BAND ON THE RUN: Archaeologists cannot find any trace of King David or King Solomon. If these kings existed, there would be garbage from their period. Ruins would exist. They excavated way below that layer. Barring some magical happening, most of these Bible never existed. Another theory is that they are imports from surrounding religions, reworked and renamed for a Hebrew Bible.
LARS: This is just not a true statement. Case in point, David conquered the Philistines. There is evidence of the end of the Philistine pottery period "well into the 10th Century BCE" found by archaeologists. That is, from 900-950 BCE. So why isn't that evidence for David? It is! So why are you saying there is "no evidence." Now some say there is no evidence because they use the Persian-revised timeline that dates Solomon's rule from 970-930 BCE and David from 1010-970 BCE. Now that dating, indeed, conflicts with David being responsible for the end of the Philistine pottery period which archaeologists think ended a little later. But that's based on the incorrect timeline and incorrect assignment of the Assyrian eponym eclipse now dated to 763 BCE. One theory is that this eclipse reference actually is to the 709 BCE eclipse. The only criteria for this solar eclipse is that it falls in month 3, Siminau. You can alternatively date month 3 in 763 BCE or 709 BCE; only if you date it in 763 BCE you have to begin the new year before the Spring equinox, which was exceptional. The more common dating reflects the third month beginning when the new moon occurs after the Spring equinox, which is the case of the 709 BCE eclipse. So the 709 BCE eclipse starts out with an edge of credibility in its favor vs. the 763 BCE. But being as that may be, when we use the 709 BCE eclipse to date the Assyrian Period, the rule of Solomon occurs from 910-870 BCE and David's rule from 950-910 BCE. That means, based upon archaeological dating, David would be the ruler responsible for the end of the Philistine pottery period which ends from 975-950 BCE. So there's your evidence for David!
Same with Solomon. Solomon was allegedly rich and specifically built at Megiddo, Hazor and Gezer. There we find identical gates which many ascribe to Solomon. Also at Megiddo we find huge palaces using ashlar stones which is evidence of a centralized government. Israel Finkelstein says this period was worthy of Solomon showing a time of "full statehood", etc. So it is not as if the archaeologists went to Middle East region and found no great buildings worthy of Solomon! There IS evidence of a wealthy period of prosperity and building in the region. But archaeologists who are not chronologists, trust the secular timeline and use their dates for dating David and Solomon. In this case, they use the incorrect eclipse in 763 BCE to date Solomon from 970-910 BCE. The buildings at Megiddo are dated by archaeology a little later, that is, to the "early 9th century BCE" (900-867 BCE). But if you do as above and correct the Assyrian Period by assigning the solar eclipse to 709 BCE, Solomon's rule occurs from 910-870 BCE which means he would have been ruling when these buildings were built!
So anyone saying "there is no archaeological evidence of David or Solomon" is just someone who is not informed. It's just a JOKE! There is plenty of archaeological evidence of David and Solomon, but you have to get the timeline right.
The Bible's timeline can now be determined using 1947, the beginning of the 70th jubilee for the Jews. This date requires the Exodus to occur in 1386 BCE and Solomon's rule from 910-870 BCE. For some strange reason, that is EXACTLY the same dating you get when you use the 709 BCE Siminau solar eclipse to date the Assyrian Period instead of the incorrectly dated 763 BCE eclipse.
So whether the Bible is true or not, is entirely subjective. If you use fabricated and incorrect timelines, then the Bible seems not to be credible. If you use the strict Bible timeline, then archaeology aligns with the Bible perfectly. So we end up with two groups of people. Those who think the Bible is not true because they don't know the Bible, and those who know the Bible is true, confirmed by archaeological evidence.