Higher Dimensional Cosmological Model of the Universe with Decaying Λ Cosmology with Varying G

Abstract

In this paper we present higher dimensional cosmological model of the universe with the decaying vacuum energy density in the realm of model with a time varying gravitational constant. We have shown that our model admits the usual higher dimensional de Sitter solution and the other solutions characterized by the constant ratio between matter density and the total energy density. Our work is the generalization of the work obtained earlier by

Aspects of Today's Cosmology

“…In this connection, let us note that cosmologies with a time variable cosmological "constant" have been extensively discussed in the litterature (Dolgov, 1983;Ford, 1985; and that it has been shown that they not only lead to no conflict with existing observations but also that they are suggested by recent observations (Axenides & Perivolaropoulos, 2002;Baryshev et al, 2001;Chernin et al, 2000;Overduin & Cooperstock, 1998) for example to solve the so-called coincidence problem. More precisely, the a(t) −2 variation of Λ has been shown to be in conformity with quantum gravity by Chen and Wu and consistent with the result of Özer (Özer & Taha, 1987) and other authors (Khadekar & Butey, 2009;Mukhopadhyay et al, 2011;Ray et al, 2011) who obtained it in different contexts (S. Ray, for example, consider Λ ∼ H 2 leading thus, in our case (i.e. when using eq.…”

A New Cosmological Model

“…In this connection, let us note that cosmologies with a time variable cosmological "constant" have been extensively discussed in the litterature (Dolgov, 1983;Ford, 1985; and that it has been shown that they not only lead to no conflict with existing observations (Riess et al, 2004) but also that they are suggested by recent observations (Axenides & Perivolaropoulos, 2002;Baryshev et al, 2001;Chernin et al, 2000;Overduin & Cooperstock, 1998) for example to solve the so-called coincidence problem. More precisely, the a(t) −2 variation of Λ has been shown to be in conformity with quantum gravity by Chen and Wu (Chen & Wu, 1990) and consistent with the result of Özer (Özer & Taha, 1987) and other authors (Khadekar & Butey, 2009;Mukhopadhyay et al, 2011;Ray et al, 2011) who obtained it in different contexts (S. Ray, for example, consider Λ ∼ H 2 leading thus, in our case (i.e. when using eq.…”

Analysis of the Hubble diagram of type SNe Ia supernovae and of gamma-ray bursts. A comparison between two models

“…( 32) has been discussed in [26,27,28] and is suggested by observations [29,30,31,32] for example to solve the coincidence problem. The a(t) −2 variation of Λ has also been shown to be in conformity with quantum gravity by Chen and Wu [21] and to be consistent with the result of Özer [25] and other authors [33,34,35] who obtained it in different contexts.…”