Signals from rare black hole-neutron star pairs could pinpoint rate at which universe is growing, researchers say. 
Since
 it first exploded into existence 13.8 billion years ago, the universe 
has been expanding, dragging along with it hundreds of billions of 
galaxies and stars, much like raisins in a rapidly rising dough.
Astronomers have pointed telescopes to certain stars and other cosmic
 sources to measure their distance from Earth and how fast they are 
moving away from us — two parameters that are essential to estimating 
the Hubble constant, a unit of measurement that describes the rate at 
which the universe is expanding.
But to date, the most precise efforts have landed on very different 
values of the Hubble constant, offering no definitive resolution to 
exactly how fast the universe is growing. This information, scientists 
believe, could shed light on the universe’s origins, as well as its 
fate, and whether the cosmos will expand indefinitely or ultimately 
collapse.
Now scientists from MIT and Harvard University have proposed a more 
accurate and independent way to measure the Hubble constant, using 
gravitational waves emitted by a relatively rare system: a black 
hole-neutron star binary, a hugely energetic pairing of a spiraling 
black hole and a neutron star. As these objects circle in toward each 
other, they should produce space-shaking gravitational waves and a flash
 of light when they ultimately collide.
In a paper published today in Physical Review Letters, the 
researchers report that the flash of light would give scientists an 
estimate of the system’s velocity, or how fast it is moving away from 
the Earth. The emitted gravitational waves, if detected on Earth, should
 provide an independent and precise measurement of the system’s 
distance. Even though black hole-neutron star binaries are incredibly 
rare, the researchers calculate that detecting even a few should yield 
the most accurate value yet for the Hubble constant and the rate of the 
expanding universe.
“Black hole-neutron star binaries are very complicated systems, which
 we know very little about,” says Salvatore Vitale, assistant professor 
of physics at MIT and lead author of the paper. “If we detect one, the 
prize is that they can potentially give a dramatic contribution to our 
understanding of the universe.”
Vitale’s co-author is Hsin-Yu Chen of Harvard.
Competing constants
Two independent measurements  of the Hubble constant were made 
recently, one using NASA's Hubble Space Telescope and another using the 
European Space Agency's Planck satellite. The Hubble Space Telescope’s 
measurement is based on observations of a type of star known as a 
Cepheid variable, as well as on observations of supernovae. Both of 
these objects are considered “standard candles,” for their predictable 
pattern of brightness, which scientists can use to estimate the star’s 
distance and velocity.
The other type of estimate is based on observations of the 
fluctuations in the cosmic microwave background — the electromagnetic 
radiation that was left over in the immediate aftermath of the Big Bang,
 when the universe was still in its infancy. While the observations by 
both probes are extremely precise, their estimates of the Hubble 
constant disagree significantly.
“That’s where LIGO comes into the game,” Vitale says.
LIGO, or the Laser Interferometry Gravitational-Wave Observatory, detects gravitational waves — ripples in the Jell-O of space-time, produced by cataclysmic astrophysical phenomena.
“Gravitational waves provide a very direct and easy way of measuring 
the distances of their sources,” Vitale says. “What we detect with LIGO 
is a direct imprint of the distance to the source, without any extra 
analysis.”
In 2017, scientists got their first chance at estimating the Hubble 
constant from a gravitational-wave source, when LIGO and its Italian 
counterpart Virgo detected a pair of colliding neutron stars
 for the first time. The collision released a huge amount of 
gravitational waves, which researchers measured to determine the 
distance of the system from Earth. The merger also released a flash of 
light, which astronomers focused on with ground and space telescopes to 
determine the system’s velocity.
With both measurements, scientists calculated a new value for the 
Hubble constant. However, the estimate came with a relatively large 
uncertainty of 14 percent, much more uncertain than the values 
calculated using the Hubble Space Telescope and the Planck satellite.
Vitale says much of the uncertainty stems from the fact that it can 
be challenging to interpret a neutron star binary’s distance from Earth 
using the gravitational waves that this particular system gives off.   
“We measure distance by looking at how ‘loud’ the gravitational wave 
is, meaning how clear it is in our data,” Vitale says. “If it’s very 
clear, you can see how loud it is, and that gives the distance. But 
that’s only partially true for neutron star binaries.”
That’s because these systems, which create a whirling disc of energy 
as two neutron stars spiral in toward each other, emit gravitational 
waves in an uneven fashion. The majority of gravitational waves shoot 
straight out from the center of the disc, while a much smaller fraction 
escapes out the edges. If scientists detect a “loud” gravitational wave 
signal, it could indicate one of two scenarios: the detected waves 
stemmed from the edge of a system that is very close to Earth, or the 
waves emanated from the center of a much further system.
“With neutron star binaries, it’s very hard to distinguish between these two situations,” Vitale says.
A new wave
In 2014, before LIGO made the first detection of gravitational waves,
 Vitale and his colleagues observed that a binary system composed of a 
black hole and a neutron star could give a more accurate distance 
measurement, compared with neutron star binaries. The team was 
investigating how accurately one could measure a black hole’s spin, 
given that the objects are known to spin on their axes, similarly to 
Earth but much more quickly.
The researchers simulated a variety of systems with black holes, 
including black hole-neutron star binaries and neutron star binaries. As
 a byproduct of this effort, the team noticed that they were able to 
more accurately determine the distance of black hole-neutron star 
binaries, compared to neutron star binaries. Vitale says this is due to 
the spin of the black hole around the neutron star, which can help 
scientists better pinpoint from where in the system the gravitational 
waves are emanating.
“Because of this better distance measurement, I thought that black 
hole-neutron star binaries could be a competitive probe for measuring 
the Hubble constant,” Vitale says. “Since then, a lot has happened with 
LIGO and the discovery of gravitational waves, and all this was put on 
the back burner.”
Vitale recently circled back to his original observation, and in this new paper, he set out to answer a theoretical question:
“Is the fact that every black hole-neutron star binary will give me a
 better distance going to compensate for the fact that potentially, 
there are far fewer of them in the universe than neutron star binaries?”
 Vitale says.
To answer this question, the team ran simulations to predict the 
occurrence of both types of binary systems in the universe, as well as 
the accuracy of their distance measurements. From their calculations, 
they concluded that, even if neutron binary systems outnumbered black 
hole-neutron star systems by 50-1, the latter would yield a Hubble 
constant similar in accuracy to the former.
More optimistically, if black hole-neutron star binaries were 
slightly more common, but still rarer than neutron star binaries, the 
former would produce a Hubble constant that is four times as accurate.
“So far, people have focused on binary neutron stars as a way of 
measuring the Hubble constant with gravitational waves,” Vitale says. 
“We’ve shown there is another type of gravitational wave source which so
 far has not been exploited as much: black holes and neutron stars 
spiraling together,” Vitale says. “LIGO will start taking data again in 
January 2019, and it will be much more sensitive, meaning we’ll be able 
to see objects farther away. So LIGO should see at least one black 
hole-neutron star binary, and as many as 25, which will help resolve the
 existing tension in the measurement of the Hubble constant, hopefully 
in the next few years.”
This research was supported, in part, by the National Science Foundation and the LIGO Laboratory.
Jennifer Chu | MIT News Office

 
