"Behold, a son shall be born to you who shall be a man of rest. I will give him rest from all his surrounding enemies. For his name shall be Solomon, and I will give peace and quiet to Israel in his days. He shall build a house for my name. He shall be my son, and I will be his father, and I will establish his royal throne in Israel forever."
As usual, it's best to lift the veil and interpret OT passages according to NT revelation, that is, Christologically. This little passage about Solomon then should be approached typologically. The interesting thing here to me is that we often think of Christ in His second advent as the Conquering King, the typology that is applicable to David, while it is also in the second advent that He will fully take on His role as Prince of Peace. This is the typology of Solomon. “Solomon” means peaceful, and he was son of the king, making his title Prince Peaceful.
As well, compare Heb. 3-4. The author indicates that the rest of the land, promised here to Solomon, was really a prefiguring of the believer's rest in Christ. In all of Israel's history, the only extended time of rest in the land occurred under Solomon; all the judges and the rest of the kings had to deal with constant threat or warfare, not to speak of the later times of gentile domination or dispersion. Through Solomon God presented a prefiguring of the kingdom under Christ.
In v. 10 the promise extends beyond Solomon, the type, to Jesus, the antitype. If you, like me, interpret the genealogy of Matthew to be Joseph's and the genealogy of Luke to be Mary's, you will see that Jesus' bloodline to David split away from the kingly line at his sons, that is, went through Nathan instead of Solomon. So the men who sat on the throne after David did not carry the seed, and the promises of v. 10 are not really applicable to Solomon, only to Christ. Therefore, the building of the house refers to the Church, not the temple, and the promise that God would be his Father indicates David's Son, not his son. Again, Solomon is a type, but the real message is about the antitype, Jesus.
