To abstain from anointing with Oil is a symbol of mourning, Singapore Anointing Oil Supplier

2 Samuel 14:2

2 So Joab sent someone to Tekoa and had a wise woman brought from there. He said to her, "Pretend you are in mourning. Dress in mourning clothes, and don't use any cosmetic lotions. Act like a woman who has spent many days grieving for the dead.