Pulsars Around a Black Hole: Cosmic Clocks express

Original: "A Realistic Pulsar -- Supermassive Black Hole Timing Model"
· Zexin Hu, Ziming Wang, Lijing Shao
arXiv:2602.19546 · 2026-02-23 · CC BY 4.0 · 1 min
Pulsars are beacons that will help us peer into the heart of our Galaxy.

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At the center of our Galaxy lurks the supermassive black hole Sagittarius A* — a heavyweight that holds stars in its grip. Astronomers dream of finding pulsars near it: these cosmic lighthouses emit radio pulses with the precision of atomic clocks. If you catch such a pulsar in orbit around the black hole, you can measure how space and time are warped in its vicinity.

New work offers a realistic model for such observations. The scientists accounted not only for the pulsar's ordinary motion but also for subtle delays that arise when a light ray bends around the black hole. For the first time, they included the proper motion of Sagittarius A* — the black hole is not stationary; it shifts slightly, and this affects measurements.

The black hole at the Galactic center weighs as much as four million suns, yet it moves — like a heavy ball slowly rolling across a table.

The model was tested against possible disturbances — for instance, if the pulsar turns out to be ordinary rather than millisecond, its signal may be noisy. It's like listening to a ticking clock in a noisy workshop: you need to pick out the useful signal. The authors showed which black hole parameters can be measured most accurately and proposed a data analysis procedure. Such a model will become a working tool for future sky surveys conducted by next-generation radio telescopes.

Original abstract

as written by the authors arXiv:2602.19546

Timing observation of pulsars orbiting around a supermassive black hole (SMBH) can measure the spacetime around the SMBH to a high precision and thus be a novel probe of the gravity theory. Future high-frequency surveys of the Galactic Centre (GC) region to be performed by the next-generation radio telescopes, such as the SKA, may discover pulsars that orbit around Sagittarius A* (Sgr A*), the SMBH dwelling in our GC. In this paper, we present a realistic pulsar-SMBH timing model based on the post-Newtonian equations of motion of the pulsar. Considering the expected timing precision in the future, we take into account several next-to-leading order light propagation time delays in the timing model. For the first time, we include the effects of proper motion of Sgr A*, which were expected to break the spin measurement degeneracy. We forecast the measurement precision of various parameters of Sgr A*, and discuss the data analysis procedure in the presence of red noise, which can be strong if the pulsar is a normal pulsar. The realistic timing model constructed in this study will serve as a useful tool in future searching and timing of pulsar-SMBH systems in the GC.

Pulsars are so stable that they are used to check Earth's atomic clocks — they rival the best laboratory standards in precision.

In Michael Crichton's novel "Sphere," characters use signals from deep space to understand the unknown — pulsars around a black hole could be just such signals.

Scientists
Stephen HawkingJacob BekensteinFritz ZwickyBernhard RiemannJoseph WeberKarl Schwarzschild
Concepts
pulsar timing array milky way central black hole pulsar companion nanograv supermassive black hole reverberation mapping swift satellite galactic center blazar x ray pulse scalar perturbations proper time magnetar pulsations in grb blazar monitoring radio loud quasar GPS m87 oscillation period host galaxy Hubble Space Telescope