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Five percent measurement of the gravitational constant in the Large Magellanic Cloud

Abstract:
We perform a novel test of general relativity by measuring the gravitational constant in the Large Magellanic Cloud (LMC). The LMC contains six well-studied Cepheid variable stars in detached eclipsing binaries. Radial velocity and photometric observations enable a complete orbital solution, and precise measurements of the Cepheids' periods permit detailed stellar modelling. Both are sensitive to the strength of gravity, the former via Kepler's third law and the latter through the gravitational free-fall time. We jointly fit the observables for stellar parameters and the gravitational constant. Performing a full Markov Chain Monte Carlo analysis of the parameter space including all relevant nuisance parameters, we constrain the gravitational constant in the Large Magellanic Cloud relative to the Solar System to be ${G}_{\mathrm{LMC}}/{G}_{\mathrm{SS}}=0.9{3}_{\ensuremath{-}0.04}^{+0.05}$. We discuss the implications of this 5% measurement of Newton's constant in another galaxy for dark energy and modified gravity theories. This result excludes one Cepheid, CEP-1812, which is an outlier and needs further study: it is either a highly unusual system to which our model does not apply, or it prefers ${G}_{\mathrm{LMC}}<{G}_{\mathrm{SS}}$ at $2.6\ensuremath{\sigma}$. We also obtain new bounds on critical parameters that appear in semianalytic descriptions of stellar processes. In particular, we measure the mixing length parameter to be $\ensuremath{\alpha}=0.9{0}_{\ensuremath{-}0.26}^{+0.36}$ (when assumed to be constant across our sample), and obtain constraints on the parameters describing turbulent dissipation and convective flux.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/physrevd.103.024028

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Institution:
University of Oxford
Role:
Author
ORCID:
0000-0003-0685-9791
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Role:
Author
ORCID:
0000-0002-9780-0922
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Role:
Author
ORCID:
0000-0002-8220-3973


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Funder identifier:
10.13039/100000015
Grant:
DE-SC0007901
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Funder identifier:
10.13039/100010663
Grant:
693024
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Funder identifier:
10.13039/501100000271
Grant:
ST/K000373/1
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Funder identifier:
10.13039/100000104
Grant:
NNH17ZDA001N
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Funder identifier:
10.13039/501100000738


Publisher:
American Physical Society
Journal:
Physical Review D (particles, fields, gravitation, and cosmology) More from this journal
Volume:
103
Issue:
2
Pages:
024028
Article number:
024028
Publication date:
2021-01-13
Acceptance date:
2020-12-22
DOI:
EISSN:
2470-0029
ISSN:
2470-0010


Language:
English
Keywords:
Pubs id:
1175846
Local pid:
pubs:1175846
Source identifiers:
W3111045769
Deposit date:
2026-03-24
ARK identifier:
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