1957
DOI: 10.1002/asna.19572840303
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Über den Zusammenhang zwischen Rotverschiebung und scheinbarer Helligkeit

Abstract: Im Rahmen der relativistischen Kosmologie wird für den Fall des verschwindenden kosmologischen Gliedes Λ ein strenger Zusammenhang zwischen der bolometrischen Helligkeit und der Rotverschiebung angegeben. Die sich ergebenden Differenzen gegenüber der bisher benutzten Näherung werden berechnet. Es zeigt sich, daß diese Differenzen bei größeren Beträgen der Rotverschiebung nicht mehr zu vernachlässigen sind.

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Cited by 164 publications
(103 citation statements)
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“…We note that throughout this paper we calculate luminosity and angular diameter distances as follows : For the two models, we use the standard exact form due to ) " \ 0 Mattig (1958). For the model with nonzero we use the ) " , approximate form derived by Pen (1999).…”
Section: A Model For the Cluster Populationmentioning
confidence: 99%
“…We note that throughout this paper we calculate luminosity and angular diameter distances as follows : For the two models, we use the standard exact form due to ) " \ 0 Mattig (1958). For the model with nonzero we use the ) " , approximate form derived by Pen (1999).…”
Section: A Model For the Cluster Populationmentioning
confidence: 99%
“…Analytical expression for the observable area distance for GR with no cosmological constant can be found in [5,8,9], whereas for more general scenarios numerical integration is usually required. In the next section, the numerical analysis also will be performed in order to find the deviation vector η(z) and observer area distance r 0 (z) and compare the results have been found in f (R, T ) Jordan frame with those ΛCDM model.…”
Section: A Geodesic Deviation Equation For the Flrw Universementioning
confidence: 99%
“…The importance of the geodesic deviation equation (GDE) for spinless particles is studied by the authors [6], [7], and they certify its importance when we study gravitational wave phenomena and their detection. The geodesic deviation equation (GDE) provides an elegant tool to investigate the timelike, null and spacelike structure of spacetime geometries and the important Raychaudhuri equation [8], the Mattig relation [9] and the Pirani equation [10] may be obtained by solving it. Recent observations of the supernovae type Ia (SNe Ia) [11], the cosmic microwave background radiation (CMBR) [12], the baryon acoustic oscillation (BAO) surveys [13], the large scale structure [14] and the weak lensing [15], clearly indicate that the Universe is currently expanding with an accelerating rate.…”
Section: Introductionmentioning
confidence: 99%
“…Only the luminosity or redshift distance is appropriate, he says, not the comoving distance and not another sort whose source he does not cite. Angular diameter and parallax-type distances are different yet again, and also inappropriate in models more complex than Einstein-de Sitter, where several are degenerate (Mattig 1958). Well, it may be so.…”
Section: Very (And Not So Very) Large Scale Structure and Streamingmentioning
confidence: 99%