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Title of Journal: Int J Theor Phys

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Abbravation: International Journal of Theoretical Physics

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Springer US

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DOI

10.1016/0956-716X(92)90640-Z

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1572-9575

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Viability of Noether Symmetry of Emphasis Type="I

Authors: Kaushik Sarkar Nayem Sk Subhra Debnath Abhik Kumar Sanyal
Publish Date: 2012/12/05
Volume: 52, Issue: 4, Pages: 1194-1213
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Abstract

Recently we have explored vices and virtues of Rfrac32 term in the action which has inbuilt Noether symmetry and anticipated that a linear term might improve the situation Sarkar et al arXiv12012987 astrophCO 2012 In the absence of a conserved current it is extremely difficult to obtain an analytical solution of the said fourth order theory of gravity in the presence of a linear term Here we therefore enlarge the configuration space by including a scalar field in addition and also taking some of the anisotropic models in the absence of a scalar field into account We observe that Noether symmetry remains obscure and it does not even reproduce the one that already exists in the literature Sanyal Gen Relativ Gravit 37407 2005 However there exists in general a conserved current for FR theory of gravity in the presence of a nonminimally coupled scalar field Sanyal Phys Lett B 62481 2005 Mod Phys Lett A 252667 2010 which simplifies the field equations considerably Here we briefly expatiate the nonNoether conserved current and show that indeed the situation is modified

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