Conversation so far:
When did the conquest of Cyprus begin?
1187.
Who was involved?
After Richard became king, he and Philip agreed to go on the Third Crusade, since each feared that during his absence the other might usurp his territories.
Who were the others that he that would usurp his territories?
Philip.
Who was Philip?
Philip II.
Why were they going to Cypress?
Richard swore an oath to renounce his past wickedness in order to show himself worthy to take the cross.
What had he done wrong in the past?
He spent most of his father's treasury.
What happened during the conquest?
He appointed as regents Hugh de Puiset, Bishop of Durham, and William de Mandeville, 3rd Earl of Essex--who soon died and was replaced by Richard's chancellor William Longchamp.
Did the conquest include any battles?
The presence of foreign troops also caused unrest: in October, the people of Messina revolted, demanding that the foreigners leave.
Did Messina succeed?
Richard attacked Messina, capturing it on 4 October 1190.
Were there other battles?
After looting and burning the city Richard established his base there, but this created tension between Richard and Philip Augustus.

Question: Why did it create tension between Richard and Phillip?
Self-contained rewrite: Why did  Conquest of Cyprus create tension between Richard and Phillip?