Please use this identifier to cite or link to this item: https://hdl.handle.net/10321/2344
DC FieldValueLanguage
dc.contributor.authorPaliathanasis, Andronikosen_US
dc.contributor.authorLeach, P. G. L.en_US
dc.contributor.authorCapozziello, Salvatoreen_US
dc.date.accessioned2017-03-09T12:13:00Z-
dc.date.available2017-03-09T12:13:00Z-
dc.date.issued2016-04-10-
dc.identifier.citationPaliathanasis, A.; Leach, P. G. L. and Capozziello, S. 2016. On the Hojman conservation quantities in Cosmology. Physics Letters B. 755: 8-12.en_US
dc.identifier.issn0370-2693 (print)-
dc.identifier.issn1873-2445 (online)-
dc.identifier.urihttp://hdl.handle.net/10321/2344-
dc.description.abstractWe discuss the application of the Hojman’s Symmetry Approach for the determination of conservation laws in Cosmology, which has been recently applied by various authors in different cosmological models. We show that Hojman’s method for regular Hamiltonian systems, where the Hamiltonian function is one of the involved equations of the system, is equivalent to the application of Noether’s Theorem for generalized transformations. That means that for minimally-coupled scalar field cosmology or other modified theories which are conformally related with scalar-field cosmology, like f (R) gravity, the application of Hojman’s method provide us with the same results with that of Noether’s Theorem. Moreover we study the special Ansatz. φ (t) = φ (a (t)), which has been introduced for a minimally-coupled scalar field, and we study the Lie and Noether point symmetries for the reduced equation. We show that under this Ansatz, the unknown function of the model cannot be constrained by the requirement of the existence of a conservation law and that the Hojman conservation quantity which arises for the reduced equation is nothing more than the functional form of Noetherian conservation laws for the free particle. On the other hand, for f (T ) teleparallel gravity, it is not the existence of Hojman’s conservation laws which provide us with the special function form of f (T ) functions, but the requirement that the reduced second-order differential equation admits a Jacobi Last multiplier, while the new conservation law is nothing else that the Hamiltonian function of the reduced equation.en_US
dc.format.extent6 pen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofPhysics letters. B (Online)en_US
dc.subjectCosmologyen_US
dc.subjectScalar fielden_US
dc.subjectConservation lawsen_US
dc.titleOn the Hojman conservation quantities in Cosmologyen_US
dc.typeArticleen_US
dc.dut-rims.pubnumDUT-005584en_US
item.fulltextWith Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.languageiso639-1en-
item.openairetypeArticle-
item.grantfulltextopen-
item.cerifentitytypePublications-
Appears in Collections:Research Publications (Applied Sciences)
Files in This Item:
File Description SizeFormat
Paliathanasis_PLB_Vo755_Pgs8-12_2016.pdf129.4 kBAdobe PDFThumbnail
View/Open
Show simple item record

Page view(s)

571
checked on Dec 13, 2024

Download(s)

112
checked on Dec 13, 2024

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.