Tests of gravitational scalar polarization and constraints of chameleon $f(R)$ gravity from comprehensive analysis of binary pulsars

Abstract

Chameleon $f(R)$ gravity is equivalent to a class of scalar-tensor theories of gravity with chameleon screening mechanism allowing the theory to satisfy local tests of gravity. Within the framework of chameleon $f(R)$, we study the impact of the chameleon mechanism on the orbital evolution of binary pulsars, and calculate in detail the post-Keplerian (PK) effects (periastron advance, Einstein delay, Shapiro delay, orbital period decay and eccentricity decay) of binary orbit. The differences in PK effects between general relativity (GR) and chameleon $f(R)$ are elegantly quantified by a combination of star's compactness and theory parameter. We use the mass-radius relation to break the degeneracy between these two parameters, thus allowing us to constrain the theory. We simulate the temporal evolution of the orbital period and eccentricity of neutron star (NS) - white dwarf (WD) binaries, and the results indicate that the orbital evolution is typically faster than in GR due to the emission of dipole radiation in chameleon $f(R)$. We use the observables of PK parameters from the three NS-WD binary pulsars to place constraints on chameleon $f(R)$ and possible deviations from GR by performing Monte-Carlo simulations. We find that PSR J1738$+$0333 is the most constraining test of chameleon $f(R)$ in these systems. Our results show no solid evidence of the existence of helicity-0 or helicity-1 polarization states inducing dipole radiation, exclude significant strong-field deviations and confirm that GR is still valid for strong-field asymmetric systems.

arXiv comment11 pages, 5 figures, 2 tables, Phys.Rev.D accepted

References in corpus (30)

• f(R) Theories Of Gravity
• The Confrontation between General Relativity and Experiment
• A Massive Pulsar in a Compact Relativistic Binary
• f(R) theories
• The equation of state for nucleon matter and neutron star structure
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• Beyond the Cosmological Standard Model
• Tensor-scalar gravity and binary-pulsar experiments
• The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity
• Testing General Relativity with Pulsar Timing
• f(R) Gravity and Chameleon Theories
• Gravitational-wave versus binary-pulsar tests of strong-field gravity
• Gravitational radiation from compact binary systems in the massive Brans-Dicke theory of gravity
• Strong Binary Pulsar Constraints on Lorentz Violation in Gravity
• Gravitational-radiation losses from the pulsar-white-dwarf binary PSR J1141-6545
• Dynamical Masses in Modified Gravity
• Piercing the Vainshtein screen with anomalous gravitational wave speed: Constraints on modified gravity from binary pulsars
• Scalar self-interactions loosen constraints from fifth force searches
• Testing Brans-Dicke gravity using the Einstein telescope
• Constraining f(R) gravity in solar system, cosmology and binary pulsar systems
• Gravitational radiation from compact binary systems in screened modified gravity
• Waveforms of compact binary inspiral gravitational radiation in screened modified gravity
• Post-Newtonian parameters and cosmological constant of screened modified gravity
• The Scintillation Velocity of the Relativistic Binary Pulsar PSR J1141-6545
• Angular momentum loss for eccentric compact binary in screened modified gravity
• Constraining the scalar-tensor gravity theories with and without screening mechanisms by combined observations
• Universal predictions of screened modified gravity on cluster scales
• Constraints of general screened modified gravities from comprehensive analysis of binary pulsars

Cited by in corpus (3)

• Constraining Quadratic $f(R)$ Gravity from Astrophysical Observations of the Pulsar J0704+6620
• Constraining the attractive fifth force in the general free scalar-tensor gravity with solar system experiments
• Testing screened scalar-tensor theories of gravity with atomic clocks