A new class of cosmological models in Lyra geometry

Singh, Gyan Prakash; Desikan, Kalyani

doi:10.1007/bf02845856

Cited by 104 publications

(60 citation statements)

References 17 publications

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“…Most of the well-known models of Einstein's theory and BransDicke theory have been considered with constant DP. In literature Berman and Gomide (1988), Johri and Desikan (1994), Singh and Desikan (1997) and Vishwakarma (2002a, 2002b) have studied cosmological models with constant DP. Most of the work has been done on spatially homogeneous and isotropic Robertson-Walker metric based on constant DP.…”

Section: Solution Of Field Equationsmentioning

confidence: 98%

Bianchi type-II space-times with constant deceleration parameter in self creation cosmology

Singh

Kumar

2007

Astrophys Space Sci

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The properties of locally rotationally symmetric Bianchi type-II perfect fluid space-times are analyzed in Barber's second self-creation theory by using a special law of variation for Hubble's parameter that yields a constant value of deceleration parameter. By assuming the equation of state p = γρ, many new solutions are obtained for different era-Zel'dovich, radiation, vacuum and vacuum energy dominated. The solutions with power-law and exponential expansion are discussed. A detailed study of geometrical and physical parameters is carried out. The nature of singularity is also clarified in each case.

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Section: Solution Of Field Equationsmentioning

confidence: 98%

Bianchi type-II space-times with constant deceleration parameter in self creation cosmology

Singh

Kumar

2007

Astrophys Space Sci

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“…Incidentally, most of the well -known perfect fluid models in general relativity and Brans -Dicke theory are studied with constant deceleration parameter. 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.…”

Section: Solution Of Field Equationsmentioning

confidence: 99%

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

Singh¹

2009

Braz. J. Phys.

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In this paper we present a spatially homogeneous locally rotationally symmetric (LRS) Bianchi type -V perfect fluid model with heat conduction in scalar tensor theory proposed by Saez and Ballester. The field equations are solved with and without heat conduction by using a law of variation for the mean Hubble parameter, which is related to the average scale factor of metric and yields a constant value for the deceleration parameter. The law of variation for the mean Hubble parameter generates two types of cosmologies one is of power -law form and second the exponential form. Using these two forms singular and non -singular solutions are obtained with and without heat conduction. We observe that a constant value of the deceleration parameter is reasonable a description of the different phases of the universe. We arrive to the conclusion that the universe decelerates for positive value of deceleration parameter where as it accelerates for negative one. The physical constraints on the solutions of the field equations, and, in particular, the thermodynamical laws and energy conditions that govern such solutions are discussed in some detail.The behavior of the observationally important parameters like expansion scalar, anisotropy parameter and shear scalar is considered in detail.

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“…Further Soleng (1988) observed that for matter with zero spin the field equations of his scalar tensor theory reduce to those of Brans-Dicke theory. Various authors (Bhamra, 1974;Karade and Borker, 1978;Kalyanshetti and Waghmode, 1982;Reddy and Innaiah, 1986;Beesham, 1986Beesham, , 1988Reddy and Venkatteswarlu, 1987;Mohanty and Panigrahi, 1988;Singh, 1991, 1993;Singh and Desikan, 1997;Rahaman and Bera, 2001;Reddy, 2005) constructed different four dimensional cosmological models in Lyra manifold. Rahaman (2002) obtained an approximate solution around a global monopole resulting from the breaking of a global SO(3) symmetry in a five dimensional space time based on Lyra's geometry.…”

Section: Introductionmentioning

confidence: 98%