Cosmological models with constant deceleration parameter in Nordtvedt’s theory

Johri, V. B.; Desikan, Kalyani

doi:10.1007/bf02847129

Cited by 25 publications

(18 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Solutions to the field equations may also be generated by applying a law of variation for Hubble's parameter which was proposed by Berman (1983) for Robertson-Walker metric that yield a constant value of deceleration parameter. In earlier literature cosmological models with a constant deceleration parameter have been studied Berman (1983), Berman and Gomide (1988), Johri and Desikan (1994), Singh and Desikan (1997). Maharaj and Naidoo (1993) To find out determine solutions of the field equations (10)-(12), we assume the variation of the Hubbles parameter given by Berman (1983).…”

Section: Solution Of Field Equationsmentioning

confidence: 99%

“…Mohanti et al (1982) investigated the case of coupled source free electromagnetic fields and Zel'dovich fluid distributions (Zel'dovich 1961) equivalent to mass less scalar fields. The Kantowski and Sachs (1966) cosmological models have been done by Weber (1984Weber ( , 1985. Lorcaz (1983), Gron (1986), Matravers (1988, Krori et al (1995), Dabrowski (1995), Li and Hao (2003).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Exact Kantowski–Sachs cosmological models in general theory of relativity

Tiwari¹,

Dwivedi²

2008

Astrophys Space Sci

View full text Add to dashboard Cite

We have studied cosmological model generated by perfect fluid coupled with mass less scalar field for Kantowski-Sachs space-time in general theory of relativity. Two different physically viable models of the universe are obtained by using a special law of variation for Hubble's parameter that yields a constant value of deceleration parameter. Some physical consequences of the models have been discussed in case of Zel'dovich fluid.

show abstract

Section: Solution Of Field Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exact Kantowski–Sachs cosmological models in general theory of relativity

Tiwari¹,

Dwivedi²

2008

Astrophys Space Sci

View full text Add to dashboard Cite

show abstract

“…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.

View full text Add to dashboard Cite

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.

show abstract

“…It also measures the deviation from linearity of growth of the scale factor. Cosmological models with a CDP have been studied by Berman (1983), Berman and Gomide (1988), Johri andDesikan (1994a, 1994b), Singh and Desikan (1997), Maharaj and Naidoo (1993), Pradhan et al (2001), Pradhan and Vishwakarma (2002), Pradhan and Aotemshi (2002), Pradhan and Jotania (2010), Pradhan and Singh (2011), Saha and Rikhvitsky (2006), Saha (2006), , 2007a, 2007b, Chaubey (2006, 2007), Zeyauddin and Ram (2009), Singh and Baghel (2009) and others. Recently, Kilinc (2010a, 2010b), , Amirhashchi (2011), Yadav andYadav (2011) have studied dark energy models in Bianchi type space-times and FRW universe with CDP.…”

Section: Introductionmentioning

confidence: 98%

An interacting and non-interacting two-fluid scenario for dark energy in FRW universe with constant deceleration parameter

Pradhan¹,

Amirhashchi

Saha

2011

Astrophys Space Sci

View full text Add to dashboard Cite

In this paper we study the evolution of the dark energy parameter within the scope of a spatially homogeneous and isotropic FRW universe filled with barotropic fluid and dark energy. The scale factor is considered as a power law function of time which yields a constant deceleration parameter. We consider the case when the dark energy is minimally coupled to the perfect fluid as well as direct interaction with it. The cosmic jerk parameter in our derived models is consistent with the recent data of astrophysical observations. It is concluded that in non-interacting case, all the three open, close and flat universes cross the phantom region whereas in interacting case only open and flat universes cross the phantom region. We find that during the evolution of the universe, the equation of state (EoS) for dark energy ω D changes from ω D > −1 to ω D < −1, which is consistent with recent observations. A. Pradhan ( )

show abstract

Cosmological models with constant deceleration parameter in Nordtvedt’s theory

Cited by 25 publications

References 12 publications

Exact Kantowski–Sachs cosmological models in general theory of relativity

Exact Kantowski–Sachs cosmological models in general theory of relativity

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

An interacting and non-interacting two-fluid scenario for dark energy in FRW universe with constant deceleration parameter

Contact Info

Product

Resources

About