2014
DOI: 10.1515/phys-2015-0010
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Kantowski-Sachs Cosmological model with quark and strange quark matter in f(R) theory of gravity

Abstract: Abstract:In this paper we have studied the KantowskiSachs cosmological model with the quark and strange quark matter in the f (R) theory of gravity. The general solutions of the eld equations are obtained by assuming the physical condition shear scalar σ is proportional to scalar expansion θ, which leads to the relation B = A n between metric coe cients B and A. The physical and geometrical aspects of the model are also discussed.

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Cited by 15 publications
(6 citation statements)
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“…In general theory of relativity, the strange quark matter has been studied along with cosmic string cloud for axially symmetric space-time by Katore 50 and again attached to both string cloud and domain wall for spherically symmetric Kink space-time by Sahoo and Mishra. 51,52 In f (R) theory of gravity, the behaviour of quark and strange quark matter has been studied for Bianchi type-I and V space time by Yilmaz et al 47 and for Kantowski-Sachs metric by Adhav et al 48 In particular, Agrawal and Pawar 49 have studied the quark and strange quark matter for a LRS Bianchi I metric in f (R, T ) gravity. They have solved the field equations using constant deceleration parameter.…”
Section: Introductionmentioning
confidence: 99%
“…In general theory of relativity, the strange quark matter has been studied along with cosmic string cloud for axially symmetric space-time by Katore 50 and again attached to both string cloud and domain wall for spherically symmetric Kink space-time by Sahoo and Mishra. 51,52 In f (R) theory of gravity, the behaviour of quark and strange quark matter has been studied for Bianchi type-I and V space time by Yilmaz et al 47 and for Kantowski-Sachs metric by Adhav et al 48 In particular, Agrawal and Pawar 49 have studied the quark and strange quark matter for a LRS Bianchi I metric in f (R, T ) gravity. They have solved the field equations using constant deceleration parameter.…”
Section: Introductionmentioning
confidence: 99%
“…Khadekar & Shelote (2012) have obtained higher dimensional cosmological model in the presence of quark and strange quark matter. Adhav et al (2015) have discussed the Kantowski-Sachs Cosmological model with quark and strange quark matter in f(R) gravity. Rao & Neelima (2014) have studied Bianchi type-VI 0 space-time with strange quark matter attached to string cloud.…”
Section: Introductionmentioning
confidence: 99%
“…which despite being quite simple, describes both decelerating and accelerating phases of the universe where α(> 0) and n(> 1) are constants. Solving Equation (19), one can obtain the average scale factor as a = e αnt − 1 α/n .…”
Section: Solution Of the Field Equationsmentioning
confidence: 99%
“…Sahoo and Mishra [18] have studied axially symmetric cosmological model with string cloud universe containg strange quark matter. Further Adhav et al [19] have discussed Kantowski-Sachs cosmological model with quark and strange quark matter in f (R) gravity theory. Recently, Agrawal and Pawar [20] have studied plane symmetric cosmological model with quark and strange quark matter in f (R, T ) gravity theory by applying a special law of variation of Hubble parameter that yields a constant value of deceleration parameter.…”
Section: Introductionmentioning
confidence: 99%