"The orbital period of this system is decreasing by 1.2 milliseconds every year. This is a rate consistent with the theory that predicted loss of energy due to gravitational waves.

The system is known as RX J0806.3+1527 or J0806. The white dwarf pair in J0806 might have the smallest orbit of any known binary system. The stars are only about 50,000 miles apart, a fifth of the distance from the Earth to the moon. As the stars swirl closer together, traveling in excess of one million mph, the production of gravitational waves increases.

"If confirmed, J0806 could be one of the brightest sources of gravitational waves in our galaxy," said Tod Strohmayer of NASA's Goddard Space Flight Center, Greenbelt, Md. He presented data today at the American Astronomical Society meeting in Minneapolis.

"It could be among the first to be directly detected with an upcoming space mission called LISA, the Laser Interferometer Space Antenna," he added."
http://www.spacedaily.com/news/gravity-05j.html

Wouldn't this rate decrease as white dwarfs got closer? And if they were instead black holes couldn't they get even closer to one another- and leave a situation of the blacks hole never merging but instead behave like smarm of bees until time ends?