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Gravitational microlensing in Verlinde's emergent gravity · Around

2016

Gravitational microlensing in Verlinde's emergent gravity

Liu, Lei-Hua, Prokopec, Tomislav

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We propose gravitational microlensing as a way of testing the emergent gravity theory recently proposed by Eric Verlinde~\cite{Verlinde:2016toy}.

We consider two limiting cases: the dark mass of maximally anisotropic pressures (Case I) and of isotropic pressures (Case II).
Our analysis of perihelion advancement of a planet shows that only Case I yields a viable theory.
In this case the metric outside a star of mass $M_*$ can be modeled by that of a point-like global monopole whose mass is $M_*$ and a deficit angle $\Delta = \sqrt{(2GH_0M_*)/(3c^3)}$, where $H_0$ is the Hubble rate and $G$ the Newton constant.

Built on

M. Barriola and A. Vilenkin, “Gravitational Field of a Global Monopole,” Phys. Rev. Lett. 63
1989
Earlier work this paper cites.
S. Mao, “Astrophysical Applications of Gravitational Microlensing,” Res. Astron. Astrophys. 12
Original
2012
Earlier work this paper cites.
A. Marunović and M. Murković, “A novel black hole mimicker: a boson star and a global monopole nonminimally coupled to gravity,” Class. Quant. Grav. 31
Original
2014
Earlier work this paper cites.

Similar

S. Rahvar, “Gravitational microlensing I: A unique astrophysical tool,” Int. J. Mod. Phys. D 24
2015
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A. Marunovic and T. Prokopec, “Global monopoles can change Universe’s topology,” Phys. Lett. B 756
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2016
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A. Marunovic and T. Prokopec, “Topological inflation with graceful exit,” JCAP 1604
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2016
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E. P. Verlinde, “Emergent Gravity and the Dark Universe,” arXiv:1611.02269 [hep-th]
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http://www.cosmos.esa.int/web/gaia
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A. Hees, D. Hestroffer, C. Le Poncin-Lafitte and P. David, “Tests of gravitation with Gaia observations of Solar System Objects,” arXiv:1509.06868 [gr-qc]
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S. Doeleman et al
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http://www.eventhorizontelescope.org/
Cited in the paper.
M. M. Brouwer et al
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Cited in the paper.
L. Iorio, “Are we close to put the anomalous perihelion precessions from Verlinde’s emergent gravity to the test?,” arXiv:1612.03783 [gr-qc]
Original
Cited in the paper.

Then

A. Spagna, M. Crosta, M. G. Lattanzi and P. Re Fiorentin, “The Gaia mission: the dawn of Astrometric Cosmology? Status and prospects after 14 months of science operations,” J. Phys. Conf. Ser. 718
2016
Closest in time.
J. Wambsganss, “Discovering Extrasolar Planets with Microlensing Surveys,” ASP Conf. Ser. 505
2016
Closest in time.

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