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arxiv: 1010.0823 · v1 · submitted 2010-10-05 · 🌀 gr-qc

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One-loop quantum cosmological correction to the gravitational constant in the closed Friedmann-Robertson-Walker universe

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classification 🌀 gr-qc
keywords quantumclosedconstantcorrectionscosmologicalfriedmann-robertson-walkergravitationalone-loop
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In this paper, we calculate the one-loop quantum cosmological corrections to the kink energy in the closed Friedmann-Robertson-Walker universe in which the fluctuation potential $V^{\prime\prime}$ has a shape invariance property. We use the generalized zeta function regularization method to implement our setup for describing quantum kink-like states. It is conjectured that the corrections lead to the renormalized gravitational constant.

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