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The gravitational energy shift for photons is extended to all mass-equivalent energies $E = mc^2$, obeying the quantum condition $E = h\nu$.On an example of a relativistic binary system, it was shown that the gravitational energy shift…

General Relativity and Quantum Cosmology · Physics 2010-04-07 M. Martinis , N. Perković

We have studied the $\nu + \bar{\nu} \to e^+ + e^- $ energy deposition rate in a rotating compact star. This reaction is important for the study of gamma ray bursts. The General Relativistic (GR) effects on the energy deposition rate have…

Astrophysics · Physics 2007-07-25 Abhijit Bhattacharyya , Sanjay K. Ghosh , Ritam Mallick , Sibaji Raha

We study the dynamical stability against bar-mode deformation of rapidly and differentially rotating stars in the first post-Newtonian approximation of general relativity. We vary the compaction of the star $M/R$ (where $M$ is the…

Astrophysics · Physics 2008-11-26 Motoyuki Saijo , Masaru Shibata , Thomas W. Baumgarte , Stuart L. Shapiro

One of the main goals of gravitational-wave astrophysics is to study gravity in the strong-field regime and constrain deviations from general relativity (GR). Any such deviation affects not only binary dynamics and gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Stephanie M. Brown , Badri Krishnan , Rahul Somasundaram , Ingo Tews

We assess the universal relations among second-order moments of relativistic stars, namely the moment of inertia, tidal deformability, and spin-induced quadrupole moment, via reformulated perturbation equations. After constructing the…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Koutarou Kyutoku

Einstein's theory of general relativity predicts that the only stationary configuration of an isolated black hole is the Kerr spacetime, which has a unique multipolar structure and a spherical shape when non-spinning. This is in striking…

General Relativity and Quantum Cosmology · Physics 2020-09-02 Guilherme Raposo , Paolo Pani

Topological structure has been extensively studied and confirmed in highly correlated condensed matter physics. We explore the gravitational waves emitted from binary neutron star mergers using the pseudoconformal model for dense nuclear…

Nuclear Theory · Physics 2021-07-07 Wen-Cong Yang , Yong-Liang Ma , Yue-Liang Wu

Continued observation of PSR J0737-3039, the double pulsar, is expected to yield a precise determination of its primary component's moment of inertia in the next few years. Since the moment of inertia depends sensitively on the neutron…

General Relativity and Quantum Cosmology · Physics 2019-03-13 Philippe Landry , Bharat Kumar

To detect the gravitational-wave (GW) signal from binary neutron stars and extract information about the equation of state of matter at nuclear density, it is necessary to match the signal with a bank of accurate templates. We present the…

General Relativity and Quantum Cosmology · Physics 2010-12-28 Luca Baiotti , Thibault Damour , Bruno Giacomazzo , Alessandro Nagar , Luciano Rezzolla

The total energy E of a star as a function of its angular momentum J and mass M in the Newtonian theory: E = E(J, M) [in general relativity, the gravitational mass M of a star as a function of its angular momentum J and rest mass m, M =…

Astrophysics · Physics 2009-10-31 N. Sibgatullin , R. Sunyaev

State-of-the-art numerical simulations of core-collapse supernovae reveal that the main source of gravitational waves is the excitation of proto-neutron star modes during post-bounce evolution. In this work we derive universal relations…

General Relativity and Quantum Cosmology · Physics 2021-11-09 Alejandro Torres-Forné , Pablo Cerdá-Durán , Martin Obergaulinger , Bernhard Müller , José A. Font

Recent studies suggest that coalescing neutron stars are subject to a fluid instability involving the nonlinear coupling of the tide to $p$-modes and $g$-modes. Its influence on the inspiral dynamics and thus the gravitational wave signal…

High Energy Astrophysical Phenomena · Physics 2016-12-07 Reed Essick , Salvatore Vitale , Nevin N. Weinberg

We investigate the constraints on the mass and radius of neutron stars by considering the tidal deformability in the merge of neutron star binaries. In order to extract the most reliable range of uncertainty from theory, we employ models…

Nuclear Theory · Physics 2019-01-02 Young-Min Kim , Yeunhwan Lim , Kyujin Kwak , Chang Ho Hyun , Chang-Hwan Lee

Gravitational waves emitted from the coalescence of neutron star binaries open a new window to probe matter and fundamental physics in unexplored, extreme regimes. To extract information about the supranuclear matter inside neutron stars…

General Relativity and Quantum Cosmology · Physics 2021-03-10 Tim Dietrich , Tanja Hinderer , Anuradha Samajdar

Equation of state (EOS) insensitive relations, so-called universal relations, between the neutron star (NS) compactness, its multipolar tidal deformability coefficients, and between the tidal parameters for binary systems are essential to…

High Energy Astrophysical Phenomena · Physics 2021-03-31 Daniel A. Godzieba , Rossella Gamba , David Radice , Sebastiano Bernuzzi

Massive stars commonly form binaries that can evolve into compact systems via common envelope evolution (CEE), a critical but poorly understood phase -- especially when the companion is a neutron star. Understanding the drag force exerted…

High Energy Astrophysical Phenomena · Physics 2026-04-23 Daiyu Sakurai , Ryuichiro Akaho , Shoichi Yamada

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

We perform fully relativistic calculations of binary neutron stars in corotating, circular orbit. While Newtonian gravity allows for a strict equilibrium, a relativistic binary system emits gravitational radiation, causing the system to…

General Relativity and Quantum Cosmology · Physics 2016-08-25 T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

The total binding energy of compact stars is the sum of the gravitational binding energy $(BE)_g$ and the nuclear binding energy $(BE)_n$, the last being related to the microphysics of the interactions. While the first is positive (binding)…

Nuclear Theory · Physics 2020-11-04 Alessandro Drago , Giuseppe Pagliara

Over the past decade, gravitational-wave astronomy has opened a new window onto the extreme states of matter inside compact stars. At some point during the inspiral of a binary system, each star starts to experience adiabatic tides,…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Ethan Carlier , Nicolas Chamel