An Analytical Solution in the Complex Plane for the Luminosity Distance in Flat Cosmology

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DOI: 10.4236/jhepgc.2016.24050    1,283 Downloads   1,967 Views  Citations
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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 H0 and ΩM . A simple expression for the distance modulus for SNs of type Ia is reported in the framework of the mini-max approximation.

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Zaninetti, L. (2016) An Analytical Solution in the Complex Plane for the Luminosity Distance in Flat Cosmology. Journal of High Energy Physics, Gravitation and Cosmology, 2, 581-586. doi: 10.4236/jhepgc.2016.24050.

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