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The sets of the synchronous equations are derived from the sets of non-synchronous equations The analytical solutions are given by solving the set of differential equations. The results of the evolutionary tendency of the orbit-spin are…

Earth and Planetary Astrophysics · Physics 2015-06-05 Lin-Sen Li

The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, expanding and generalizing our previous treatments of the Lense-Thirring motion and the one-spin limit. The spin-orbit and spin-spin effects up to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely , Zoltán I. Perjés , Mátyás Vasúth

To be observed and analyzed by the network of current gravitational wave detectors (LIGO, Virgo, KAGRA), and in anticipation of future third generation ground based (Einstein Telescope, Cosmic Explorer) and space borne (LISA) detectors,…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Luc Blanchet

We study the dynamical evolution of quasi-circular equal mass massive black hole binaries embedded in circumbinary discs from separations of $\sim 100R_{\rm g}$ down to the merger, following the post merger evolution. The binary orbit…

High Energy Astrophysical Phenomena · Physics 2024-06-26 Alessia Franchini , Matteo Bonetti , Alessandro Lupi , Alberto Sesana

We estimate the observed distribution of chirp masses of compact object binaries for the gravitational wave detectors. The stellar binary evolution is modeled using the {\em StarTrack} population synthesis code. The distribution of the…

Astrophysics · Physics 2009-11-07 T. Bulik , K. Belczynski

Recent results from pulsar timing arrays (PTAs) show evidence for a gravitational wave background (GWB) consistent with a population of unresolved supermassive black hole (SMBH) binaries (BHBs). While the data do not yet constrain the slope…

Astrophysics of Galaxies · Physics 2024-06-12 Federica Fastidio , Alessia Gualandris , Alberto Sesana , Elisa Bortolas , Walter Dehnen

We present results of numerical computations of quasiequilibrium sequences of binary neutron stars with zero vorticity, in the general relativistic framework. The Einstein equations are solved under the assumption of a conformally flat…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Bonazzola , E. Gourgoulhon , J. -A. Marck

Circumbinary disks are found in a variety of astrophysical scenarios, spanning binary star formation to accreting supermassive black hole binaries. The interaction with a circumbinary disk can yield opposite effects on the binary orbit…

The origin and formation of stellar-mass binary black holes remains an open question that can be addressed by precise measurements of the binary and orbital parameters from their gravitational-wave signal. Such binaries are expected to…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Alice Bonino , Rossella Gamba , Patricia Schmidt , Alessandro Nagar , Geraint Pratten , Matteo Breschi , Piero Rettegno , Sebastiano Bernuzzi

Gravitational waves from compact binary inspirals offer a new opportunity to constrain the cosmological time dependence of gravitational coupling parameters, due to the high precision of the observations themselves as well as the…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Oliver Pitt , Timothy Clifton

The generalized post-Keplerian parametrization for compact binaries on eccentric bound orbits is established at second post-Newtonian (2PN) order in a class of massless scalar-tensor theories. This result is used to compute the…

General Relativity and Quantum Cosmology · Physics 2025-04-21 David Trestini

Observations of astrophysical binaries may reveal departures from pure Keplerian orbits due to environmental influences, modifications to the underlying gravitational dynamics, or signatures of new physics. In this work, we develop a…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Rajes Ghosh , R. Prasad , Kabir Chakravarti , Prayush Kumar

Gravitational-wave detections are enabling measurements of the rate of coalescences of binaries composed of two compact objects -- neutron stars and/or black holes. The coalescence rate of binaries containing neutron stars is further…

High Energy Astrophysical Phenomena · Physics 2022-08-29 Ilya Mandel , Floor S. Broekgaarden

We derive the rate of change of the mean motion up to the second post-Newtonian order for inspiralling compact binaries with spin, mass quadrupole and magnetic dipole moments on eccentric orbits. We give this result in terms of orbital…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Mátyás Vasúth , Balázs Mikóczi , László Á. Gergely

Stellar companion of a black hole orbiting in an eccentric orbit will experience modulating tidal force with a periodicity same as that of the orbital period. This, in turn, would modulate accretion rates, and the seed photon flux which are…

High Energy Astrophysical Phenomena · Physics 2019-04-09 Arindam Ghosh , Sandip K. Chakrabarti

Finite eccentricities in mass-transferring eccentric binary systems can be explained by taking into account mass-loss and mass-transfer processes that often occur in these systems. These processes can be treated as perturbations to the…

Solar and Stellar Astrophysics · Physics 2016-07-06 Fani Dosopoulou , Vicky Kalogera

We solve the equations of two-dimensional hydrodynamics describing a circumbinary disk accreting onto an eccentric, equal-mass binary. We compute the time rate of change of the binary semimajor axis $a$ and eccentricity $e$ over a…

High Energy Astrophysical Phenomena · Physics 2021-06-17 Daniel J. D'Orazio , Paul C. Duffell

The gravitational-radiation-induced inspiral of a binary system of compact objects is considered. A scheme is described to model the regime in which the gravitational interaction is too strong to use weak-field approximation methods, but…

General Relativity and Quantum Cosmology · Physics 2007-05-23 John T. Whelan

We describe a set of time evolution equations and its numerical implementation for the investigation of non-axisymmetric oscillations of rapidly rotating compact objects in full General Relativity, taking into account the contribution of a…

General Relativity and Quantum Cosmology · Physics 2020-09-11 C. J. Krüger , K. D. Kokkotas

We consider the evolution of a supermassive black hole binary (SMBHB) surrounded by a retrograde accretion disk. Assuming the disk is exactly in the binary plane and transfers energy and angular momentum to the binary via direct gas…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Jeremy D. Schnittman , Julian H. Krolik