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Expansion, geometry, and gravity

Robert R Caldwell1 and Marc Kamionkowski2

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In general-relativistic cosmological models, the expansion history, matter content, and geometry are closely intertwined. In this brief paper, we clarify the distinction between the effects of geometry and expansion history on the luminosity distance. We show that the cubic correction to the Hubble law, measured recently with high-redshift supernovae, is the first cosmological measurement, apart from the cosmic microwave background, that probes directly the effects of spatial curvature. We illustrate the distinction between geometry and expansion with a toy model for which the supernova results already indicate a curvature radius larger than the Hubble distance.


Keywords

classical tests of cosmology

supernova type Ia

gravity

 

E-print Number: astro-ph/0403003

Cited: by |

Refers: to

PACS

95.30.Sf Relativity and gravitation

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

02.40.-k Geometry, differential geometry, and topology

97.60.Bw Supernovae

98.70.Vc Background radiations

Subjects

Mathematical physics

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 09 (September 2004)

Received 20 May 2004, accepted for publication 6 September 2004

Published 17 September 2004



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