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Solutions to the stochastic wave equation on the unit sphere are approximated by spectral methods. Strong, weak, and almost sure convergence rates for the proposed numerical schemes are provided and shown to depend only on the smoothness of…

Numerical Analysis · Mathematics 2023-12-06 David Cohen , Annika Lang

Neutron star is the ultimate testing place for the physics of dense nuclear matter. Before the detection of gravitational waves from the merger of binary neutron stars, various nuclear equations of state have been used to estimate the…

Nuclear Theory · Physics 2020-06-03 Young-Min Kim , Kyujin Kwak , Chang Ho Hyun , Hana Gil , Chang-Hwan Lee

Neutron star mergers hold the key to several grand challenges of contemporary (astro-)physics. In view of the upcoming next generation of ground-based detectors, it is crucial to keep improving theoretical predictions to harvest the full…

High Energy Astrophysical Phenomena · Physics 2026-01-06 Bhaskar Biswas , Stephan Rosswog , Peter Diener , Lukas Schnabel

The upper bound of the speed of sound in dense nuclear matter is one of the most interesting but still unsolved problems in Nuclear Physics. Theoretical studies in connection with recent observational data of isolated neutron stars as well…

Nuclear Theory · Physics 2021-01-27 A. Kanakis-Pegios , P. S. Koliogiannis , Ch. C. Moustakidis

After giving an overview of the history and idea of neutron stars, I shall introduce, in part one of my lectures, a representative collection of models for the equation of state of superdense neutron star matter, which account for various…

Astrophysics · Physics 2007-05-23 Fridolin Weber , Norman K. Glendenning

Recently exploratory studies were performed on the possibility of constraining the neutron star equation of state (EOS) using signals from coalescing binary neutron stars, or neutron star-black hole systems, as they will be seen in upcoming…

General Relativity and Quantum Cosmology · Physics 2015-08-05 Michalis Agathos , Jeroen Meidam , Walter Del Pozzo , Tjonnie G. F. Li , Marco Tompitak , John Veitch , Salvatore Vitale , Chris Van Den Broeck

A new spectral code for constructing general-relativistic models of rapidly rotating stars with an unprecedented accuracy is presented. As a first application, we reexamine uniformly rotating homogeneous stars and compare our results with…

Astrophysics · Physics 2010-12-23 M. Ansorg , A. Kleinwächter , R. Meinel

Numerical relativity simulations are essential to study the last stages of the binary neutron star coalescence. Unfortunately, for stable simulations there is the need to add an artificial low-density atmosphere. Here we discuss a new…

General Relativity and Quantum Cosmology · Physics 2020-11-11 Amit Poudel , Wolfgang Tichy , Bernd Brügmann , Tim Dietrich

We calculate the gravitational radiation produced by the coalescence of inspiraling binary neutron stars in the Newtonian regime using 3-dimensional numerical simulations. The stars are modeled as polytropes and start out in the point-mass…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Xing Zhuge , Joan M. Centrella , Stephen L. W. McMillan

In order to extract maximal information from neutron-star merger signals, both gravitational and electromagnetic, we need to ensure that our theoretical models/numerical simulations faithfully represent the extreme physics involved. This…

High Energy Astrophysical Phenomena · Physics 2021-11-09 Peter Hammond , Ian Hawke , Nils Andersson

Observations of the properties of multiple coalescing neutron stars will simultaneously provide insight into neutron star mass and spin distribution, the neutron star merger rate, and the nuclear equation of state. Not all merging binaries…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Daniel Wysocki , Richard O'Shaughnessy , Leslie Wade , Jacob Lange

The dynamics, time evolution of the mass distribution, and gravitational wave signature of coalescing neutron stars described by polytropes are compared with three simulations published previously: (a) ``Run 2'' of Zhuge et al. (1994), (b)…

Astrophysics · Physics 2007-05-23 M. Ruffert , M. Rampp , H. -Th. Janka

Equations of state for a cold neutron star's interior are presented in three-column tables that relate the baryonic density, the energy density, and the pressure. A few analytical expressions for those tables have been established these…

Nuclear Theory · Physics 2022-10-05 Lami Suleiman , Morgane Fortin , Julian-Leszek Zdunik , Constanca Providencia

We review a variety of theoretical and experimental investigations aimed at improving our knowledge of the nuclear matter equation of state. Of particular interest are nuclear matter extreme states in terms of density and/or isospin…

Nuclear Theory · Physics 2015-05-18 Francesca Sammarruca

In simulations of binary neutron star mergers, the dense matter equation of state (EOS) is required over wide ranges of density and temperature as well as under conditions in which neutrinos are trapped, and the effects of magnetic fields…

High Energy Astrophysical Phenomena · Physics 2019-02-20 S. Lalit , M. A. A. Mamun , C. Constantinou , M. Prakash

It is currently unknown how matter behaves at the extreme densities found within the cores of neutron stars. Measurements of the neutron star equation of state probe nuclear physics that is otherwise inaccessible in a laboratory setting.…

High Energy Astrophysical Phenomena · Physics 2026-03-03 Kris Walker , Rory Smith , Eric Thrane , Daniel J. Reardon

The merger of two neutron stars has been proposed as a source of gamma-ray bursts, r-process elements, and detectable gravitational waves. Extracting information from observations of these phenomena requires fully relativistic simulations.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Walter Landry , Saul A. Teukolsky

The composition of the inner crust of neutron stars is usually studied using phenomenological interactions such as Skyrme energy-density functionals. But most of these functionals do not agree well with ab-initio calculations of very dilute…

Nuclear Theory · Physics 2024-04-10 Sunny Kumar Gupta , Michael Urban

LIGO and Virgo recently observed the first binary neutron star merger, demonstrating that gravitational-waves offer the ability to probe how matter behaves in one of the most extreme environments in the Universe. However, the…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Ian Harry , Tanja Hinderer

The rapid increase in the number and precision of astrophysical probes of neutron stars in recent years allows for the inference of their equation of state. Observations target different macroscopic properties of neutron stars which vary…

High Energy Astrophysical Phenomena · Physics 2022-03-31 Isaac Legred , Katerina Chatziioannou , Reed Essick , Philippe Landry