Context. Recently we have found an analytic integration formula that describes the dependence of the luminosity distance on the redshift for the flat cosmological model with a non-zero cosmological constant. Aims. The purpose of this article is to search for a similar relation for the non-flat models. Methods. A Taylor series was used. Results. The elliptic integral of the first kind can indeed be applied. Conclusions. The result shows that a combination of the numerical integration with the previous analytic formula can also be useful for the nearly flat cosmological models
This article presents numerical work on a special case of the cosmological semiclassical Einstein eq...
Abstract: Conventional cosmology is based on (i) the Edwin Hubble discovery of the relationship betw...
The luminosity distance-redshift relation is one of the fundamental tools of modern cosmology. We co...
Context. The dependence of the luminosity distance on the redshift has a key importance in the cosmo...
Accurate and efficient methods to evaluate cosmological distances are an important tool in modern pr...
peer reviewedThe Universe is not completely homogeneous. Even if it is sufficiently so on large scal...
Six decades ago Edwin Hubble found his velocity-distance relation that soon became the observational...
The redshift-distance modulus relation, the Hubble Diagram, derived from Cosmological General Relati...
This thesis provides generalization to known solutions for the scale factor and cosmic time of Fried...
We propose two efficient numerical methods of evaluating the luminosity distance in the spatially fl...
We derive a direct general map from the luminosity distance D(z) to the inhomogeneous matter distrib...
In Friedmann–Lemaître–Robertson–Walker cosmology, it is sometimes possible to compute analytically l...
The luminosity distance-redshift relation is one of the fundamental tools of modern cosmology. We co...
Several recent observations using standard rulers and standard candles now suggest, either individ...
The Standard Cosmology is based on the well known Robertson-Walker($RW$) metric and perfect fluid hy...
This article presents numerical work on a special case of the cosmological semiclassical Einstein eq...
Abstract: Conventional cosmology is based on (i) the Edwin Hubble discovery of the relationship betw...
The luminosity distance-redshift relation is one of the fundamental tools of modern cosmology. We co...
Context. The dependence of the luminosity distance on the redshift has a key importance in the cosmo...
Accurate and efficient methods to evaluate cosmological distances are an important tool in modern pr...
peer reviewedThe Universe is not completely homogeneous. Even if it is sufficiently so on large scal...
Six decades ago Edwin Hubble found his velocity-distance relation that soon became the observational...
The redshift-distance modulus relation, the Hubble Diagram, derived from Cosmological General Relati...
This thesis provides generalization to known solutions for the scale factor and cosmic time of Fried...
We propose two efficient numerical methods of evaluating the luminosity distance in the spatially fl...
We derive a direct general map from the luminosity distance D(z) to the inhomogeneous matter distrib...
In Friedmann–Lemaître–Robertson–Walker cosmology, it is sometimes possible to compute analytically l...
The luminosity distance-redshift relation is one of the fundamental tools of modern cosmology. We co...
Several recent observations using standard rulers and standard candles now suggest, either individ...
The Standard Cosmology is based on the well known Robertson-Walker($RW$) metric and perfect fluid hy...
This article presents numerical work on a special case of the cosmological semiclassical Einstein eq...
Abstract: Conventional cosmology is based on (i) the Edwin Hubble discovery of the relationship betw...
The luminosity distance-redshift relation is one of the fundamental tools of modern cosmology. We co...