About: A curious relation between the flat cosmological model and the elliptic integral of the first kind (Research Note)     Goto   Sponge   NotDistinct   Permalink

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Description
  • 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.
  • 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. (en)
Title
  • A curious relation between the flat cosmological model and the elliptic integral of the first kind (Research Note)
  • A curious relation between the flat cosmological model and the elliptic integral of the first kind (Research Note) (en)
skos:prefLabel
  • A curious relation between the flat cosmological model and the elliptic integral of the first kind (Research Note)
  • A curious relation between the flat cosmological model and the elliptic integral of the first kind (Research Note) (en)
skos:notation
  • RIV/00216208:11320/13:10174142!RIV14-GA0-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP209/10/0734), Z(MSM0021620860)
http://linked.open...iv/cisloPeriodika
  • srpen
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 58568
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/13:10174142
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • theory; cosmology (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • FR - Francouzská republika
http://linked.open...ontrolniKodProRIV
  • [E5FCC5721000]
http://linked.open...i/riv/nazevZdroje
  • Astronomy and Astrophysics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 556
http://linked.open...iv/tvurceVysledku
  • Mészáros, Attila
  • Ripa, J.
http://linked.open...ain/vavai/riv/wos
  • 000323893500013
http://linked.open...n/vavai/riv/zamer
issn
  • 0004-6361
number of pages
http://bibframe.org/vocab/doi
  • 10.1051/0004-6361/201322088
http://localhost/t...ganizacniJednotka
  • 11320
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