After Solomon, the United Monarchy falls apart.
Jerusalem is the capital of Judah, the southern Kingdom, which is led by Rehoboam. Its inhabitants are the tribes of Judah, Benjamin, and Simeon (and some Levi). Simeon and Judah later merge.
Jeroboam leads a revolt of the northern tribes to form the Kingdom of Israel. The 9 tribes that make up Israel are Zebulun, Issachar, Asher, Naphtali, Dan, Menasseh, Ephraim, Reuben and Gad (and some Levi). The capital of Israel is Samaria.