$f(R)$-Cosmolgy from Early Universe Upto Future Cosmic Collapse and its Avoidance

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dc.creatorSrivastava, S. K.
dc.date2008-09-11
dc.date.accessioned2026-07-07T10:02:13Z
dc.date.available2026-07-07T10:02:13Z
dc.descriptionIn the present model, a unified picture of cosmology from early inflation to late acceleration is obtained from $ f(R)-$ gravity with non-linear terms $ R^2 $ and $ R^5 $ of scalar curvature $R$. It is discussed that elementary particles and radiation are produced during early inflation. The emitted radiation thermalizes the universe to a very high temperature $ \sim 10^{18}{\rm GeV}$. The exit of the universe from inflationary phase is followed by deceleration due to radiation-dominance heralding the standard cosmology with background radiation having the initial temperature $ \sim 10^{18}{\rm GeV}$. It is found that dark matter is induced by curvature and baryonic matter is produced during inflation. Radiation-dominated phase is followed by deceleration due to matter-dominance. The curvature-induced phantom dark energy dominates at the red-shift $ z = 0.303 $ causing the late acceleration. It is found that the universe will collapse in future. Further, it is investigated that back-reaction of quantum particles produced near the collapse time can avoid cosmic collapse and the universe will escape to revival of the state of early universe.
dc.description44 pages
dc.identifierhttps://arxiv.org/abs/0809.1950
dc.identifierhttp://arxiv.org/abs/0809.1950
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168898
dc.subjectGeneral Relativity and Quantum Cosmology
dc.title$f(R)$-Cosmolgy from Early Universe Upto Future Cosmic Collapse and its Avoidance
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