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arXiv · 2609.11902

Energy accreted onto a compact star

Kaiser Arf·Kai Schwenzer
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Abstract

We compute the energy gained by accretion onto a compact star due to matter falling from the inner edge of a thin accretion disk. We employ a controlled slow-rotation expansion based on the Hartle-Thorne metric and find that in neutron stars in general only leading order rotational corrections to the metric, describing frame dragging, are sizable. However, for accretion onto a magnetized neutron star, where the disk roughly extends to the co-rotation radius, even frame dragging effects are minor. Based on general conservation laws we then derive simple, equation-of-state-independent expressions for the spin-up and heating energy, consistently including the relevant rotational, relativistic and nuclear effects, and find that in observed accreting millisecond sources the results can strongly deviate from presently employed estimates.

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Kaiser Arf, Kai Schwenzer. 2026-09-10. Energy accreted onto a compact star. https://arxiv.org/abs/2609.11902

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