English

An analytical solution in the complex plane for the luminosity distance in flat cosmology

Cosmology and Nongalactic Astrophysics 2016-09-16 v1

Abstract

We present an analytical solution for the luminosity distance in spatially flat cosmology with pressureless matter and the cosmological constant. The complex analytical solution is made of a real part and a negligible imaginary part. The real part of the luminosity distance allows finding the two parameters H0H_0 and \om\om. A simple expression for the distance modulus for SNs of type Ia is reported in the framework of the minimax approximation.

Keywords

Cite

@article{arxiv.1609.04612,
  title  = {An analytical solution in the complex plane for the luminosity distance in flat cosmology},
  author = {L. Zaninetti},
  journal= {arXiv preprint arXiv:1609.04612},
  year   = {2016}
}

Comments

6 pages, 2 figures

R2 v1 2026-06-22T15:50:37.767Z