Most of us know about black holes. So, I am not writing this article about what black holes are and what are their characteristics. What I am gonna discuss here is what happens when black holes merge…
Have you ever heard of black holes mergers? How, Where And Why do black holes merge and what effects do these mergers have on us, i.e, on earth. Astrophysicists see a lot of possibilities of black hole mergers in the universe. The only means of “seeing” black hole mergers is through a “gravitational wave” eye.
Black holes radiate too little electromagnetic radiation of their own to be seen through electromagnetic wave detectors. But when two black holes merge, they radiate lots of gravitational waves. These gravitational waves can be detected once the sensitive gravitational wave detectors that are being built at various places in the world become functional. So far, observation of gravitational wave emission by compact stars has been indirect. Direct detection of the gravitational waves will be a big breakthrough, as this will open a new window to the universe. Besides giving one more direct test of Einstien’s general relativity, gravitational wave detection will lead to observations of many frontier astrophysical phenomena.
Black Hole Mergers: Where and How?
Black hole is generally a companion in a double star revolving in a circular orbit, accreting matter from the companion star and thereby causing the falling matter to emit X-rays (such X-rays sources in the sky in fact make the best candidates for ‘stellar’ black holes). Now, why do two black holes come closer and merge?
More than half of the stars in the galaxy are double stars (two stars revolving round their common centre of mass.) ‘Double stars are rather the ‘rule’ than exception’, goes the saying!
And there is every possibility that both the stars in a binary(or double star) would become black holes! According to classical electrodynamics, accelerated electric charges radiate electromagnetic waves and thereby lose energy. Similarly, accelerated gravitational bodies radiate gravitational waves and lose energy. This is an important consequence of general relativity.
The stars in a binary, being in accelerated motion, radiate gravitational waves and thereby lose energy (remember that every curved path motion is an accelerated motion). The loss of energy causes the decrease in the separation of the companions. The bigger the acceleration, the bigger is the rate of radiation and the rate of decrease in their separation.
Every binary, thus radiates gravitational waves but not appreciably. By the times the stars in a binary reach the stage of becoming a white dwarf, neutron stars or black holes, they come close, their accelerations are now bigger and radiation of gravitational waves from them becomes appreciable.
The radiation of gravitational waves by a binary ultimately causes the merger of the two stars it constitutes. Astrophysicists did see this possibility, but did not know until recently the details of how this phenomenon would occur; As two black holes merge, how much energy is radiated as gravitational waves? What is the shape of the gravitational waves radiated?
Stages in Black hole merger:
The final merger of two black holes can be divided into three stages
Inspiral
Merger
Ringdown
Inspiral:
In this stage, the holes are relatively far apart and can be considered as point masses. As these go on radiating gravitational waves, their orbits go on contracting and, in accordance with Kepler’s third law of planetary motion, the frequency of the gravitational waves emitted goes on increasing. Their paths are not circulars but spiral in shape as their separation is decreasing. The inspiral stage is a relatively long-lived one and continues for a million years. However the gravitational waves emitted by them are so feeble that these will be detected by our detectors only during the last year of this stage.
Merger stage:
When the two holes come very close and only a few final orbits are left, the holes leave their orbits and plunge together in a rapidly shrinking spiral. The event horizons of the two merge to form a single highly distorted black hole.
Ringdown stage:
The distorted single black hole that has resulted from the merger radiates away all its distortions in the form of gravitational waves and becomes a smooth, symmetrical, rotating black hole. The process is similar to what happens when a bell is struck by a hammer: the bell radiates all its distortions as sound waves and rings down and so the name ‘ringdown’.
The merger and the ringdown stages are very brief and last for only 10 minutes. But the energy radiated in the form of gravitational waves is colossus. Calculations indicate that energy radiated by these is more than the total energy radiated by all the stars of the observable universe at that time!
My Question:
Now one thing what I was thinking and it took my 3 weeks research was that:
In any case of a binary, the total linear momentum of the binary is zero in the centre of mass frame of binary. Suppose two black holes of equal mass are revolving round each other. These two vlack holes will radiate gravitational waves equally in opposite directions. So the total linear momentum carried by these gravitational waves will be zero two equal and opposite vectors give a zero result). The law of conservation of linear momentum then implies that the final single black hole that will be formed due to the merger will also have zero momentum in the CM frame as earlier. This means that the new black hole formed will move in the parent galaxy on the same path as the centre of mass of the original binary.
But if the masses are equal, they will radiate energy unequally, and the net momentum of the gravitational radiation will not be zero. So to conserve momentum, the newly formed black hole will acquirean equal and opposite momentum and recoil.
But what will be the total momentum emitted during a merger and what will be the corresponding speed of the merged black holes?
Well, I attended a conference on physics and asked a professor, searched on internet and also asked my friend’s brother (he’s interested in astrophysics) then I finally got my answer that:
It has been found that the velocity acquired by the newly formed black hole due to recoil will be much bigger than the escape velocity of the parent galaxy.
Thus, these will be ejected out from the parent galaxy!
By Sushant Rawat (Writer and Contributor of Science Panorama)