Well as far as I have read and heard, there is no evidence which is physical or I should say archaeological that proves the birth or death of Jesus. Whatever is available as proof are only stories or documents. These could be the writings in Christanity or gospels. All these were scripted after Jesus had died.
It would be very hard to provide physical evidence of anyone's birth from so long ago. Archaeologists and historians believe they know who some of the kings and rulers were and some of the wars that took place around 2,000 years ago. But the point could be made that to prove any of it would require belief in very old documents and artifacts and nobody alive today was there to see it, so how do we really know any of it happened as recorded?
God has actually provided more proof that Jesus is Who He said He was than there has ever been for any other historical figure.
God provided us with a written testimony spanning centuries and many, many different authors, which foretold, in detail, aspects of Jesus' Person, birth, death and even resurrection.
Romans 1:1-3, a book in the New Testament, states that Jesus was promised in the Scriptures before He came.
Paul, a servant of Christ Jesus, called to be an apostle and set apart for the gospel of God— the gospel he promised beforehand through his prophets in the Holy Scriptures regarding his Son...
No one else in history, to my knowledge, has such a record of having had so many prophecies given, by those who claimed God had led them directly to write what they wrote. And no one else has come close to fulfilling specific prophecies like these. Yet even with so much evidence, most people would rather believe more in the historicity of the Roman Emperor than they would in the proof of prophecies fulfilled.
Here are some links to anyone who wants to see for themselves. I'm also including some excerpts:
https://jewsforjesus.org/jewish-resources/messianic-prophecy/
Messiah will die before AD 70
According to the Jewish Scriptures, the Messiah will come before the temple is destroyed. The Second Temple was destroyed in AD 70 which logically means that if God’s promises to send a redeemer to Israel may trusted, then the Messiah must have come before its destruction.
Throughout the Jewish Scriptures, the Messiah is referred to as “the root of Jesse” (Isaiah 11:10), one who will reign on the “throne of David” (Isaiah 9:7, Jeremiah 17:25; 22:2, 4, and 30), along with other titles describing his role and Davidic lineage. The only text in the Jewish Bible where the term haMashiach (the Messiah) is found is in Daniel 9:24-26:
You must know and understand: From the issuance of the word to restore and rebuild Jerusalem until the anointed leader [Messiah] is seven weeks; and sixty-two weeks it will be rebuilt . . . in a time of distress. And after those sixty-two weeks, the anointed one [Messiah] will disappear and vanish. The army of a leader who is to come will destroy the city and the sanctuary. (Daniel 9:25-26, JPS)
Context of Daniel’s prophetic writing
Daniel was a young man when he was taken to Babylon (modern day Iraq) by Nebuchadnezzar in 586 BC. At the time, Nebuchadnezzar destroyed the First Temple, and carried most of the inhabitants into exile. In chapter 9, Daniel is now an old man and asks God when the city of Jerusalem, and the temple (sanctuary) will be rebuilt. God answers Daniel through a prophecy. He is given a chronology of events. These are the sequence of events described in Daniel 9: (1) the temple will be rebuilt in times of trouble, (2) the Messiah will arrive, (3) the Messiah will be cut off or be killed, and (4) after his death, Jerusalem and the temple will be destroyed by an army.
The Hebrew word translated “anointed” is the word mashiach. This word is used generically in the Bible to describe one who has been anointed. However, in this passage it is describing a promised royal king or prince מָשִׁיחַ נָגִיד mashiach nagid who is to come. The passage says that King Messiah will be cut down or destroyed:
יִכָּרֵת מָשִׁיחַ וְאֵין לֹו
Yikarat mashiach v’ein lo
https://www.jesusfilm.org/blog-and-stories/old-testament-prophecies.html
24. The Messiah will have a throne that is everlasting
Prophecy:
"In my vision at night I looked, and there before me was one like a son of man, coming with the clouds of heaven. He approached the Ancient of Days and was led into his presence. He was given authority, glory and sovereign power; all nations and peoples of every language worshiped him. His dominion is an everlasting dominion that will not pass away, and his kingdom is one that will never be destroyed" (Daniel 7:13–14).
Fulfillment:
"You will conceive and give birth to a son, and you are to call him Jesus. He will be great and will be called the Son of the Most High. The Lord God will give him the throne of his father David, and he will reign over Jacob's descendants forever; his kingdom will never end" (Luke 1:31–33).
25. The Messiah will bring an end to sin
Prophecy:
"Seventy 'sevens' are decreed for your people and your holy city to finish transgression, to put an end to sin, to atone for wickedness, to bring in everlasting righteousness, to seal up vision and prophecy and to anoint the Most Holy Place" (Daniel 9:24).
Fulfillment:
"Know and understand this: From the time the word goes out to restore and rebuild Jerusalem until the Anointed One, the ruler, comes, there will be seven ‘sevens,’ and sixty-two ‘sevens.’ It will be rebuilt with streets and a trench, but in times of trouble. After the sixty-two ‘sevens,’ the Anointed One will be put to death and will have nothing. The people of the ruler who will come will destroy the city and the sanctuary. The end will come like a flood: War will continue until the end, and desolations have been decreed" (Daniel 9:25–26).
"Grace and peace to you from God our Father and the Lord Jesus Christ, who gave himself for our sins to rescue us from the present evil age, according to the will of our God and Father, to whom be glory for ever and ever. Amen" (Galatians 1:3–5).
https://www.blueletterbible.org/Com...-fulfill-the-prophecies-about-the-messiah.cfm
Summary – Question 4
Did Jesus Fulfill the Prophecies about the Messiah?
Jesus Christ claimed that the Old Testament, or Hebrew Scriptures, spoke of Him. Indeed, He claimed to have fulfilled the predictions of the coming Messiah. The evidence says that He did indeed do this.
Jesus told the religious leaders to search the Scriptures and discover where they spoke about Him. From the Old Testament we find that the coming Messiah was to be born in one particular family. This would be through Shem, Abraham, Isaac, Jacob, Judah, and David. The New Testament is clear that Jesus was a descendant of David. This means that Jesus was born in the proper family to have the credentials of the Messiah.
The Old Testament prophet Micah predicted the Messiah would be born in the small town of Bethlehem. Matthew tells us that Jesus was born in Bethlehem. Again, Jesus fulfilled that which was predicted.
Daniel the prophet said the Messiah would be killed before the city of Jerusalem and the temple were destroyed. This assumes that the Messiah would come and that the city and temple would again be destroyed.
Daniel was correct. Jesus Christ came upon the scene of history before the destruction of Jerusalem and the temple. He was crucified about forty years before they were destroyed.
We note that the prophecies that Jesus fulfilled were fulfilled literally. He was a literal descendant of David, literally born in Bethlehem, and literally died before the city and temple were destroyed.
Furthermore, these three lines of prophecy were all fulfilled by Jesus’ birth. There is no way, humanly speaking, that He could have deliberately fulfilled them. Yet Jesus fulfilled them as they were written.
In sum, the coming of the Messiah was predicted in the Old Testament. Jesus fulfilled these prophecies and, in doing so, has the right to claim to be the promised Messiah.
https://jewsforjesus.org/answers/top-40-most-helpful-messianic-prophecies/
13) The Messiah would be pierced
Hebrew Scriptures reference: Zechariah 12:10
New Testament citations: Matthew 24:30, John 19:31-37, Revelation 1:7
Commentary: In Zechariah 12 we find a prophecy of Judah’s victory over the nations—a victory possible because God has extended his protection to them. At that time also, according to verse 10, a “spirit of grace” will come on the people as they look on (apparently) God himself, “whom they have pierced,” and as they are mourning “as one weeps over a firstborn.”