great glory.” Titus 2:13 describes the second coming as a “glorious appearing.”

The second coming is spoken of in greatest detail in Revelation 19:11-16, “I saw heaven standing open and there before me was a white horse, whose rider is called Faithful and True. With justice he judges and makes war. His eyes are like blazing fire, and on his head are many crowns. He has a name written on him that no one knows but he himself. He is dressed in a robe dipped in blood, and his name is the Word of God. The armies of heaven were following him, riding on white horses and dressed in fine linen, white and clean. Out of his mouth comes a sharp sword with which to strike down the nations. ‘He will rule them with an iron scepter.’ He treads the winepress of the fury of the wrath of God Almighty. On his robe and on his thigh he has this name written: KING OF KINGS AND LORD OF LORDS.”

The rapture is described primarily in 1 Thessalonians 4:13–18 and 1 Corinthians 15:50–54. God will resurrect all believers who have died, give them glorified bodies, and take them from the earth, along with all living believers, who will also be given glorified bodies at that time. “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” (1 Thessalonians 4:16–17).

Why don't you use either proper grammar or your native language?

The Second Coming of Christ is a belief that's universal to Christianity, and even to Islam. However, the belief in the Rapture is is a belief of a small minority of Christians. I cannot account for that minority belief, because I don't share it.

However, here is a scriptural explanation of the Second Coming prophecies. Matthew 24:27-30 specifies that the sign of Jesus would be in heaven, and that he would be seen in the clouds of heaven, but also explains that the manner in which every eye would see Jesus is indirectly, as the flash from lightning that's obscured by clouds is visible, reflected from the opposite direction, and as a carcass could be spotted by the scavengers clustered around it:

"27 For as the lightning cometh out of the east, and shineth even unto the west; so shall also the coming of the Son of man be. 28 For wheresoever the carcase is, there will the eagles be gathered together.

29 Immediately after the tribulation of those days shall the sun be darkened, and the moon shall not give her light, and the stars shall fall from heaven, and the powers of the heavens shall be shaken: 30 And then shall appear the sign of the Son of man in heaven: and then shall all the tribes of the earth mourn, and they shall see the Son of man coming in the clouds of heaven with power and great glory." (KJV)

In verse 23, he also said not to believe it, if anyone says, "here is Christ". Jesus described so thoroughly the sign of his presence in Matthew 24, but if he were physically visible, what would be the point of giving us this sign?

Acts 1:9-11 also specifies that Jesus was obscured by clouds as he left, and that he would return in the same way:

"9 And when he had spoken these things, while they beheld, he was taken up; and a cloud received him out of their sight. 10 And while they looked stedfastly toward heaven as he went up, behold, two men stood by them in white apparel; 11 Which also said, Ye men of Galilee, why stand ye gazing up into heaven? this same Jesus, which is taken up from you into heaven, shall so come in like manner as ye have seen him go into heaven." (KJV)

Likewise, Revelation 1:7:

"Behold, he cometh with clouds; and every eye shall see him, and they also which pierced him: and all kindreds of the earth shall wail because of him. Even so, Amen." (KJV)

Everyone sees the sign, but most ignore it while waiting for a physically visible Jesus. Like the Pharisees, the kingdom of God is in their collective midst, but "cometh not with observation":

"20And when he was demanded of the Pharisees, when the kingdom of God should come, he answered them and said, The kingdom of God cometh not with observation: 21Neither shall they say, Lo here! or, lo there! for, behold, the kingdom of God is within you." - Luke 17 (KJV)

The Koine Greek ὑμῶν (hymōn), correctly translated as "you", within whom Jesus said the kingdom is, is in the plural, meaning all of them as a group, rather than each of them as individuals. Just as Jesus stood within the group of those Pharisees, citizens of God's Kingdom are among people today, such as those who quote Luke 17 to proclaim that the Kingdom of God is within each of them, as if it had been within each of the Pharisees then!

Immediately after that:

"22And he said unto the disciples, The days will come, when ye shall desire to see one of the days of the Son of man, and ye shall not see it. 23And they shall say to you, See here; or, see there: go not after them, nor follow them. 24For as the lightning, that lighteneth out of the one part under heaven, shineth unto the other part under heaven; so shall also the Son of man be in his day."