Constraining a nonminimally coupled curvature-matter gravity model with ocean experiments

Abstract

We examine the constraints on the Yukawa regime from the non-minimally coupled curvature-matter gravity theory arising from deep underwater ocean experiments. We consider the geophysical experiment of Zumberge et al. of 1991 for searching deviations of Newton's inverse square law in ocean. In the context of non-minimally coupled curvature-matter theory of gravity the results of Zumberge et al. can be used to obtain an upper bound both on the strength $\alpha$ and range $\lambda$ of the Yukawa potential arising from the non-relativistic limit of the non-minimally coupled theory. The existence of an upper bound on $\lambda$ is related to the presence of an extra force, specific of the nonminimally coupled theory, which depends on $\lambda$ and on the gradient of mass density, and has an effect in the ocean because of compressibility of seawater. These results can be achieved after a suitable treatment of the conversion of pressure to depth in the ocean by resorting to the equation of state of seawater and taking into account the effect of the extra force on hydrostatic equilibrium. If the sole Yukawa interaction were present the experiment would yield only a bound on $\alpha$, while, in the presence of the extra force we find an upper bound on the range: ${\lambda }_{\max }=57.4$ km. In the interval $1\mathrm{m}<\lambda <{\lambda }_{\max }$ the upper bound on $\alpha$ is consistent with the constraint $\alpha <0.002$ found in Zumberge et al.

arXiv comment17 pages, 5 figures

References in corpus (22)

• f(R) theories
• Extended Theories of Gravity
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Curvature Quintessence
• Extra force in $f(R)$ modified theories of gravity
• Tests of the Gravitational Inverse-Square Law
• Progress in Lunar Laser Ranging Tests of Relativistic Gravity
• Nonminimal coupling of perfect fluids to curvature
• Modified gravity with R-matter couplings and (non-)geodesic motion
• Accelerated expansion from a non-minimal gravitational coupling to matter
• Reheating via a generalized non-minimal coupling of curvature to matter
• Mimicking dark matter through a non-minimal gravitational coupling with matter
• Mimicking dark matter in galaxy clusters through a non-minimal gravitational coupling with matter
• Cosmological perturbations in theories with non-minimal coupling between curvature and matter
• On the dynamics of perfect fluids in non-minimally coupled gravity
• Covariant equations of motion for test bodies in gravitational theories with general nonminimal coupling
• Solar System constraints to nonminimally coupled gravity
• Conservation laws in gravitational theories with general nonminimal coupling
• Equations of motion in gravity theories with nonminimal coupling: a loophole to detect torsion macroscopically?
• Perturbation of the metric around a spherical body from a nonminimal coupling between matter and curvature
• Unraveling gravity beyond Einstein with extended test bodies
• The 1/c expansion of nonminimally coupled curvature-matter gravity model and constraints from planetary precession

Cited by in corpus (7)

• Generalizing the coupling between geometry and matter: $f(R,L_m,T)$ gravity
• Non-minimal geometry-matter couplings in Weyl-Cartan space-times: $f(R,T,Q,T_m)$ gravity
• Cassini and extra force constraints to nonminimally coupled gravity with screening mechanism
• Nuclear Limits on Non-Minimally Coupled Gravity
• Constrained transit cosmological models in $f(R,L_m,T)$-gravity
• Pressureless stationary solutions in a Newton-Yukawa gravity model
• Cosmological implications and causality in $f(R,L_m,T)$ gravity theory with observational constraints