Reconstructing f(R) gravity from a Chaplygin scalar field in de Sitter spacetimes
2018 ◽
Vol 15
(02)
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pp. 1850027
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We present a reconstruction technique for models of [Formula: see text] gravity from the Chaplygin scalar field in flat de Sitter spacetimes. Exploiting the equivalence between [Formula: see text] gravity and scalar–tensor (ST) theories, and treating the Chaplygin gas (CG) as a scalar field model in a universe without conventional matter forms, the Lagrangian densities for the [Formula: see text] action are derived. Exact [Formula: see text] models and corresponding scalar field potentials are obtained for asymptotically de Sitter spacetimes in early and late cosmological expansion histories. It is shown that the reconstructed [Formula: see text] models all have General Relativity (GR) as a limiting solution.
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2018 ◽
Vol 27
(08)
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pp. 1850087
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2004 ◽
Vol 19
(10)
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pp. 761-768
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2016 ◽
Vol 13
(10)
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pp. 1650120
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1999 ◽
Vol 08
(06)
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pp. 725-729
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