Tests of conservation laws in post-Newtonian gravity with binary pulsars

Abstract

General relativity is a fully conservative theory, but there exist other possible metric theories of gravity. We consider non-conservative ones with a parameterized post-Newtonian (PPN) parameter, ${\zeta }_2$. A non-zero ${\zeta }_2$ induces a self-acceleration for the center of mass of an eccentric binary pulsar system, which contributes to the second time derivative of the pulsar spin frequency, $\ddot{\nu }$. In our work, using the method in Will (1992), we provide an improved analysis with four well-timed, carefully-chosen binary pulsars. In addition, we extend Will's method and derive ${\zeta }_2$'s effect on the third time derivative of the spin frequency, $\stackrel{...}{\nu }$. For PSR B1913+16, the constraint from $\stackrel{...}{\nu }$ is even tighter than that from $\ddot{\nu }$. We combine multiple pulsars with Bayesian inference, and obtain an upper limit, $\left|{\zeta }_2\right|<1.3\times 10^{-5}$ at 95% confidence level, assuming a flat prior in ${\log }_{10}\left|{\zeta }_2\right|$. It improves the existing bound by a factor of three. Moreover, we propose an analytical timing formalism for ${\zeta }_2$. Our simulated times of arrival with simplified assumptions show binary pulsars' capability in limiting ${\zeta }_2$, and useful clues are extracted for real data analysis in future. In particular, we discover that for PSRs B1913+16 and J0737$-$3039A, $\stackrel{...}{\nu }$ can yield more constraining limits than $\ddot{\nu }$.

arXiv comment14 pages, 5 figures, 4 tables; accepted by ApJ

References in corpus (29)

• The Confrontation between General Relativity and Experiment
• The ATNF Pulsar Catalogue
• Testing General Relativity with Present and Future Astrophysical Observations
• Tests of general relativity from timing the double pulsar
• Switched magnetospheric regulation of pulsar spin-down
• The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity
• Testing General Relativity with Pulsar Timing
• An analysis of the timing irregularities for 366 pulsars
• Assessing the Role of Spin Noise in the Precision Timing of Millisecond Pulsars
• Relativistic Measurements from Timing the Binary Pulsar PSR B1913+16
• Bounding the mass of the graviton using binary pulsar observations
• Measurement of Orbital Decay in the Double Neutron Star Binary PSR B2127+11C
• A Comprehensive Study of Relativistic Gravity using PSR B1534+12
• Long-term observations of the pulsars in 47 Tucanae - II. Proper motions, accelerations and jerks
• PSR J1756$-$2251: a pulsar with a low-mass neutron star companion
• The Binary Companion of Young, Relativistic Pulsar J1906+0746
• Tests of local Lorentz invariance violation of gravity in the standard model extension with pulsars
• The High Time Resolution Universe Pulsar Survey - XIII. PSR J1757-1854, the most accelerated binary pulsar
• New tests of local Lorentz invariance of gravity with small-eccentricity binary pulsars
• A new limit on local Lorentz invariance violation of gravity from solitary pulsars
• Distant Companions and Planets around Millisecond Pulsars
• The noise properties of 42 millisecond pulsars from the European Pulsar Timing Array and their impact on gravitational wave searches
• Pulsars and Gravity
• New pulsar limit on local Lorentz invariance violation of gravity in the standard-model extension
• Tests of gravitational symmetries with radio pulsars
• Arecibo HI Absorption Measurements of Pulsars and the Electron Density at Intermediate Longitudes in the First Galactic Quadrant
• Testing velocity-dependent CPT-violating gravitational forces with radio pulsars
• Bounding the mass of graviton in a dynamic regime with binary pulsars
• On tests of general relativity with binary radio pulsars

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• Gravity experiments with radio pulsars
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• Stringent Tests of Gravity with Highly Relativistic Binary Pulsars in the Era of LISA and SKA
• New limits on the local Lorentz invariance violation of gravity in the Standard-Model Extension with pulsars
• Moment of Inertia for Axisymmetric Neutron Stars in the Standard-Model Extension