Jude Law Dating Sienna Miller Look-a-like

'Alfie' actor is dating American socialite Kim Hersov - who works in London as the editor-at-large for Britain's Harper's Bazaar –

"They met a couple of months ago and the relationship has been developing slowly," a friend of the actor tells PEOPLE.

Law and Hersov have been taking in the
amazing sights and impressive landmarks during their getaway.

The couple - who were seen on a string of dates in February - were seen
touring a historic fort in Rajasthan where they marvelled at a 50 tonne
cannon, the largest weapon of its kind.

Onlookers were amazed by how much 38-year-old Kim looks like Jude's
ex-girlfriend Sienna Miller.

The stunning divorcee has two sons, aged seven and ten, with her ex-husband private jet tycoon Robert Hersov.

Jude - who split from Sienna in November last year - also has two children
with his ex-wife Sadie Frost.