# Gießen 2024 – wissenschaftliches Programm

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# GR: Fachverband Gravitation und Relativitätstheorie

## GR 11: Relativistic Astrophysics II

### GR 11.2: Vortrag

### Mittwoch, 13. März 2024, 16:05–16:25, HBR 14: HS 2

Constraining the nuclear equation of state from rotating neutron stars — •Sebastian H. Völkel^{1} and Christian J. Krüger^{2} — ^{1}Max Planck Institute for Gravitational Physics (Albert Einstein Institute), D-14476 Potsdam, Germany — ^{2}Theoretical Astrophysics, IAAT, University of Tübingen, D-72076 Tübingen, Germany

Inferring the nuclear equation of state from neutron stars is a fascinating research objective that calls for accurate and efficient modeling. Due to computational and technical difficulties, most existing works that focus on equation of state inference neglect rotational effects. In this talk, I will review a Bayesian parameter estimation framework that was first introduced in [1] for slowly rotating neutron stars, and more recently extended to fast rotation in [2]. The framework allows to convert measurements of bulk properties of rotating neutron stars, e.g., their masses, radii, but also moments of inertia, and some f-mode frequencies, to bounds on the popular piecewise polytropic equation of state. The key for efficient parameter estimation is the use of novel universal relations and the construction of a template bank. While slow rotation can be well justified in the presence of large measurement uncertainties and slowly rotating stars, it can lead to significant bias for moderately rotating neutron stars and future, high accuracy measurements.

[1] Völkel and Krüger, PRD 105 124071 (2022), arXiv:2203.05555

[2] Krüger and Völkel, accepted in PRD, arXiv:2309.05643

**Keywords: **rotating neutron stars; equation of state; bayesian analysis; universal relations; gravitational waves