Observational tests of asymptotically flat R^2 spacetimes
arxiv(2024)
摘要
A novel class of Buchdahl-inspired metrics with closed-form expressions was
recently obtained based on Buchdahl's seminal work on searching for static,
spherically symmetric metrics in R^2 gravity in vacuo.
Buchdahl-inspired spacetimes provide an interesting framework for testing
predictions of R^2 gravity models against observations. To test
these Buchdahl-inspired spacetimes, we consider observational constraints
imposed on the deviation parameter, which characterizes the deviation of the
asymptotically flat Buchdahl-inspired metric from the Schwarzschild spacetime.
We utilize several recent solar system experiments and observations of the S2
star in the Galactic center and the black hole shadow. By calculating the
effects of Buchdahl-inspired spacetimes on astronomical observations both
within and outside of the solar system, including the deflection angle of light
by the Sun, gravitational time delay, perihelion advance, shadow, and geodetic
precession, we determine observational constraints on the corresponding
deviation parameters by comparing theoretical predictions with the most recent
observations. Among these constraints, we find that the tightest one comes from
the Cassini mission's measurement of gravitational time delay.
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