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Relating different global neutron-star (NS) properties, such as tidal deformability and radius, or mass and radius, requires an equation of state (EoS). Determining the NS EoS is therefore not only the science goal of a variety of…

High Energy Astrophysical Phenomena · Physics 2024-06-27 P. J. Davis , H. Dinh Thi , A. F. Fantina , F. Gulminelli , M. Oertel , L. Suleiman

Modern multi-messenger astronomical observations and heavy ion experiments provide new insights into the structure of compact objects. Nevertheless, much ambiguity remains when it comes to super dense matter above the nuclear saturation…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Victor I. Danchev , Daniela D. Doneva

Neutron stars and quark stars are ideal laboratories to study fundamental physics at supra nuclear densities and strong gravitational fields. Astrophysical observables, however, depend strongly on the star's internal structure, which is…

General Relativity and Quantum Cosmology · Physics 2023-03-27 Kent Yagi , Nicolas Yunes

Universal relations that are insensitive to the equation of state (EoS) are useful in reducing the parameter space when measuring global quantities of neutron stars (NSs). In this paper, we reveal a new universal relation that connects the…

High Energy Astrophysical Phenomena · Physics 2023-08-22 Yong Gao , Lijing Shao , Jan Steinhoff

We are investigating universal relations between different normalisations of the moment of inertia and the compactness of neutron stars in slow rotation approximation. We study the relations in particular class of massive scalar-sensor…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Dimitar Popchev , Kalin V. Staykov , Daniela D. Doneva , Stoytcho S. Yazadjiev

Networks where each node has one or more associated numerical values are common in applications. This work studies how summary statistics used for the analysis of spatial data can be applied to non-spatial networks for the purposes of…

Social and Information Networks · Computer Science 2024-05-09 Rudy Arthur

The X-ray emission of neutron stars enables a probe of their temperatures, geometries, and magnetospheric properties. The current number of X-ray emitting pulsars is insufficient to rule out observational biases that may arise from poorly…

High Energy Astrophysical Phenomena · Physics 2022-02-09 Armin Vahdat , Bettina Posselt , Andrea Santangelo , George G. Pavlov

The dense material in a compact star from a supernova remnant is beyond terrestrial experimentation, so phenomenological modeling is used to match astrophysical observations. This is crucial due to the complex sensitivity of compact star…

High Energy Astrophysical Phenomena · Physics 2025-07-17 Vivek Baruah Thapa , Anil Kumar , Vishal Parmar , Monika Sinha

The neutron star equation of state is now being constrained from a diverse set of multi-messenger data, including gravitational waves from binary neutron star mergers, X-ray observations of the neutron star radius, and many types of…

High Energy Astrophysical Phenomena · Physics 2021-02-24 Carolyn Raithel , Feryal Ozel , Dimitrios Psaltis

We study the $f$-mode frequencies and damping times of nonrotating neutron stars (NS) in general relativity (GR) by solving the linearized perturbation equations, with the aim to establish "universal" relations that depend only weakly on…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Cecilia Chirenti , Gibran H. de Souza , Wolfgang Kastaun

Neutron stars (NS) are compact objects with strong gravitational fields, and a matter composition subject to extreme physical conditions. The properties of strongly interacting matter at ultra-high densities and temperatures impose a big…

High Energy Astrophysical Phenomena · Physics 2022-10-19 R. V. Lobato , E. V. Chimanski , C. A. Bertulani

Neutron stars are the densest, directly observable stellar objects in the universe and serve as unique astrophysical laboratories to study the behavior of matter under extreme physical conditions. This book chapter is devoted to describing…

High Energy Astrophysical Phenomena · Physics 2018-06-11 N. Degenaar , V. F. Suleimanov

Neutron stars are ideal astrophysical sources to probe general relativity due to their large compactnesses and strong gravitational fields. For example, binary pulsar and gravitational wave observations have placed stringent bounds on…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Kent Yagi , Michael Stepniczka

The nature of the highly dense matter inside the supernova remnant compact star is not constrained by terrestrial experiments and hence modeled phenomenologically to accommodate the astrophysical observations from compact stars. The…

High Energy Astrophysical Phenomena · Physics 2024-07-24 Anil Kumar , Manoj Kumar Ghosh , Pratik Thakur , Vivek Baruah Thapa , Monika Sinha

No-hair like relations between the multipole moments of the exterior gravitational field of neutron stars have recently been found to be approximately independent of the star's internal structure. This approximate, equation-of-state…

General Relativity and Quantum Cosmology · Physics 2015-08-06 Barun Majumder , Kent Yagi , Nicolas Yunes

Instead of parameterizing the pressure-density relation of a neutron star (NS), one can parameterize its macroscopic properties such as mass ($M$), radius ($R$), and dimensionless tidal deformability ($\Lambda$) to infer the equation of…

High Energy Astrophysical Phenomena · Physics 2022-08-31 Bhaskar Biswas , Sayak Datta

The universal relations in neutron stars form an essential entity to understand their properties. The moment of inertia, dimensionless tidal deformability, mass quadrupole moment, and oscillation modes are some of the properties that have…

High Energy Astrophysical Phenomena · Physics 2025-08-13 Sagnik Chatterjee , Kamal Krishna Nath

In recent years there has been a surge of interest in what has come to be known as the `universal relations' between various global properties of neutron stars. These universal relations are equation of state independent relations between…

General Relativity and Quantum Cosmology · Physics 2019-05-13 George Pappas , Daniela D. Doneva , Thomas P. Sotiriou , Stoytcho S. Yazadjiev , Kostas D. Kokkotas

Spectral analysis plays a crucial role in high-dimensional statistics, where determining the asymptotic distribution of various spectral statistics remains a challenging task. Due to the difficulties of deriving the analytic form, recent…

Statistics Theory · Mathematics 2025-04-02 Guoyu Zhang , Dandan Jiang , Fang Yao

I have demonstrated the existence of a tight correlation between the mass, radius, central density, and pressure of maximum-mass neutron stars modeled using diverse baryonic equations of state. A possible explanation for these correlations…

High Energy Astrophysical Phenomena · Physics 2020-05-22 D. D. Ofengeim