‘Spectral Siren’ – Black Hole Collisions Could Help Gauge the Expanding Speed ​​of the Universe

Artist’s impression of two black holes about to collide and merge.

Two University of Chicago astrophysicists, in a new study, laid out a method for how to use pairs of colliding black holes to measure how fast our universe is expanding. This will help us understand how the universe evolved, what it is made out of, and where it’s going.

In particular, the scientists think the new technique, which they call a “spectral siren,” may be able to reveal details about the otherwise elusive “teenage” years of the universe.

Pairs of Colliding Black Holes

In a new study, two University of Chicago astrophysicists laid out a method for how to use pairs of colliding black holes (shown as an artist’s rendition above) to measure how fast our universe is expanding. Credit: Simulating eXtreme Spacetimes (SXS) Project

A cosmic ruler

A major ongoing scientific debate is exactly how fast the universe is expanding—a number called the Hubble constant. Slightly different answers are yielded by the different methods available to measure the expansion rate. To help resolve this conflict, scientists are eager to find alternate ways to measure this rate. Verifying the

The gravitational wave signal from each collision contains information about how massive the black holes were. However, the signal has been traveling across space, and during that time the universe has expanded, which changes the properties of the signal. “For example, if you took a black hole and put it earlier in the universe, the signal would change and it would look like a bigger black hole than it really is,” explained UChicago astrophysicist Daniel Holz, one of the two authors on the paper.

The method may provide a unique window into the “teenage” years of the universe that are hard to study with other methods.

If scientists can figure out a way to measure how that signal changed, they can calculate the expansion rate of the universe. The problem is calibration: How do they know how much it changed from the original?

In their new paper, Holz and first author Jose María Ezquiaga suggest that they can use our newfound knowledge about the whole population of black holes as a calibration tool. For example, current evidence indicates that most of the detected black holes have between five and 40 times the mass of our sun. “So we measure the masses of the nearby black holes and understand their features, and then we look further away and see how much those further ones appear to have shifted,” said Ezquiaga, a

The researchers are excited because in the future, as LIGO’s capabilities expand, the method may provide a unique window into the “teenage” years of the universe—about 10 billion years ago—that are hard to study with other methods.

Scientists can use the cosmic microwave background to look at the very earliest moments of the universe. They can also look around at galaxies near our own galaxy to study the universe’s more recent history. However, the in-between period is harder to reach, and it’s an area of special scientific interest.

“It’s around that time that we switched from dark matter being the predominant force in the universe to dark energy taking over, and we are very interested in studying this critical transition,” said Ezquiaga.

The other advantage of this method, the scientists said, is that there are fewer uncertainties created by gaps in our scientific knowledge. “By using the entire population of black holes, the method can calibrate itself, directly identifying and correcting for errors,” Holz said. The other methods used to calculate the Hubble constant rely on our current understanding of the physics of stars and galaxies, which involves a lot of complicated physics and astrophysics. This means the measurements could be thrown off quite a bit if there’s something we don’t yet know.

By contrast, this new black hole method relies almost purely on Einstein’s theory of gravity, which is well-studied and has stood up against all the ways scientists have tried to test it so far.

The more readings they have from all black holes, the more accurate this calibration will be. “We need preferably thousands of these signals, which we should have in a few years, and even more in the next decade or two,” said Holz. “At that point it would be an incredibly powerful method to learn about the universe.”

Reference: “Spectral Sirens: Cosmology from the Full Mass Distribution of Compact Binaries” by Jose María Ezquiaga and Daniel E. Holz, 3 August 2022, Physical Review Letters.
DOI: 10.1103/PhysRevLett.129.061102

Funding: NSF, NASA

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