Elliptic integrals for cosmological constant cosmologies

Details Elliptic integrals for cosmological constant cosmologies Elliptic integrals for cosmological constant cosmologies

May 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992an....313..139f&link_type=abstract

Astronomische Nachrichten (ISSN 0004-6337), vol. 313, no. 3, 1992, p. 139-163.

Statistics

Computation

14

Astronomical Models, Celestial Mechanics, Cosmology, Integral Transformations, Computational Astrophysics, Legendre Functions, Numerical Integration, Red Shift

Scientific paper

Elliptic integrals are derived with first- and third-type Legendre integrals to express comoving distance and light travel time as a function of redshift. Specific analytical treatment is given to cosmological models with nonzero cosmological constants such as those by Sahni et al. (1992) so that the treatment can be applied generally. The present treatment fully describes the expression of cosmological dependencies through standard elliptic integrals and facilitates the analysis of observational effects of a particular value of the cosmologial constant.

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