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19 April 2024 |
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f(R) in Holographic and Agegraphic Dark Energy Models and the Generalized Uncertainty Principle | Barun Majumder
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17 Jul 2013 | Abstract: | We studied a unified approach with the holographic, new agegraphic and the
$f(R)$ dark energy model to construct the form of $f(R)$ which in general
responsible for the curvature driven explanation of the very early inflation
along with presently observed late time acceleration. We considered the
generalized uncertainty principle in our approach which incorporated the
corrections in the entropy area relation and thereby modified the energy
densities for the cosmological dark energy models considered. We found that
holographic and new agegraphic $f(R)$ gravity models can behave like phantom or
quintessence models in the spatially flat FRW universe. We also found a
distinct term in the form of $f(R)$ which goes as $R^{frac{3}{2}}$ due to the
consideration of the GUP modified energy densities. Although the presence of
this term in the action can have its importance in explaining the early
inflationary scenario but Capozziello {it et.al.} recently showed that $f(R)
sim R^{frac{3}{2}}$ leads to an accelerated expansion, {it i.e.}, a negative
value for the deceleration parameter $q$ which fit well with SNeIa and WMAP
data. | Source: | arXiv, 1307.4448 | Services: | Forum | Review | PDF | Favorites |
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