Black-body radiation in a curved Robertson-Walker background

Details Black-body radiation in a curved Robertson-Walker background Black-body radiation in a curved Robertson-Walker background

Jul 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.135..261d&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 135, no. 2, July 1987, p. 261-269.

Astronomy and Astrophysics

Astrophysics

2

Background Radiation, Black Body Radiation, Cosmology, Radiation Spectra, Space-Time Functions, Equations Of Motion, Metric Space, Red Shift

Scientific paper

In the standard Friedmann cosmology the black-body radiation spectrum is usually taken to have the same familiar T4-form that it has in a flat space. With explicit use of the equation of motion of a quantized massless field propagating in a curved background Robertson-Walker metric the authors show (for the readily tractable scalar field case) that the assumption is in fact true for an open Universe. For a closed Universe, it is found that there is an in principle modification to the T4-law. Unfortunately, the correction turns out to be too small to be experimentally detectable. In passing, the authors also obtain a simple derivation for the cosmological red shift of frequencies.

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