The Spacetime Metric
STM-D-0812Paper1998Settled physics

Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant

Adam G. Riess · Alexei V. Filippenko · Peter Challis · Alejandro Clocchiatti · Alan Diercks · Peter M. Garnavich · Ron L. Gilliland · Craig J. Hogan · Saurabh Jha · Robert P. Kirshner · B. Leibundgut · M. M. Phillips · David Reiss · Brian P. Schmidt · Robert A. Schommer · R. Chris Smith · J. Spyromilio · Christopher Stubbs · Nicholas B. Suntzeff · John Tonry

Abstract and summary · read the original at the source · none found

In one page

Type Ia supernovae all detonate at close to the same brightness, so how faint one looks tells you how far away it sits. Adam Riess and the High-Z Supernova Search Team measured ten new ones between redshift 0.16 and 0.62, combined them with six more of their own and thirty-four nearby ones, and found the distant explosions 10 to 15 per cent farther away than a universe braked only by its own matter allows. The straightforward reading is that the expansion is speeding up, and that something with negative pressure is doing the work. The paper names it in its opening paragraphs: an energy of the vacuum, Einstein’s cosmological constant. Two independent light-curve fitting methods agree. Assuming a flat universe, they put roughly two-thirds to five-sixths of everything into that vacuum term, and rule out a universe closed by ordinary matter at seven to nine sigma. Riess and colleagues then spend a whole section trying to kill their own result with dust, evolution and selection effects, and cannot.

Why it matters hereThis is the measurement that turned the energy of empty space from a bookkeeping term into the dominant component of the universe. Chapter 2 takes it as the observational anchor for a real, energetic vacuum, and chapter 13 treats the number it delivers as the first hard figure any unified account of zero-point energy has to reproduce.

What it claims

  1. 01Ten new type Ia supernovae between redshift 0.16 and 0.62, combined with six earlier High-Z Team objects and thirty-four nearby supernovae, give luminosity distances that are on average 10 to 15 per cent — 0.25 to 0.28 magnitudes — greater than a low mass-density universe with no cosmological constant predicts.Abstract; Sect. 5, Discussion, second paragraph

    Settled physics
  2. 02The vacuum energy density is inconsistent with zero at the 3.0 sigma to 4.0 sigma confidence level, and the expansion is currently accelerating at the 2.8 sigma to 3.9 sigma level, for the two independent light-curve fitting methods, assuming only that the mass density is not negative.Sect. 6, Conclusions 1 and 2

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  3. 03Imposing a spatially flat universe gives a vacuum energy density of 0.68 plus or minus 0.10 by the MLCS method and 0.84 plus or minus 0.09 by template fitting, and rules out a universe closed by ordinary matter at the 7 sigma to 9 sigma level.Sect. 4, paragraph following Eq. (14); Table 8

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  4. 04The same data give a dynamical age for the universe of 14.2 plus or minus 1.5 billion years, including systematic uncertainties, subject to the zero point of the Cepheid distance scale used for three nearby host galaxies.Sect. 6, Conclusion 4

    Settled physics
  5. 05Grey extinction, sample selection bias, progenitor and metallicity evolution, a local void, weak gravitational lensing and sample contamination were each estimated, and none of them reconciles the data with zero vacuum energy and a decelerating expansion. The detection is limited by systematic rather than statistical error.Sect. 5; Sect. 6, Conclusion 6

    Settled physics
  6. 06The authors name the sharpest independent test ahead: supernovae constrain the difference between mass density and vacuum energy density, while the angular scale of the first Doppler peak in the cosmic microwave background constrains their sum, so the two constraints are nearly orthogonal and their intersection would fix both.Sect. 5, final three paragraphs

    What to watch

Read it · abstract

Abstract

We present observations of 10 type Ia supernovae (SNe Ia) between 0.16 less than z less than 0.62. With previous data from our High-Z Supernova Search Team, this expanded set of 16 high-redshift supernovae and 34 nearby supernovae are used to place constraints on the Hubble constant (H_0), the mass density (Omega_M), the cosmological constant (Omega_Lambda), the deceleration parameter (q_0), and the dynamical age of the Universe (t_0). The distances of the high-redshift SNe Ia are, on average, 10% to 15% farther than expected in a low mass density (Omega_M=0.2) Universe without a cosmological constant. Different light curve fitting methods, SN Ia subsamples, and prior constraints unanimously favor eternally expanding models with positive cosmological constant (i.e., Omega_Lambda greater than 0) and a current acceleration of the expansion (i.e., q_0 less than 0). With no prior constraint on mass density other than Omega_M greater than 0, the spectroscopically confirmed SNe Ia are consistent with q_0 less than 0 at the 2.8 sigma and 3.9 sigma confidence levels, and with Omega_Lambda greater than 0 at the 3.0 sigma and 4.0 sigma confidence levels, for two fitting methods respectively. Fixing a "minimal" mass density, Omega_M=0.2, results in the weakest detection, Omega_Lambda greater than 0 at the 3.0 sigma confidence level. For a flat-Universe prior (Omega_M+Omega_Lambda=1), the spectroscopically confirmed SNe Ia require Omega_Lambda greater than 0 at 7 sigma and 9 sigma level for the two fitting methods. A Universe closed by ordinary matter (i.e., Omega_M=1) is ruled out at the 7 sigma to 8 sigma level. We estimate the size of systematic errors, including evolution, extinction, sample selection bias, local flows, gravitational lensing, and sample contamination. Presently, none of these effects reconciles the data with Omega_Lambda=0 and q_0 greater than 0.

The way in

https://arxiv.org/abs/astro-ph/9805201LICENCE CHECK, 2026-09-08. The preprint arXiv:astro-ph/9805201v1, posted 15 May 1998, carries the arXiv assumed licence for postings of 1991 to 2003 — checked on the arXiv abstract page — which is not a Creative Commons grant and does not permit redistribution. The version of record is The Astronomical Journal 116, 1009 (1998). No Creative Commons statement appears in the text. So this sheet carries the summary, the claims and the authors’ own abstract, and sends the reader to the source, where the full 28-page paper with its appendices and tables is free to read. The abstract below is the arXiv posting’s, with the mathematical symbols for less than and greater than written out as words. This paper is the High-Z Supernova Search Team’s result; the independent Supernova Cosmology Project result of Perlmutter and colleagues followed in 1999, and the two together won the 2011 Nobel Prize in Physics for Riess, Schmidt and Perlmutter. Section and equation numbers in the claims are the preprint’s. The registry record listed eight of the twenty authors; the complete list, as printed on the paper, is used here.

How to cite it

Adam G. Riess, Alexei V. Filippenko, Peter Challis, Alejandro Clocchiatti, Alan Diercks, Peter M. Garnavich, Ron L. Gilliland, Craig J. Hogan, Saurabh Jha, Robert P. Kirshner, B. Leibundgut, M. M. Phillips, David Reiss, Brian P. Schmidt, Robert A. Schommer, R. Chris Smith, J. Spyromilio, Christopher Stubbs, Nicholas B. Suntzeff, John Tonry (1998) Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant. doi:10.1086/300499

Where it sits in the curriculum

The evidence ladderWhat the vacuum isThe unified picture

Provenance: Retrieved 2026-09-08 · Summary by The Spacetime Metric editorial rail (AI draft from the source text, 2026-09-07)← The library