Modified Chaplygin gas cosmology with observational constraints

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• 作者：J.K. Singh ; ^a ; ^{jainendrrakumar@rediffmail.com" class="auth_mail" title="E-mail the corresponding author} ; N.K. Sharma^a ; ^{navinsharma2000@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; A. Beesham^b ; ^{beeshama@unizulu.ac.za" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Bianchi type-II space- time ; Modified Chaplygin gas ; Taylor&rsquo ; s theorem ; Observational constraints
• 刊名：Applied Mathematics and Computation
• 出版年：2015
• 出版时间：1 November 2015
• 年：2015
• 卷：270
• 期：Complete
• 页码：567-581
• 全文大小：1213 K

文摘

The spatially homogeneous and totally anisotropic Bianchi type-II space-time models with modified Chaplygin gas having the equation of state lsi46" class="mathmlsrc">le="View the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S009630031501111X&_mathId=si46.gif&_user=111111111&_pii=S009630031501111X&_rdoc=1&_issn=00963003&md5=9763c1bee6e945df528050535fcc3131">lass="imgLazyJSB inlineImage" height="26" width="108" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S009630031501111X-si46.gif">lass="mathContainer hidden">lass="mathCode">i46.gif" overflow="scroll">p=Aρ−Bρα, 0 ≤ A ≤ 1, 0 ≤ α ≤ 1, where A, α and B are positive constants, have been investigated. It has been shown that the equation of state for such modified model is valid from the radiation era to the ΛCDM. The statefinder, which is the cosmological diagnostic pair {r, s} has been adopted to characterize different phases of the universe. The physical and geometrical properties of the corresponding cosmological models have been discussed. The observational constraints, essentially dependent on the hubble parameter H₀ and deceleration parameter q₀ have been investigated using 28 data points of H(z), SNe Ia and H(z)+ SNe Ia [57]. It has been seen that the average scale factor a(t) can be expanded in terms of an infinite convergent series around the current value of the average scale factor a₀ using Taylor’s theorem, in which the current value of the deceleration parameter q₀, the dimensionless jerk parameter j₀, the snap parameter lsi27" class="mathmlsrc">le="View the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S009630031501111X&_mathId=si27.gif&_user=111111111&_pii=S009630031501111X&_rdoc=1&_issn=00963003&md5=562013510dab1307181df18bd7209a10">lass="imgLazyJSB inlineImage" height="18" width="17" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S009630031501111X-si27.gif">lass="mathContainer hidden">lass="mathCode">low="scroll">s0* and the lerk parameter ℓ₀ appeared.