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Dark Energy

Credit: X-ray: NASA/CXC/M.Markevitch et al.
Optical: NASA/STScI; Magellan/U.Arizona/D.Clowe et al.
Lensing Map: NASA/STScI; ESO WFI; Magellan/U.Arizona/D.Clowe et al.

About 90% of the Universe is dark—we can't see it except through its gravitational pull. Although this was suspected more than 60 years ago, we are just now in a position to explore the dark matter in large areas of the Universe through a technique called weak gravitational lensing.

As the light from a distant source passes by a mass concentration its ray path is bent, causing the distant source to appear at an altered place on the sky and resulting in a tell-tale distortion of its shape. This gravitational lensing effect provides the first, and currently only, way to directly "weigh" cosmic mass. Lensing in its strong form results in some striking images, but it is relatively rare. To learn about more typical parts of the Universe, we use weak lensing.

At the faint magnitudes reached by large telescopes, the sky is studded with tens of billions of faint distant blue galaxies. In recent years astronomers have become adept at mapping the dark matter associated with known galaxy clusters using these background galaxies as a cosmic wallpaper for weak gravitational lensing analyses.

This is an image of dark matter in a 2 degree by 2 degree field of the sky from the Deep Lens Survey. Many mass clusters may be seen in projection. With color redshift information on the background galaxies, three-dimensional maps can be constructed. The LSST is needed to make these tomographic mass maps over a cosmologically significant area.

With multi-wavelength deep imaging of the faint blue galaxies, we can construct photometric redshifts for them and go beyond a simple foreground/background paradigm. Photometric redshifts enable tomographic analysis of slices of the projected sky in redshift bins. By obtaining weak lensing maps for sources at a variety of redshifts, we can obtain a three-dimensional mass map of the universe back to half its current age. Only the Large Synoptic Survey Telescope with its combination of huge field and large light grasp would enable such a survey in our lifetimes.

Structures as large as 500 million light-years are known to exist. The Large Synoptic Survey Telescope will for the first time map the evolution of these mass structures over cosmic time. This will directly test theories of the evolution of our universe and the nature of dark matter and dark energy.

32-Mpc simulation of large-scale structure in a standard cold-dark matter Universe. Courtesy R. Cen, Princeton University.

To undertake tomographic gravitational lens reconstruction of dark matter images at high redshift and large look-back times requires superb imaging of distant background galaxies. At 29th magnitude per square arcsecond surface brightness, there is a distant blue galaxy every several arcseconds on the sky. One requires good angular resolution over a 10 square degree field of view, coupled with the light gathering power of an 8-meter class mirror.

Dark energy is a mysterious force that is accelerating the expansion of the universe. The expansion has slowed the clustering of dark matter, one of the universe's main building blocks. If we could measure the precise history of the Hubble expansion, and chart the development of mass structure, we could test theories of the physics of dark energy. Diffrent theories predict different scenarios.

The LSST will enable scientists to study the dark energy in four different and complementary ways:

  1. The telescope will image dark matter over cosmic time, via a "gravitational mirage." All the galaxies behind a clump of dark matter are deflected to a new place in the sky, causing their images to be distorted. This is effectively 3-D mass tomography of the universe.
  2. Galaxies clump in a non-random way, guided by the natural scale that was imprinted in the fireball of the Big Bang. This angular scale will be measured over cosmic time by LSST, yielding valuable information on the changing Hubble expansion.
  3. The numbers of huge clusters of dark matter are a diagnostic of the underlying cosmology. By charting the numbers of these (via their graviational mirage) over cosmic time, LSST will place another sensitive constraint on the physics of dark energy.
  4. Finally, a million supernovae will be monitored by LSST, giving yet another complemtary view of the history of the Hubble expansion.

Something Is Ripping The Universe Apart

Recently the composition of the universe has become even more puzzling: observations imply an acceleration of the universe's expansion over the past few billion years. In order to explain such an acceleration, we need "dark energy" with large negative pressure to generate a repulsive gravitational force. The evidence comes from studies of the total energy density of the universe and from supernova observations. Precision measurements of the cosmic microwave background have shown that the total energy density of the universe is very near the critical density needed to make the universe flat (i.e. the curvature of space-time, defined in General Relativity, goes to zero on large scales). Since energy is equivalent to mass (Special Relativity: E = mc2), this is usually expressed in terms of a critical mass density needed to make the universe flat. Ordinary matter such as stars, dust, and gas account for only 5% of the necessary mass density. Observations have shown that dark matter cannot account for more than ~25% of the critical mass density. Both the microwave background and supernova observations suggest that dark energy should make up ~70% of the critical energy density. When added to the mass-energy of matter, the total energy density is consistent with what is needed to make the universe flat.

Over the expansion history of our universe, densities have fallen by factors of trillions. Why is the dark energy density today within a factor of three of that of dark matter, whereas it evolves very differently with time? Moreover, the dark matter density is only a factor of five larger than that of ordinary matter. Understanding this may lead to advances in fundamental physics. It is possible that what we call dark matter and dark energy arise from some unknown aspect of gravity. Thus, the highest energies and the universe on the largest scales are connected. Today the worlds of particle physics and cosmology are coming together in a transformed world view. Now, even the notion that the galaxies and stars comprise most of our universe has been abandoned. Emerging is a universe largely governed by dark matter and an even stranger dominance of a smoothly distributed and pervasive dark energy.

Dark Energy And The Fate Of The Universe

Cosmologists understand almost nothing about dark energy even though it appears to comprise about 70 percent of the universe. They are desperately seeking to uncover its fundamental properties: its strength, its permanence, and any variation with direction. The evolution of the universe is governed by the amount of dark matter and dark energy. The densities of dark matter and dark energy scale differently with cosmic scale as the universe expands. This evolution in cosmic scale is schematically shown in the figure below for several cosmologies. In a universe with a high density of dark matter, the Hubble expansion continues to decelerate due to the gravitation attraction of the dark matter filling the universe, ending in a big crunch. In a universe with a lower critical density of dark matter, the expansion coasts. In a universe with dark energy as well as dark matter, the initial deceleration is reversed at late times by the increasing dominance of the dark energy.

If the hypothetical dark energy continues to dominate the universe's energy balance, then the current expansion of space will continue to accelerate, exponentially. Structures which are not already gravitationally bound will ultimately fly apart. The Earth and the Milky Way would remain undisturbed while the rest of the universe appears to run away from us.

The nature of dark energy is currently a matter of speculation. Some believe that dark energy might be "vacuum energy", represented by the "cosmological constant" (Λ) in general relativity, a constant uniform density of dark energy throughout all of space that is independent of time or the universe's expansion. This notion was introduced by Einstein, and is consistent with our limited observations to date. Alternatively, dark energy might vary with cosmic time. Only new kinds of observations can settle the issue.

PROBING THE NATURE OF DARK ENERGY

What kind of universe do we live in? To test theories of dark energy we would like to measure the way the expansion of our universe changes with cosmic time. For a universe with a given mass density, the time history of the expansion encodes information on the amount and nature of dark energy. Dark energy affects two things: distances and the growth of mass structure. Measuring how dark matter structures and ratios of distances grow with cosmic time -- via LSST weak gravitational lensing observations -- will provide clues to the nature of dark energy. A key strength of the LSST is its ability to image huge volumes of the universe. Such a probe will be a natural part of the all-sky imaging survey. Billions of distant galaxies will have their shapes and colors measured. Sufficient color data will be obtained for an estimate of the distance to each galaxy. This will enable a unique probe of the physical nature of the dark energy that appears to fill the universe.

If, due to this dark energy, the expansion of the universe has been accelerating the development of mass structures via ordinary gravitational infall will be impeded. The time development of mass concentrations is sensitive to the physical nature of the dark energy itself: the so-called equation of state (pressure divided by energy density). In its deep wide-angle survey the LSST will be able to pin down the equation of state of dark energy to better than a few percent, at high confidence. Due to its wide coverage of the sky, LSST is uniquely capable of detecting any variation in the dark energy with direction. In turn, this will tell us something about physics at the earliest moments of our universe, setting the course for its future evolution.

The world of quantum gravity at a fraction of a second after the big bang, when the universe was so hot and dense that even protons and neutrons were broken up into a hot soup of quarks, connects to the world as we now see it - a vast expanding cosmos extending out 14 billion light-years. Dark energy and dark matter are relics of the first moments when unfamiliar physics of quantum gravity ruled. A route to understanding dark matter and probing the nature of dark energy is to measure cosmic shear over the last half of the age of the universe - at a time when dark energy apparently had its greatest influence. LSST does this in several independent ways. These probes of the nature of dark energy by LSST are complimentary to those of space missions measuring the cosmic microwave background and very distant supernovae. Indeed, since we understand so little about dark energy, it is prudent to pursue all these lines of investigation.

How Do You Measure This, Exactly?

Observable distortions of the distant universe due to weak gravitational lensing (cosmic mirage) are predictable given a cosmological model. LSST will do this in a variety of ways. Because of the redshift-distance effect of the Hubble expansion, LSST's multi-color deep imaging survey will provide distances to galaxies out to redshift 3. We can subdivide these galaxies into many redshift or distance bins and then perform lensing tomography: measure how the cosmic mirage effect changes with distance. If the galaxies can be separated into n multiple redshift bins, then we can create n shear maps. The most interesting statistical properties of these maps are the shear-shear correlation functions. These n(n+1)/2 unique shear power spectra can be written as projections of the matter power spectrum along the line of sight out to some redshift. The resulting tens of shear cross correlations vs redshift are very powerful independent probes of the expansion history (see the figure). It is clear that the unparalleled survey area of LSST allows a significant detection of the power spectra over a wide range of angular scales, from degree scales to arcminute scales. Jointly, these correlations contain enough information to determine cosmological parameters, including dark energy parameters..

Weak lensing has high information content. If we know distances to source galaxies, the mass distribution and cosmic geometry can be measured as a function of redshift. Weak lensing thus has sensitivity to the evolution of dark energy. The light deflection by a foreground mass is given by a product of the mass inside the impact radius and a dimensionless ratio of distances. Both of these terms are affected by dark energy and other cosmological parameters. Combining lensing data with CMB data enables separate direct investigations of the growth of dark matter structure and multiple probes of the geometry from z~1 to the present.

Financial support for Rubin Observatory comes from the National Science Foundation (NSF) through Cooperative Agreement No. 1258333, the Department of Energy (DOE) Office of Science under Contract No. DE-AC02-76SF00515, and private funding raised by the LSST Corporation. The NSF-funded Rubin Observatory Project Office for construction was established as an operating center under management of the Association of Universities for Research in Astronomy (AURA).  The DOE-funded effort to build the Rubin Observatory LSST Camera (LSSTCam) is managed by the SLAC National Accelerator Laboratory (SLAC).
The National Science Foundation (NSF) is an independent federal agency created by Congress in 1950 to promote the progress of science. NSF supports basic research and people to create knowledge that transforms the future.
NSF and DOE will continue to support Rubin Observatory in its Operations phase. They will also provide support for scientific research with LSST data.   




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