Measuring the metric: a parametrized post-Friedmanian approach to the cosmic dark energy problem

Abstract

We argue for a ``parametrized post-Friedmanian'' approach to linear cosmology, where the history of expansion and perturbation growth is measured without assuming that the Einstein Field Equations hold. As an illustration, a model-independent analysis of 92 type Ia supernovae demonstrates that the curve giving the expansion history has the wrong shape to be explained without some form of dark energy or modified gravity. We discuss how upcoming lensing, galaxy clustering, cosmic microwave background and Lyman alpha forest observations can be combined to pursue this program, which generalizes the quest for a dark energy equation of state, and forecast the accuracy that the proposed SNAP satellite can attain.

Replaced to match accepted PRD version. References and another example added, section III omitted since superceded by astro-ph/0207047. 11 PRD pages, 7 figs. Color figs and links at http://www.hep.upenn.edu/~max/gravity.html or from [email protected]

References in corpus (12)

• Probing the dark energy: methods and strategies
• Future Supernovae observations as a probe of dark energy
• Evidence for a non-zero Lambda and a low matter density from a combined analysis of the 2dF Galaxy Redshift Survey and Cosmic Microwave Background Anisotropies
• Measuring the Equation-of-state of the Universe: Pitfalls and Prospects
• Is cosmology consistent?
• Separating the Early Universe from the Late Universe: cosmological parameter estimation beyond the black box
• Current constraints on the dark energy equation of state
• Gauge-ready formulation of the cosmological kinetic theory in generalized gravity theories
• Prospects for Determining the Equation of State of the Dark Energy: What can be Learned from Multiple Observables?
• Measuring Time-Dependence of Dark Energy Density from Type Ia Supernova Data
• Lensing at cosmological scales: a test of higher dimensional gravity
• Description of Supernova Data in Conformal Cosmology without Cosmological Constant

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