Jay Z and Beyonce
Jay Z and Beyonce arrive at the Metropolitan Museum of Art Costume Institute Gala Benefit in New YorkReuters

It looks like divorce is inevitable for celebrity couple Beyonce and Jay Z, if reports are anything to go by.

The duo is trying to project a happy face by getting intimate onstage and posting pictures on social media sites but they are understood to be not on talking terms, away from the limelight.

The couple is currently together on "On the Run" tour, which is said to be worth millions of dollars. But it has been reported that once the tour is over, they may live separately or even resort to divorce.

"There's face-saving involved - they don't want to be looked at like other celebrities out there," Page Six quoted a source. "They are business people first, entertainers second. Husband and wife comes somewhere down the line."

"There's still something there, even though it's not going to last," the source added. "Business is always part of the equation. They know they're the king and queen of hip-hop - and really, all of music. Neither wants to lose that."

It is also reported that the couple is travelling with marriage counselors, though it's not been confirmed yet.

Hollywood Life quoted a source, saying that the couple is barely speaking to each other. "After they perform they go off separately," adding: "There's a ton of tension, they're not happy. It's all for the cameras."

Did Jay Z's plan to meet Rihanna cause the elevator fight?

The elevator fight between Beyonce's sister Solange and Jay Z back in May had sparked off several speculations about the celebrity couple's marriage.

Beyonce was in the elevator when the fight happened but did nothing to prevent Solange from attacking Jay Z, sending out a clear hint that she was not happy with her husband.

While reports were doing the rounds that Jay Z's relationship with designer Rachel Roy was the reason for the altercation, Page Six has now claimed that the rapper's plan to meet his protege Rihanna, at his 40/40 club after the Met Ball, was real reason for the fight.

"Solange was like, 'Enough is enough - you must be [screwing] Rihanna,'" Page Six quoted a source. "To many people who know them, they know it's not out of the realm of possibility."

There were also rumours that Jay Z cheated on his wife with British singer Rita Ora ever since he signed her to his Roc Nation label in 2009. However, Ora rubbished the reports, by saying that she would not even dare to respect Beyonce.

Meanwhile, Beyonce has had her share of controversy as well, with several reports questioning her closeness to her bodyguard Julius De Boer, a Dutch native who has been protecting her at big events since 2009. It is reported that Jay Z is suspicious of their relationship.

"Jay definitely thinks that there was and may still be something romantic going on between Bey and Julius," MStars News quoted a source. "He wanted to fire Julius last February, but BeyoncĂ© said, 'Julius isn't going anywhere.'"

Beyonce and Jay Z tied the knot in 2008 after dating for six years, and have a daughter Blue Ivy Carter.