Neutron star evolution with the Bemfica-Disconzi-Noronha-Kovtun viscous hydrodynamics framework

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Autori principali: Shum, Harry L. H., Abalos, Fernando, Bea, Yago, Bezares, Miguel, Figueras, Pau, Palenzuela, Carlos
Natura: Preprint
Pubblicazione: 2025
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author Shum, Harry L. H.
Abalos, Fernando
Bea, Yago
Bezares, Miguel
Figueras, Pau
Palenzuela, Carlos
author_facet Shum, Harry L. H.
Abalos, Fernando
Bea, Yago
Bezares, Miguel
Figueras, Pau
Palenzuela, Carlos
contents The recently proposed first-order viscous relativistic hydrodynamics formulation by Bemfica, Disconzi, Noronha, and Kovtun (commonly known as the BDNK formulation) has been shown to be causal, stable, strongly hyperbolic, and thus locally well-posed. It is now a viable new option for modelling out-of-equilibrium effects in fluids, and has attracted wide attention in its potential applications to astrophysical systems. In this work, we present the first non-linear numerical simulation of spherically symmetric neutron stars using the BDNK formulation under the Cowling approximation. Using a simplified equation of state, we show that stable evolutions can be constructed within a restricted parameter space up to the simulation time we explored. From these simulations, we analyse the frequency content of the quasi-normal modes and the decay rate of the fundamental mode. This analysis serves as a first step towards constructing a fully consistent model of neutron stars using the BDNK formulation.
format Preprint
id arxiv_https___arxiv_org_abs_2509_15303
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Neutron star evolution with the Bemfica-Disconzi-Noronha-Kovtun viscous hydrodynamics framework
Shum, Harry L. H.
Abalos, Fernando
Bea, Yago
Bezares, Miguel
Figueras, Pau
Palenzuela, Carlos
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
Nuclear Theory
The recently proposed first-order viscous relativistic hydrodynamics formulation by Bemfica, Disconzi, Noronha, and Kovtun (commonly known as the BDNK formulation) has been shown to be causal, stable, strongly hyperbolic, and thus locally well-posed. It is now a viable new option for modelling out-of-equilibrium effects in fluids, and has attracted wide attention in its potential applications to astrophysical systems. In this work, we present the first non-linear numerical simulation of spherically symmetric neutron stars using the BDNK formulation under the Cowling approximation. Using a simplified equation of state, we show that stable evolutions can be constructed within a restricted parameter space up to the simulation time we explored. From these simulations, we analyse the frequency content of the quasi-normal modes and the decay rate of the fundamental mode. This analysis serves as a first step towards constructing a fully consistent model of neutron stars using the BDNK formulation.
title Neutron star evolution with the Bemfica-Disconzi-Noronha-Kovtun viscous hydrodynamics framework
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
Nuclear Theory
url https://arxiv.org/abs/2509.15303