Testing modified gravity via Yukawa potential in two body problem: Analytical solution and observational constraints

Abstract

Many alternative theories of gravity screens a Yukawa-type potential. This article shows Keplerian-type parametrization as a solution of Yukawa type potential accurate equations of motion for two non-spinning compact objects moving in an eccentric orbit. A bound from the solar system is presented.

arXiv commentAccepted for Phys Rev D

References in corpus (63)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• emcee: The MCMC Hammer
• Dynamics of dark energy
• Extended Theories of Gravity
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Dark Energy and the Accelerating Universe
• Testing General Relativity with Present and Future Astrophysical Observations
• Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole
• Cosmological implications of baryon acoustic oscillation (BAO) measurements
• Scalar-Tensor-Vector Gravity Theory
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• PolyChord: nested sampling for cosmology
• Relativistic redshift of the star S0-2 orbiting the Galactic center supermassive black hole
• Bounding the mass of the graviton using gravitional-wave observations of inspiralling compact binaries
• Signals for Lorentz Violation in Post-Newtonian Gravity
• The orbit of the star S2 around SgrA* from VLT and Keck data
• An Improved Distance and Mass Estimate for Sgr A* from a Multistar Orbit Analysis
• Neutron-star mergers in scalar-tensor theories of gravity
• Third post-Newtonian accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits
• Baryon Acoustic Oscillations and the Hubble Constant: Past, Present and Future
• Simulations of extragalactic magnetic fields and of their observables
• On the cosmological constant problem
• Testing Scalar-Tensor Gravity Using Space Gravitational-Wave Interferometers
• Calibrating the cosmic distance scale ladder: the role of the sound horizon scale and the local expansion rate as distance anchors
• Investigating the Relativistic Motion of the Stars Near the Supermassive Black Hole in the Galactic Center
• Constraining the range of Yukawa gravity interaction from S2 star orbits
• Analysis of the Yukawa gravitational potential in $f(R)$ gravity I: semiclassical periastron advance
• Analysis of the Yukawa gravitational potential in $f(R)$ gravity II: relativistic periastron advance
• Cosmological constraints from baryon acoustic oscillations and clustering of large-scale structure
• Constraints on $R^n$ gravity from precession of orbits of S2-like stars
• Constraining the range of Yukawa gravity interaction from S2 star orbits II: Bounds on graviton mass
• Scalar field effects on the orbit of S2 star
• Testing Gravity with wide binary stars like $\alpha$ Centauri
• Orbital precession of the S2 star in Scalar-Tensor-Vector-Gravity
• Gravitational radiation from compact binary systems in screened modified gravity
• Solar System Tests in Modified Teleparallel Gravity
• Probing hybrid modified gravity by stellar motion around Galactic Centre
• $f(R)$-gravity after the detection of the orbital precession of the S2 star around the Galactic centre massive black hole
• Testing Modified Gravity with Wide Binaries in GAIA DR2
• A Modified Scalar-Tensor-Vector Gravity Theory and the Constraint on its Parameters
• Close stellar conjunctions of alpha Centauri A and B until 2050 - An mK = 7.8 star may enter the Einstein ring of alpha Cen A in 2028
• Binary Pulsar constraints on massless scalar-tensor theories using Bayesian statistics
• Forecast constraints on $f(T)$ gravity with gravitational waves from compact binary coalescences
• Solar System Constraints on Disformal Gravity Theories
• Constraints on Horndeski Theory Using the Observations of Nordtvedt Effect, Shapiro Time Delay and Binary Pulsars
• Roche Lobe Shapes for testing MOND-like Modified Gravity
• Constraining Non-local Gravity by S2 star orbits
• Prospects for constraining the spin of the massive black hole at the Galactic center via the relativistic motion of a surrounding star
• Testing Modified Gravity Theories via Wide Binaries and GAIA
• Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession
• Testing general relativity with compact-body orbits: A modified Einstein-Infeld-Hoffmann framework
• Probing a $r^{-n}$ modification of the Newtonian potential with Exoplanets
• A new line on the wide binary test of gravity
• Weakly-Gravitating Objects in dynamical Chern-Simons gravity and Constraints with Gravity Probe B
• Constraining modified gravity from tidal phenomena in binary stars
• PPN motion of the S-stars around Sgr A*
• Testing gravity with the Milky Way: Yukawa potential
• Interpretation of geodesy experiments in non-Newtonian theories of gravity
• Binary systems in Palatini-f(R) gravity
• Orbits in bootstrapped Newtonian gravity
• Single Particle Closed Orbit in Yukawa Potential
• The 1.5 post-Newtonian radiative quadrupole moment in the context of a nonlocal field theory of gravity

Cited by in corpus (15)

• Observational constraints on Yukawa cosmology and connection with black hole shadows
• Constraints on Yukawa gravity parameters from observations of bright stars
• Prospects for Constraining the Yukawa Gravity with Pulsars around Sagittarius A*
• Dark Universe Phenomenology from Yukawa Potential?
• Stringent Pulsar Timing Bounds on Light Scalar Couplings to Matter
• Multi-scale Constraints on Scalar-Field couplings to Matter: The Geodetic and Frame-Dragging Effects
• Addressing the Hubble tension in Yukawa cosmology?
• Constraining the attractive fifth force in the general free scalar-tensor gravity with solar system experiments
• Searching for new physics in the solar system with tetrahedral spacecraft formations
• The Eccentricity Distribution of Wide Binaries
• Probing dark fluids and modified gravity with gravitational lensing
• Constraints on a fifth force from the stellar orbits around the central supermassive black hole of the Milky Way
• Solar System Experiments in the Search for Dark Energy and Dark Matter
• Revisiting the two-body problem in Yukawa gravity and in a gravitational extension of the Buckingham potential
• Post-Newtonian Constraints on Scalar-Tensor Gravity