Minimal exponential measure model in the post-Newtonian limit

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.

14 pages, 3 figures. Matches published version

References in corpus (11)

• Quantum Gravity at a Lifshitz Point
• Phenomenological Review on Quark-Gluon Plasma: Concepts vs. Observations
• Surface singularities in Eddington-inspired Born-Infeld gravity
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• Disformal transformation of cosmological perturbations
• Inflationary gravitational waves in consistent $D\to 4$ Einstein-Gauss-Bonnet gravity
• Minimally Modified Gravity fitting Planck data better than $\Lambda$CDM
• Minimally modified gravity with an auxiliary constraint: a Hamiltonian construction
• New class of generalized coupling theories
• Non-Gaussianity in multi-sound-speed disformally coupled inflation
• Generalising the matter coupling in massive gravity: a search for new interactions

Cited by in corpus (4)

• Bounce Cosmologies in Generalized Coupling Theories
• Dust stars in the minimal exponential measure model
• Matter-antimatter asymmetry in generalized coupling theories
• Junction conditions and sharp gradients in generalized coupling theories