1 / R curvature corrections as the source of the cosmological acceleration

By D. Vollick. 2003

296 citations recorded by the source corpus.

Corrections to Einstein's equations that become important at small curvatures are considered. The field equations are derived using a Palatini variation in which the connection and metric are varied independently. In contrast with the Einstein-Hilbert variation, which yields fourth order equations, the Palatini approach produces second order equations in the metric. The Lagrangian $L(R)=R\ensuremath{-}{\ensuremath{\alpha}}^{2}/R$ is examined and it is shown that it leads to equations whose solutions approach a de Sitter universe at late times. Thus, the inclusion of $1/R$ curvature terms in the gravitational action offers an alternative explanation for the cosmological acceleration.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/af1fa23cd1bd8b8f89289573d7d6c452bfde294c

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Citations in the corpus

The Conformal frame freedom in theories of gravitation (2004, methodology): “It is precisely this type of fallacy which Vollick [8] claims occurs in our analysis [9].”
f(R) Theories Of Gravity (2008, background): “As an example, we choose f(R) = R − µ4/R (Carroll et al., 2004; Vollick, 2003).”
Modified Gravity and Cosmology (2011, unknown): “For studies of weak field gravity in the Palatini formalism the reader is referred to [92, 429, 881, 999, 30, 1000, 1163, 1001, 1078, 224, 665, 31, 1077], and for cosmology to [1251, 509, 883, 28, 882, 884, 29, 1162, 1164, 724, 34, 727, 258, 793, 1232, 725, 781, 782, 497].”