Bounding the Cosmological Constant using Galactic Rotation Curves from the SPARC Dataset

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Main Authors: Benisty, David, Vasak, David, Struckmeier, Jürgen, Stöcker, Horst
Format: Preprint
Published: 2024
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author Benisty, David
Vasak, David
Struckmeier, Jürgen
Stöcker, Horst
author_facet Benisty, David
Vasak, David
Struckmeier, Jürgen
Stöcker, Horst
contents Dark energy (and its simplest model, the Cosmological Constant or $Λ$) acts as a repulsive force that opposes gravitational attraction. Assuming galaxies maintain a steady state over extended periods, the estimated upper limit on $Λ$ studies its pushback to the attractive gravitational force of dark matter. From the SPARC dataset, we select galaxies that are best fitted by the Navarro-Frenk-White (NFW) and Hernquist density models. Introducing the presence of $Λ$ in these galaxies helps to establish the upper limit on its repulsive force. This upper limit on $Λ$ is around $ρ_{\left(<Λ\right)} \sim 10^{-25}$~kg/m$^3$, only two orders of magnitude higher than the one measured by Planck. {We show that for galaxies with detectable velocities far from the galaxy core, the upper limit on $Λ$ is lower. Furthermore, we show that galaxies and other systems follow the same principle: for larger orbital periods the upper limit on $Λ$ is lower. Consequently, we address the implications for future measurements on the upper limit and the condition for detecting the impact of $Λ$ on galactic scales.
format Preprint
id arxiv_https___arxiv_org_abs_2405_16650
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Bounding the Cosmological Constant using Galactic Rotation Curves from the SPARC Dataset
Benisty, David
Vasak, David
Struckmeier, Jürgen
Stöcker, Horst
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
Dark energy (and its simplest model, the Cosmological Constant or $Λ$) acts as a repulsive force that opposes gravitational attraction. Assuming galaxies maintain a steady state over extended periods, the estimated upper limit on $Λ$ studies its pushback to the attractive gravitational force of dark matter. From the SPARC dataset, we select galaxies that are best fitted by the Navarro-Frenk-White (NFW) and Hernquist density models. Introducing the presence of $Λ$ in these galaxies helps to establish the upper limit on its repulsive force. This upper limit on $Λ$ is around $ρ_{\left(<Λ\right)} \sim 10^{-25}$~kg/m$^3$, only two orders of magnitude higher than the one measured by Planck. {We show that for galaxies with detectable velocities far from the galaxy core, the upper limit on $Λ$ is lower. Furthermore, we show that galaxies and other systems follow the same principle: for larger orbital periods the upper limit on $Λ$ is lower. Consequently, we address the implications for future measurements on the upper limit and the condition for detecting the impact of $Λ$ on galactic scales.
title Bounding the Cosmological Constant using Galactic Rotation Curves from the SPARC Dataset
topic Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2405.16650