Testing f(R)-theories using the first time derivative of the orbital period of the binary pulsars

Abstract

In this paper we use one of the Post-Keplerian parameters to obtain constraints on f(R)-theories of gravity. Using Minkowskian limit, we compute the prediction of f(R)-theories on the first time derivative of the orbital period of a sample of binary stars, and we use our theoretical results to perform a comparison with the observed one. Selecting a sample of relativistic binary systems we estimate the parameters of an analytic f(R)-gravity. We find that the theory is not ruled out if we consider only the double neutron star systems, and in this case we can cover the existing gap between the General Relativity prediction and the observed data.

10 pages, 3 figures, 2 tables Accepted for publication in Monthly Notices of the Royal Astronomical Society

References in corpus (9)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Tests of general relativity from timing the double pulsar
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity
• Timing Measurements of the Relativistic Binary Pulsar PSR B1913+16
• Measurement of Orbital Decay in the Double Neutron Star Binary PSR B2127+11C
• Gravitational-radiation losses from the pulsar-white-dwarf binary PSR J1141-6545
• Multi-telescope timing of PSR J1518+4904
• On Gravitational Radiation in Quadratic $f(R)$ Gravity

Cited by in corpus (41)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• f(T) teleparallel gravity and cosmology
• Testing General Relativity with Present and Future Astrophysical Observations
• Further stable neutron star models from f(R) gravity
• The Mass-Radius relation for Neutron Stars in $f(R)$ gravity
• BlackHoleCam: fundamental physics of the Galactic center
• No further gravitational wave modes in $F(T)$ gravity
• Cosmographic Constraints and Cosmic Fluids
• Dark matters on the scale of galaxies
• 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
• Constraining $f(R)$ gravity by the Large Scale Structure
• Constraining f(R) gravity in solar system, cosmology and binary pulsar systems
• Test-particle dynamics in general spherically symmetric black hole spacetimes
• Gravitational Waves in $F(R)$ Gravity: Scalar Waves and the Chameleon Mechanism
• The Polarizations of Gravitational Waves
• Numerical solutions of the modified Lane-Emden equation in f(R)-gravity
• Modified gravity revealed along geodesic tracks
• Anisotropic solutions in f(R) Gravity
• Dark matter admixed strange quark stars in the Starobinsky model
• Traversable wormhole models in $f(R)$ gravity
• The Galactic Center as a laboratory for theories of gravity and dark matter
• A $f(R)$-gravity model of the Sunyaev-Zeldovich profile of the Coma cluster compatible with {\it Planck} data
• The gravitational energy-momentum pseudo-tensor of Higher-Order Theories of Gravity
• Probing the physical and mathematical structure of $f(R)$ gravity by PSR $J0348+0432$
• Weak field limit and gravitational waves in higher-order gravity
• Constraining Energy-Momentum-Squared Gravity by binary pulsar observations
• PPN parameters in gravitational theory with nonminimally derivative coupling
• Dark stars in Starobinsky's model
• Constraints of general screened modified gravities from comprehensive analysis of binary pulsars
• Stringent Pulsar Timing Bounds on Light Scalar Couplings to Matter
• Neutron Stars in Modified Teleparallel Gravity
• Gravitational waves in higher-order $R^2$ gravity
• Effective field theory from modified gravity with massive modes
• Dark Energy as a Critical Period in Binary Motion: Bounds from Multi-scale Binaries
• Dynamics of dwarf galaxies in $f(R)$ gravity
• Gravitational Radiation from Compact Binary Pulsars
• Relativistic binary systems in scale-independent energy-momentum squared gravity
• Constraints on fourth order gravity from binary pulsar and gravitational waves
• Limiting the Yukawa Gravity through the Black Hole Shadows of Sgr A* and M87*
• Gravitational luminosity of a hot plasma in R^2 gravity