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- W3100868971 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, $dddot{nu}$. For PSR B1913+16, the constraint from $dddot{nu}$ is even tighter than that from $ddot{nu}$. We combine multiple pulsars with Bayesian inference, and obtain an upper limit, $left|zeta_{2}right|<1.3times10^{-5}$ 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, $dddot{nu}$ can yield more constraining limits than $ddot{nu}$." @default.
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- W3100868971 date "2020-07-24" @default.
- W3100868971 modified "2023-10-14" @default.
- W3100868971 title "Tests of Conservation Laws in Post-Newtonian Gravity with Binary Pulsars" @default.
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- W3100868971 doi "https://doi.org/10.3847/1538-4357/ab9dfe" @default.
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