Two massive bodies orbit one another - the interaction is gravitational. As their positions change, the gravitational field due to their mass-energy must change. But it can't change instantaneously at distant points; the change propagates outward at the speed of light. This is a wave in the metric of space time and it carries energy. The energy comes from the orbiting bodies mass-energy so the final black hole has less mass than the constituents.

Brent

On 2/12/2016 10:00 PM, Terren Suydam wrote:
Sure, but John said the black holes lost 3 solar masses, which was converted into gravitational waves... how? Fusion and fission are easy examples of mass to energy conversion - so what's the specific interaction here according to theory?

On Fri, Feb 12, 2016 at 10:49 PM, Brent Meeker <[email protected] <mailto:[email protected]>> wrote:

    The interaction is gravitational. The first experimental evidence
    for gravitational waves was the correct derivation of the observed
    orbital decay of a double star due to energy radiated as
    gravitational waves.

    Brent


    On 2/12/2016 4:57 AM, Terren Suydam wrote:
    I thought the gravitational waves were generated as the black
    holes rotated around one another, not (merely) as a consequence
    of the collision. Also, what kinds of interactions transfer the
    energy/mass of the black holes themselves into gravitational
    waves?  I wasn't aware that any energy was "spent" creating a
    gravitational wave, much less three solar-masses worth, in this
    case.



    On Thu, Feb 11, 2016 at 8:23 PM, John Clark <[email protected]
    <mailto:[email protected]>> wrote:

        On Thu, Feb 11, 2016 at 7:30 PM, Terren Suydam
        <[email protected] <mailto:[email protected]>>wrote:

            ​ > ​
            As amazing as detecting the gravitational waves are, I'm
            actually more interested in what happens when those two
            black holes collide... is the resulting explosion
            entirely contained in the event horizon or is there any
            possibility that matter/energy can escape due to the high
            energies involved?


        ​It wasn't an explosion if anything it was an implosion and
        the results were not contained within the event horizon, if
        they were we wouldn't have been able to detect it. What we
        detected was a 36 solar mass black hole merging with
        a 29 solar mass black hole and producing a 62 solar mass
        black hole with the missing 3 solar masses being converted
        into energy in the form of gravitational waves, which is what
        LIGO saw. It all happened in a fifth of a second. If 3 solar
        masses had been converted to light instead of gravitational
        waves during that fifth of a second it would have been
        brighter than the rest of the universe put together.

         John K Clark
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