(Cover) - EN Showbiz - Alexander Skarsgrd reportedly visited "a geisha bathhouse" with his co-star Rihanna recently.

The pair star alongside each other in upcoming action film Battleship. Alexander and Rihanna have embarked on international promotions for the feature in recent weeks.

While in Tokyo in April, a witness claims the duo got extra comfortable with one another.

"They went to a geisha bathhouse," a source told Life & Style magazine. "They were drinking, and before you knew it they were in a corner getting hot and heavy."

Alexander has also been romantically linked to Charlize Theron. Apparently the actor is also wining and dining Italian skydiver Roberta Mancino.

"He and Roberta have been seeing each other for a few months," another source revealed to the publication. "He's been courting her and taking her out to dinner a lot. It's not a serious relationship, but they look forward to hanging out together even more. They really like each other."

Alexander has spoken previously about the lengths he will go to woo a woman.

"I've not broken the law I hate to disappoint you," he told UK magazine Cosmopolitan. "But I am a romantic I think it's in the little things." (C) Cover Media