A curious relation between the flat cosmological model and the elliptic integral of the first kind
Context. The dependence of the luminosity distance on the redshift has a key importance in the cosmology. This dependence can well be given by standard functions for the zero cosmological constant. Aims. The purpose of this article is to present a similar relation also for the non-zero cosmological...
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Published in | Astronomy and astrophysics (Berlin) Vol. 556; pp. 1 - 2 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
EDP Sciences
01.08.2013
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Subjects | |
Online Access | Get full text |
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Summary: | Context. The dependence of the luminosity distance on the redshift has a key importance in the cosmology. This dependence can well be given by standard functions for the zero cosmological constant. Aims. The purpose of this article is to present a similar relation also for the non-zero cosmological constant, if the universe is spatially flat. Methods. A definite integral was used. Results. The integration ends in the elliptic integral of the first kind. Conclusions. The result shows that no numerical integration is needed for the non-zero cosmological constant if the universe is spatially flat. |
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Bibliography: | istex:DFEAD2506097D23FC747AD5D1E4CAAF8FE79F281 ark:/67375/80W-3BZMZGXZ-K e-mail: meszaros@cesnet.cz bibcode:2013A%26A...556A..13M dkey:10.1051/0004-6361/201322088 publisher-ID:aa22088-13 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 0004-6361 1432-0746 |
DOI: | 10.1051/0004-6361/201322088 |