FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2045544061> ?p ?o ?g. }

• W2045544061 abstract "We propose to use a model-independent criterion based on first integrals of motion, due to Noether symmetries of the equations of motion, in order to classify the dark energy models in the context of scalar field (quintessence or phantom) FLRW cosmologies. In general, the Noether symmetries play an important role in physics because they can be used to simplify a given system of differential equations as well as to determine the integrability of the system. The Noether symmetries are computed for nine distinct accelerating cosmological scenarios that contain a homogeneous scalar field associated with different types of potentials. We verify that all the scalar field potentials, presented here, admit the trivial first integral namely energy conservation, as they should. We also find that the exponential potential inspired from scalar field cosmology, as well as some types of hyperbolic potentials, include extra Noether symmetries. This feature suggests that these potentials should be preferred along the hierarchy of scalar field potentials. Finally, using the latter potentials, in the framework of either quintessence or phantom scalar field cosmologies that contain also a non-relativistic matter(dark matter) component, we find that the main cosmological functions, such as the scale factor of the universe, the scalar field, the Hubble expansion rate and the metric of the FRLW space-time, are computed analytically. Interestingly, under specific circumstances the predictions of the exponential and hyperbolic scalar field models are equivalent to those of the $Lambda$CDM model, as far as the global dynamics and the evolution of the scalar field are concerned. The present analysis suggests that our technique appears to be very competitive to other independent tests used to probe the functional form of a given potential and thus the associated nature of dark energy." @default.
• W2045544061 created "2016-06-24" @default.
• W2045544061 creator A5034715840 @default.
• W2045544061 creator A5077055758 @default.
• W2045544061 creator A5085403901 @default.
• W2045544061 date "2011-05-09" @default.
• W2045544061 modified "2023-10-14" @default.
• W2045544061 title "Using the Noether symmetry approach to probe the nature of dark energy" @default.
• W2045544061 cites W1537505738 @default.
• W2045544061 cites W1741047708 @default.
• W2045544061 cites W1801676272 @default.
• W2045544061 cites W1955113783 @default.
• W2045544061 cites W1971447717 @default.
• W2045544061 cites W1979845316 @default.
• W2045544061 cites W1983878973 @default.
• W2045544061 cites W1992347118 @default.
• W2045544061 cites W1995902680 @default.
• W2045544061 cites W2000158313 @default.
• W2045544061 cites W2005276626 @default.
• W2045544061 cites W2011099342 @default.
• W2045544061 cites W2015054426 @default.
• W2045544061 cites W2020449663 @default.
• W2045544061 cites W2022799244 @default.
• W2045544061 cites W2023875957 @default.
• W2045544061 cites W2033715683 @default.
• W2045544061 cites W2036418683 @default.
• W2045544061 cites W2038438211 @default.
• W2045544061 cites W2038887432 @default.
• W2045544061 cites W2039536451 @default.
• W2045544061 cites W2039710338 @default.
• W2045544061 cites W2045719640 @default.
• W2045544061 cites W2046630851 @default.
• W2045544061 cites W2049024258 @default.
• W2045544061 cites W2049393017 @default.
• W2045544061 cites W2050062115 @default.
• W2045544061 cites W2054877469 @default.
• W2045544061 cites W2056173066 @default.
• W2045544061 cites W2056674443 @default.
• W2045544061 cites W2060921884 @default.
• W2045544061 cites W2062486616 @default.
• W2045544061 cites W2062568658 @default.
• W2045544061 cites W2066267005 @default.
• W2045544061 cites W2066761736 @default.
• W2045544061 cites W2073603601 @default.
• W2045544061 cites W2077594122 @default.
• W2045544061 cites W2081994296 @default.
• W2045544061 cites W2086346033 @default.
• W2045544061 cites W2086436511 @default.
• W2045544061 cites W2086592505 @default.
• W2045544061 cites W2088878442 @default.
• W2045544061 cites W2095098235 @default.
• W2045544061 cites W2097549518 @default.
• W2045544061 cites W2098764352 @default.
• W2045544061 cites W2103975776 @default.
• W2045544061 cites W2104691793 @default.
• W2045544061 cites W2107811617 @default.
• W2045544061 cites W2108173030 @default.
• W2045544061 cites W2109912248 @default.
• W2045544061 cites W2113869105 @default.
• W2045544061 cites W2114923274 @default.
• W2045544061 cites W2124601931 @default.
• W2045544061 cites W2131279590 @default.
• W2045544061 cites W2132866814 @default.
• W2045544061 cites W2134783817 @default.
• W2045544061 cites W2135242000 @default.
• W2045544061 cites W2135497511 @default.
• W2045544061 cites W2136838762 @default.
• W2045544061 cites W2137919480 @default.
• W2045544061 cites W2138950682 @default.
• W2045544061 cites W2139900404 @default.
• W2045544061 cites W2146363048 @default.
• W2045544061 cites W2147875900 @default.
• W2045544061 cites W2154748230 @default.
• W2045544061 cites W2157585500 @default.
• W2045544061 cites W2158904417 @default.
• W2045544061 cites W2160253850 @default.
• W2045544061 cites W2162757877 @default.
• W2045544061 cites W2165098241 @default.
• W2045544061 cites W2167435391 @default.
• W2045544061 cites W2174056583 @default.
• W2045544061 cites W2599283816 @default.
• W2045544061 cites W2797256054 @default.
• W2045544061 cites W3098371892 @default.
• W2045544061 cites W3098414429 @default.
• W2045544061 cites W3099530345 @default.
• W2045544061 cites W3099582894 @default.
• W2045544061 cites W3101371196 @default.
• W2045544061 cites W3103830743 @default.
• W2045544061 cites W3104495472 @default.
• W2045544061 cites W3104638405 @default.
• W2045544061 cites W3105120859 @default.
• W2045544061 cites W3106024736 @default.
• W2045544061 cites W3106037155 @default.
• W2045544061 cites W3121331157 @default.
• W2045544061 cites W4205571174 @default.
• W2045544061 cites W4229672964 @default.
• W2045544061 cites W4247170580 @default.
• W2045544061 cites W4256411646 @default.
• W2045544061 doi "https://doi.org/10.1103/physrevd.83.103512" @default.
• W2045544061 hasPublicationYear "2011" @default.

• next