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Title: Anisotropic string cosmological model in Brans–Dicke theory of gravitation with time-dependent deceleration parameter

Abstract

We discuss a spatially homogeneous and anisotropic string cosmological models in the Brans–Dicke theory of gravitation. For a spatially homogeneous metric, it is assumed that the expansion scalar θ is proportional to the shear scalar σ. This condition leads to A = kB{sup m}, where k and m are constants. With these assumptions and also assuming a variable scale factor a = a(t), we find solutions of the Brans–Dicke field equations. Various phenomena like the Big Bang, expanding universe, and shift from anisotropy to isotropy are observed in the model. It can also be seen that in early stage of the evolution of the universe, strings dominate over particles, whereas the universe is dominated by massive strings at the late time. Some physical and geometrical behaviors of the models are also discussed and observed to be in good agreement with the recent observations of SNe la supernovae.

Authors:
; ;  [1]
  1. GLA University, Department of Mathematics, Institute of Applied Sciences and Humanities (India)
Publication Date:
OSTI Identifier:
22617167
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 123; Journal Issue: 4; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ACCELERATION; ANISOTROPY; COSMOLOGICAL MODELS; EVOLUTION; EXPANSION; FIELD EQUATIONS; GRAVITATION; ISOTROPY; SIMULATION; STRING MODELS; SUPERNOVAE; TIME DEPENDENCE; UNIVERSE

Citation Formats

Maurya, D. Ch., E-mail: dcmaurya563@gmail.com, Zia, R., E-mail: rashidzya@gmail.com, and Pradhan, A., E-mail: pradhan.anirudh@gmail.com. Anisotropic string cosmological model in Brans–Dicke theory of gravitation with time-dependent deceleration parameter. United States: N. p., 2016. Web. doi:10.1134/S1063776116110157.
Maurya, D. Ch., E-mail: dcmaurya563@gmail.com, Zia, R., E-mail: rashidzya@gmail.com, & Pradhan, A., E-mail: pradhan.anirudh@gmail.com. Anisotropic string cosmological model in Brans–Dicke theory of gravitation with time-dependent deceleration parameter. United States. doi:10.1134/S1063776116110157.
Maurya, D. Ch., E-mail: dcmaurya563@gmail.com, Zia, R., E-mail: rashidzya@gmail.com, and Pradhan, A., E-mail: pradhan.anirudh@gmail.com. Sat . "Anisotropic string cosmological model in Brans–Dicke theory of gravitation with time-dependent deceleration parameter". United States. doi:10.1134/S1063776116110157.
@article{osti_22617167,
title = {Anisotropic string cosmological model in Brans–Dicke theory of gravitation with time-dependent deceleration parameter},
author = {Maurya, D. Ch., E-mail: dcmaurya563@gmail.com and Zia, R., E-mail: rashidzya@gmail.com and Pradhan, A., E-mail: pradhan.anirudh@gmail.com},
abstractNote = {We discuss a spatially homogeneous and anisotropic string cosmological models in the Brans–Dicke theory of gravitation. For a spatially homogeneous metric, it is assumed that the expansion scalar θ is proportional to the shear scalar σ. This condition leads to A = kB{sup m}, where k and m are constants. With these assumptions and also assuming a variable scale factor a = a(t), we find solutions of the Brans–Dicke field equations. Various phenomena like the Big Bang, expanding universe, and shift from anisotropy to isotropy are observed in the model. It can also be seen that in early stage of the evolution of the universe, strings dominate over particles, whereas the universe is dominated by massive strings at the late time. Some physical and geometrical behaviors of the models are also discussed and observed to be in good agreement with the recent observations of SNe la supernovae.},
doi = {10.1134/S1063776116110157},
journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 4,
volume = 123,
place = {United States},
year = {2016},
month = {10}
}