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Can Noether symmetry in modified f( G) gravity always yield cosmic evolution?

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Title: Can Noether symmetry in modified f( G) gravity always yield cosmic evolution?
Authors: Dutta, Malay Krishna1,2, Modak, B.2
Source: Modern Physics Letters A. Apr2017, Vol. 32 Issue 11, p-1. 11p.
Subjects: Symmetry (Physics), Functional analysis, Gravity, Einstein field equations, Existence theorems
Abstract: We discuss Noether symmetry approach in the modified theory of gravity with Gauss-Bonnet (GB) interaction- f( G) including an ideal fluid in Friedmann-Lemaître-Robertson-Walker (FLRW) background. It yields functional form of f( G) from the symmetry. The existence of Noether symmetry gives the scale factor in two cases, but these are not satisfied by field equations in general. In another case, the solution of field equations shows late-time transition to an accelerating expansion when matter is dust, however the solution including dust and radiation is always in accelerating era. [ABSTRACT FROM AUTHOR]
Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: We discuss Noether symmetry approach in the modified theory of gravity with Gauss-Bonnet (GB) interaction- f( G) including an ideal fluid in Friedmann-Lemaître-Robertson-Walker (FLRW) background. It yields functional form of f( G) from the symmetry. The existence of Noether symmetry gives the scale factor in two cases, but these are not satisfied by field equations in general. In another case, the solution of field equations shows late-time transition to an accelerating expansion when matter is dust, however the solution including dust and radiation is always in accelerating era. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1142/S0217732317500468
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      – SubjectFull: Gravity
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      – SubjectFull: Einstein field equations
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      – SubjectFull: Existence theorems
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      – TitleFull: Can Noether symmetry in modified f( G) gravity always yield cosmic evolution?
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