Minimal exponential measure model in the post-Newtonian limit

Justin C. Feng, Shinji Mukohyama, and Sante Carloni
Phys. Rev. D 103, 084055 – Published 29 April 2021

Abstract

We examine the post-Newtonian limit of the minimal exponential measure (MEMe) model presented in [J. C. Feng, S. Carloni, Phys. Rev. D 101, 064002 (2020)] using an extension of the parameterized post-Newtonian (PPN) formalism which is also suitable for other type-I minimally modified gravity theories. The new PPN expansion is then used to calculate the monopole term of the post-Newtonian gravitational potential and to perform an analysis of circular orbits within spherically symmetric matter distributions. The latter shows that the behavior does not differ significantly from that of general relativity for realistic values of the MEMe model parameter q. Instead the former shows that one can use precision measurements of Newton’s constant G to improve the constraint on q by up to 10 orders of magnitude.

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  • Received 7 December 2020
  • Accepted 25 March 2021

DOI:https://doi.org/10.1103/PhysRevD.103.084055

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Justin C. Feng1, Shinji Mukohyama2,3, and Sante Carloni4

  • 1CENTRA, Departamento de Física, Instituto Superior Técnico (IST), Universidade de Lisboa (UL), Avenida Rovisco Pais 1, 1049 Lisboa, Portugal
  • 2Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
  • 3Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan
  • 4DIME Sezione Metodi e Modelli Matematici, Università di Genova, Via All’Opera Pia 15, 16145 Genoa, Italy

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Issue

Vol. 103, Iss. 8 — 15 April 2021

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