Axially symmetric string cosmological models in Brans-Dicke theory of gravitation

Rao, V. U. M.; Vinutha, T.; Sireesha, K. V. S.

doi:10.1007/s10509-009-0080-0

Cited by 29 publications

(16 citation statements)

References 31 publications

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“…Yadav et al (2007aYadav et al ( , 2007b have obtained the integrability of cosmic string in Bianchi type III space-time in presence of bulk viscous fluid by applying a new technique. Reddy (2003, , , Rao et al (2008aRao et al ( , 2008bRao et al ( , 2009Rao et al ( , 2010, Pradhan (2007Pradhan ( , 2009, Pradhan and Mathur (2008), and Pradhan et al ( , 2010 have studied string cosmological models in different contexts. Recently, Tripathi et al (2009Tripathi et al ( , 2010 have obtained cosmic strings with bulk viscosity.…”

Section: Introductionmentioning

confidence: 99%

LRS Bianchi type-II massive string cosmological model in General Relativity

Pradhan

Ram

Singh³

2010

Astrophys Space Sci

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The present study deals with locally rotationally symmetric (LRS) Bianchi type II cosmological model representing massive string. The energy-momentum tensor for such string as formulated by Letelier (Phys. Rev. D 28:2414, 1983) is used to construct massive string cosmological model for which we assume that the expansion (θ ) in the model is proportional to the shear (σ ). This condition leads to A = B m , where A and B are the metric coefficients and m is proportionality constant. For suitable choice of constant m, it is observed that in early stage of the evolution of the universe string dominates over the particle whereas the universe is dominated by massive string at the late time. Our model is in accelerating phase which is consistent to the recent observations of type Is supernovae. Some physical and geometric behavior of the model is also discussed.

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Section: Introductionmentioning

confidence: 99%

LRS Bianchi type-II massive string cosmological model in General Relativity

Pradhan

Ram

Singh³

2010

Astrophys Space Sci

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“…The field equations (17) to (20) are four independent equations with six unknowns , , , , , and . From (17) to (20), we get…”

Section: Cosmological Modelsmentioning

confidence: 99%

“…Letelier [15], Krori et al [16], Mahanta and Mukherjee [17], and Bhattacharjee and Baruah [18] have studied several aspects of string cosmological models in general relativity. Rao et al [19][20][21] have obtained axially symmetric string, perfect fluid cosmological models, and Bianchi type-II, -VIII, and -IX magnetized cosmological models in Brans-Dicke theory of gravitation.…”

Section: Introductionmentioning

confidence: 99%

Axially Symmetric Bulk Viscous String Cosmological Models in GR and Brans-Dicke Theory of Gravitation

Rao

Neelima

2013

ISRN Astronomy and Astrophysics

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Axially symmetric string cosmological models with bulk viscosity in Brans-Dicke (1961) and general relativity (GR) have been studied. The field equations have been solved by using the anisotropy feature of the universe in the axially symmetric space-time. Some important features of the models, thus obtained, have been discussed. We noticed that the presence of scalar field does not affect the geometry of the space-time but changes the matter distribution, and as a special case, it is always possible to obtain axially symmetric string cosmological model with bulk viscosity in general relativity.

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“…In recent years study of space-time symmetries is more interesting topic. These space-time have been studied by Jain et al (2012); Rao et al (2009).…”

Section: Introductionmentioning

confidence: 99%

Vacuum Solutions of FRW and Axially Symmetric Space–Time in f(R) Theory of Gravity

Agrawal

Pawar

2017

Iran J Sci Technol Trans Sci

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In the present paper an attempt has been made to study the spatially homogeneous and isotropic FRW model and axially symmetric spacetime in f (R) theory of gravity. We have obtained the solutions of the field equations in vacuum. To find the solutions of axially symmetric space-time we have assumed the relation between scale factor and scalar field and also we considered that scalar expansion (θ) in the model is proportional to shear scalar (σ). The physical behavior for both models have been discussed by using physical parameters. The function of Ricci scalar is investigated for these models.

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Axially symmetric string cosmological models in Brans-Dicke theory of gravitation

Abstract: Axially symmetric string cosmological models are obtained in a scalar-tensor theory of gravitation proposed by Brans and Dicke (Phys. Rev. 124:925, 1961). Some physical and geometrical properties of the models are also discussed. The models are anisotropic and free from singularities.

Cited by 29 publications

References 31 publications

LRS Bianchi type-II massive string cosmological model in General Relativity

LRS Bianchi type-II massive string cosmological model in General Relativity

Axially Symmetric Bulk Viscous String Cosmological Models in GR and Brans-Dicke Theory of Gravitation

Vacuum Solutions of FRW and Axially Symmetric Space–Time in f(R) Theory of Gravity

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