Newtonian cosmology with a quantum bounce

P. Bargueño; S. Bravo Medina; M. Nowakowski; D. Batic

doi:10.1140/epjc/s10052-016-4386-0

Newtonian cosmology with a quantum bounce

P. Bargueño, S. Bravo Medina, M. Nowakowski, D. Batic

Mathematics

Universidad de Los Andes, Colombia

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

It has been known for some time that the cosmological Friedmann equation deduced from general relativity can also be obtained within the Newtonian framework under certain assumptions. We use this result together with quantum corrections to the Newtonian potentials to derive a set a of quantum corrected Friedmann equations. We examine the behavior of the solutions of these modified cosmological equations paying special attention to the sign of the quantum corrections. We find different quantum effects crucially depending on this sign. One such a solution displays a qualitative resemblance to other quantum models like Loop quantum gravity or non-commutative geometry.

Original language	British English
Article number	543
Journal	European Physical Journal C
Volume	76
Issue number	10
DOIs	https://doi.org/10.1140/epjc/s10052-016-4386-0
State	Published - 1 Oct 2016

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title = "Newtonian cosmology with a quantum bounce",

abstract = "It has been known for some time that the cosmological Friedmann equation deduced from general relativity can also be obtained within the Newtonian framework under certain assumptions. We use this result together with quantum corrections to the Newtonian potentials to derive a set a of quantum corrected Friedmann equations. We examine the behavior of the solutions of these modified cosmological equations paying special attention to the sign of the quantum corrections. We find different quantum effects crucially depending on this sign. One such a solution displays a qualitative resemblance to other quantum models like Loop quantum gravity or non-commutative geometry.",

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AU - Batic, D.

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AB - It has been known for some time that the cosmological Friedmann equation deduced from general relativity can also be obtained within the Newtonian framework under certain assumptions. We use this result together with quantum corrections to the Newtonian potentials to derive a set a of quantum corrected Friedmann equations. We examine the behavior of the solutions of these modified cosmological equations paying special attention to the sign of the quantum corrections. We find different quantum effects crucially depending on this sign. One such a solution displays a qualitative resemblance to other quantum models like Loop quantum gravity or non-commutative geometry.

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Newtonian cosmology with a quantum bounce

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