A Cosmological Model with Negative Constant Deceleration Parameter in a Scalar-Tensor Theory

Abstract

With the help of a special law of variation for Hubble's parameter presented by Bermann [Nuovo Cimento B (1983), 74, 182], a cosmological model with negative constant deceleration parameter is obtained in the framework of Saez-Ballester [Phys. Lett (1985), Al 13, 467] scalartensor theory of gravitation. Some physical and kinematical properties of the model are, also, discussed.

Anisotropic Bianchi type-I models with constant deceleration parameter in general relativity

“…In literature Berman (1983), Berman and Gomide (1988), Maharaj and Naidoo (1993), Johri and Desikan (1994), Singh and Desikan (1997), Pradhan and Vishwakarma (2002), Rahaman et al (2005) and others have considered cosmological models with constant DP. Recently Reddy et al (2006Reddy et al ( , 2007 have presented LRS Bianchi type-I models with constant DP in scalar tensor and scale covariant theories of gravitation. The present authors Kumar 2007a, 2007b) have considered LRS Bianchi type-II models with constant DP in Guth's inflationary theory and self creation theory of gravitation.…”

LRS Bianchi Type-I Inflationary String Cosmological Model in Brans-Dicke Theory of Gravitation

“…Singh and Beesham [7] studied the effect of bulk viscosity on the evolution of the spatially flat FriedmannLemaitre-Robertson-Walker models in the context of open thermodynamical systems, which allow for particle creation, analyzed within the framework of BD theory. Reddy et al [8] discussed the homogeneous axially symmetric Bianchi type-I radiating cosmological model with negative constant deceleration parameter in BD scalar-tensor theory gravitation. Spatially homogeneous and anisotropic Bianchi type-I (BI) model is used to study the possible effects of anisotropy in the early universe [9,10].…”

LRS Bianchi type -V cosmology with heat flow in scalar: tensor theory

“…The theory of constant deceleration parameter in FRW model have been further studied by several authors [38][39][40]. Rahaman et al [41] and Reddy et al [13] have studied LRS Bianchi type -I models with negative deceleration parameter. In a series of recent papers, Singh and Kumar [42][43][44] and Kumar and Singh [45,46] have extended the work to anisotropic Bianchi type -I and II cosmological models and obtained the solutions of field equations in general relativity and some scalar tensor theories.…”

“…FRW and spatially homogeneous anisotropic models have been widely studied in this theory of gravitation. Singh and Agrawal [5,6], Ram and Singh [7], Ram and Tiwari [8], Singh and Ram [9], Reddy and Rao [10], Reddy [11], Mohanty and Sahu [12], Reddy et al [13], and Rao et al [14,15] are some of the authors who have investigated the cosmological models in this theory.…”