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People Reports:
Chris Brown is under investigation for alleged domestic violence felony battery, the LAPD confirms to PEOPLE.

“The identity of the victim will not be released,” said Officer April Harding. “Any victim who’s involved in a domestic violence incident is entitled to confidentiality.”

Officer Harding added: “If police locate Brown, yes, he’s subject to arrest.”

Both Brown and girlfriend Rihanna were scheduled to perform at the Grammys, but this statement was released Sunday evening: “We have just been informed that Rihanna will not be attending tonight’s 51st Annual Grammy Awards. We’re sorry she is unable to join us this evening.”

Around 12:30 a.m. on Sunday, the R&B singer and a woman were in a vehicle in L.A. when they became involved in an argument, according to a police statement. After stopping his car, Brown and the woman got out and the argument escalated. The LAPD received a 911 call reporting the disturbance.

When officers arrived they found the victim, but Brown had already left the scene, the statement reads. The woman suffered visible injuries and identified Brown as her attacker, police say.

The LAPD is conducting an investigation into the incident.

Earlier Saturday night Brown and Rihanna were at the Recording Academy and Clive Davis’s Pre-Grammy Gala in Beverly Hills.

When asked about Rihanna’s well being, her rep told PEOPLE, “Rihanna is well. Thank you for concern and support.”

UPDATE: Chris Brown turned himself in to police, was booked and released. Meanwhile, very connected insiders are whispering that Chris Brown and Rihanna argued when CB was overly friendly with 1 or more R&B singers at a few Grammy parties. The argument allegedly escalated in the car, and CB snapped, grabbing up Rihanna and leaving visible bruises and scratches, and then leaving the scene.

UPDATE 2: TMZ reports:

Rihanna is the named alleged victim in the Chris Brown case and the allegation is that she was assaulted with a deadly weapon.
Law enforcement sources tell us the crime report calls the incident assault with a deadly weapon — we do not yet know the nature of the weapon.”

“So why, you ask, was Chris Brown booked for making criminal threats rather than domestic abuse, given the victim — we’re told Rihanna — had “visible injuries”?
Law enforcement sources tell us they typically book a suspect for the most serious crime they can be charged with – it’s then up to the D.A. to file any additional charges.
Given there were allegedly visible injuries, the crime of making criminal threats is punishable by up to nine years in prison. Domestic abuse is four years.”