Provided are an additive composition for lubricating oil and a method for using the same. 【Solution means】 The present invention relates to (A) a (per)fluoropolyether
polymer [PFPE
polymer add having a first chain end and a second chain end respectively bonded to both ends of a (per)fluoropolyether chain [PFPE chain add , wherein at least one (per)fluoropolyether
polymer [PFPE polymer add contains a first chain end having a group of the formula -C(O)NR a R b (wherein R a and R b are each independently selected from
hydrogen, a linear or branched C1-C6
alkyl group), and the second chain end is a C1-C6 (per)fluoroalkyl group, -CF2C(O)CF3, and -C(OH)2CF3, -C(O)NR a R b (wherein R a and R b are each independently selected from
hydrogen, a linear or branched C1-C6
alkyl group), -C(O)OR c (wherein R c is a linear or branched C1-C6
alkyl group), and relates to an additive composition containing at least one (per)fluoropolyether polymer [PFPE polymer add ; and (B) a fluorescent dye of the formula (I) (e.g., a
rhodamine dye) in an amount of 0.01 to 25.0% by weight based on the weight of component (A). The present invention also relates to the use of the additive composition in a mixture with a hydrogenated or fluorinated lubricating oil. This additive composition can impart both
rust prevention properties and fluorescent properties to the lubricating oil.