Classical Euclidean wormhole solutions in Palatini $f(\tilde{R})$ cosmology

Details Classical Euclidean wormhole solutions in Palatini $f(\tilde{R})$ cosmology Classical Euclidean wormhole solutions in Palatini $f(\tilde{R})$ cosmology

2011-10-25

arxiv.org/abs/1110.5485v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages

Scientific paper

We study the classical Euclidean wormholes in the context of Palatini $f(\tilde{R})$ cosmology. We use the dynamical equivalence between $f(\tilde{R})$ gravity and scalar-tensor theories to construct a point-like Lagrangian in the flat FRW space time. We first show the dynamical equivalence between Palatini $f(\tilde{R})$ gravity and the Brans-Dicke theory with self-interacting potential, and then show the dynamical equivalence between the Brans-Dicke theory with self-interacting potential and the minimally coupled O'Hanlon theory. We show the existence of new Euclidean wormhole solutions for this O'Hanlon theory and, for an special case, find out the corresponding form of $f(\tilde{R})$ having wormhole solution. For small values of the Ricci scalar, this $f(\tilde{R})$ is in agreement with the wormhole solution obtained for higher order gravity theory $\tilde{R}+\epsilon \tilde{R}^2\:,\: \epsilon<0$.

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