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The shape of a rotating star consisting of equilibrium plasma is considered. The velocity of apsidal rotation of close binary stars (periastron rotation) which depends on the star shapes is calculated. The obtained estimations are in a good…

天体物理学 · 物理学 2007-05-23 B. V. Vasiliev

In this study, the authors employ the analogy between continuum mechanics and general relativity to investigate, from the perspective of elasticity and crystal plasticity, the deformations of space measured by LIGO/VIRGO interferometers…

广义相对论与量子宇宙学 · 物理学 2025-08-14 David Izabel , Yves Remond , Matteo Luca Ruggiero

In this paper we solve the inviscid inertial wave solutions in a circular pipe or annulus rotating constantly about its axis with moderate angular speed. The solutions are constructed by the so-called helical wave functions. We reveal that…

流体动力学 · 物理学 2015-10-07 Yantao Yang , Rodolfo Ostilla-Mónico , J. Z. Wu , Paolo Orlandi

The post-post-Newtonian (2PN) accurate mass quadrupole moment, for compact binaries of arbitrary mass ratio, moving in general orbits is obtained by the multi-polar post Minkowskian approach of Blanchet, Damour, and Iyer (BDI). Using this,…

广义相对论与量子宇宙学 · 物理学 2014-11-17 A. Gopakumar , Bala R. Iyer

In this paper, the emission of gravitational waves in quadratic gravity theory is examined. The wave equations for massless and massive perturbations are derived, followed by the calculation of the energy and angular momentum radiated. In…

广义相对论与量子宇宙学 · 物理学 2025-04-23 Matheus F. S. Alves , R. R. Cuzinatto , C. A. M. de Melo , L. G. Medeiros , P. J. Pompeia

We study gravitational waves to first and second order in amplitude in vacuum asymptotically flat spacetimes. The Einstein equations are solved to first order and these solutions are superposed to form a time-symmetric ingoing and then…

广义相对论与量子宇宙学 · 物理学 2012-07-13 J. Bicak , J. Katz , T. Ledvinka , D. Lynden-Bell

Taking into account the mass transfer effect, we derive the equations of motion of a compact binary system at the second-half post-Newtonian order. Applying such equations of motion to quasi-circular orbits, we obtain the time derivative of…

广义相对论与量子宇宙学 · 物理学 2025-10-08 Zi-Han Zhang , Tan Liu , Zong-Kuan Guo

It is investigated the gravitational waves phenomena in the geometric scalar theory of gravity (GSG), a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the spacetime is…

广义相对论与量子宇宙学 · 物理学 2019-08-16 Júnior Diniz Toniato

The prospect of unprecedented high-quality data of gravitational waves in the upcoming decades demands a theoretical effort to optimally study and analyze the signals that next generation detectors will provide. Here we study the…

广义相对论与量子宇宙学 · 物理学 2024-04-08 Mikel Martin Barandiaran , Sachiko Kuroyanagi , Savvas Nesseris

We produce gravitational waveforms for nonspinning compact binaries undergoing a quasicircular inspiral. Our approach is based on a two-timescale expansion of the Einstein equations in second-order self-force theory, which allows…

广义相对论与量子宇宙学 · 物理学 2023-08-16 Barry Wardell , Adam Pound , Niels Warburton , Jeremy Miller , Leanne Durkan , Alexandre Le Tiec

Compact orbiting binaries like the black hole binary system observed in GW150914 carry large amount of orbital angular momentum. The post-ringdown compact object formed after merger of such a binary configuration has only spin angular…

广义相对论与量子宇宙学 · 物理学 2020-05-20 Pratyusava Baral , Anarya Ray , Ratna Koley , Parthasarathi Majumdar

The gravitational energy-momentum and angular momentum satisfy the algebra of the Poincare group in the full phase space of the teleparallel equivalent of general relativity. The expression for the gravitational energy-momentum may be…

广义相对论与量子宇宙学 · 物理学 2009-11-13 J. W. Maluf , S. C. Ulhoa

With the discovery of the binary black hole coalescence GW150914, the era of gravitational-wave astrophysics has started. Gravitational-wave signals emitted by compact binary coalescences will be detected in large number by LIGO and Virgo…

广义相对论与量子宇宙学 · 物理学 2017-03-15 Salvatore Vitale , Ryan Lynch , Riccardo Sturani , Philip Graff

We consider non-linear plane gravitational waves as propagating space-time defects, and construct the Burgers vector of the waves. In the context of classical continuum systems, the Burgers vector is a measure of the deformation of the…

广义相对论与量子宇宙学 · 物理学 2021-01-27 F. L. Carneiro , S. C. Ulhoa , J. W. Maluf , J. F. da Rocha-Neto

We consider the system of a two ball automatic dynamic balancer attached to a rotating disc with nonconstant angular velocity. We directly compare the scenario of constant angular velocity with that when the acceleration of the rotor is…

混沌动力学 · 物理学 2022-05-31 James A Wright , Linyu Peng

We explore the gravitational waves (GWs) within the framework of the $f(R)$ gravity model represented by $f(R)=R^{1+\delta}/R^\delta_c$ in the weak field approximation. In this scenario, gravitational waves exhibit an additional…

广义相对论与量子宇宙学 · 物理学 2024-01-17 Utkal Keshari Dash , Bal Krishna Yadav , Murli Manohar Verma

We present a new method for extracting the instantaneous orbital axis only from gravitational wave strains of precessing binary systems observed from a particular observer direction. This method enables us to reconstruct the co-precessing…

广义相对论与量子宇宙学 · 物理学 2018-02-20 Kyohei Kawaguchi , Koutarou Kyutoku , Hiroyuki Nakano , Masaru Shibata

The stability of binary orbits can significantly shape the gravity wave signal which future Earth-based interferometers hope to detect. The inner most stable circular orbit has been of interest as it marks the transition from the late…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Janna Levin , Rachel O'Reilly , E. J. Copeland

We present a prescription to compute the time-domain gravitational wave (GW) polarization states associated with spinning compact binaries inspiraling along quasi-circular orbits. We invoke the orbital angular momentum $\vek L$ rather than…

广义相对论与量子宇宙学 · 物理学 2014-03-03 Anuradha Gupta , Achamveedu Gopakumar

In geophysical environments, wave motions that are shaped by the action of gravity and global rotation bear the name of gravito-inertial waves. We present a geometrical description of gravito-inertial surface waves, which are low-frequency…

偏微分方程分析 · 数学 2026-04-21 Yves Colin de Verdière , Jérémie Vidal