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Neutron stars are not observed to spin faster than about half their breakup rate. This limiting rotational frequency may be related to the strength of their crusts. As a star spins up from accretion, centrifugal forces stress the crust. We…

High Energy Astrophysical Phenomena · Physics 2024-12-17 J. A. Morales , C. J. Horowitz

Gravitational redshift is being generally calculated without considering the rotation of a body. Neglecting the rotation, the geometry of space time can be described by using the spherically symmetric Schwarzschild geometry. Rotation has…

General Relativity and Quantum Cosmology · Physics 2013-10-04 Anuj Kumar Dubey , Asoke Kumar Sen

Binary and Millisecond pulsars have a great deal to teach us about stellar evolution and are invaluable tools for tests of relativistic theories of gravity. Our understanding of these objects has been transformed by large-scale surveys that…

Astrophysics · Physics 2007-05-23 Matthew Bailes

Rotating relativistic stars are receiving significant attention in recent years, because of the information they can yield about the equation of state of matter at extremely high densities and because they are one of the more possible…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Nikolaos Stergioulas

A physical process of the gravitational redshift was described in an earlier paper (Wilhelm & Dwivedi 2014) that did not require any information for the emitting atom neither on the local gravitational potential U nor on the speed of light…

General Physics · Physics 2018-09-18 K. Wilhelm , B. N. Dwivedi

The gravitational potential well of an $M>10^{13}$ $M_\odot$ galaxy will lead to a gravitational redshift differential of order 1 km/s between the galaxy core and its outskirts. Current surveys of massive galaxies with spatially resolved…

Astrophysics of Galaxies · Physics 2019-01-21 Hongyu Zhu , Shadab Alam , Rupert A. C. Croft , Shirley Ho , Elena Giusarma , Alexie Leauthaud , Michael Merrifield

Redshift distortion measurements from galaxy surveys include sensitivity to the gravitational growth index distinguishing other theories from Einstein gravity. This gravitational sensitivity is substantially free from uncertainty in the…

Astrophysics · Physics 2010-11-05 Eric V. Linder

We investigate the viscosity driven instability in rotating relativistic stars by means of an iterative approach. We focus on polytropic rotating equilibrium stars and impose an m=2 perturbationin the lapse. We vary both the stiffness of…

Astrophysics · Physics 2007-05-23 Motoyuki Saijo , Eric Gourgoulhon

Deviations from geodesic motion caused by gravitational radiation have been discussed in the last decades to describe the motion of particles or photons in strong fields around collapsed objects. On cosmological scale this effect, which in…

Astrophysics · Physics 2007-08-12 Ernst Fischer

A review of modern VLTI observations of the orbital motion of closest stars to the relativistic compact object Sgr A* and its ability to test gravitation theories in the conditions of Post-Newtonian approximation. The observed orbital…

Astrophysics of Galaxies · Physics 2020-04-03 R. I. Gainutdinov , Yu. V. Baryshev , V. V. Sokolov

We calculate stationary configurations of rapidly rotating compact stars in general relativity, to study the properties of circular orbits of test particles in the equatorial plane. We search for simple, but precise, analytical formulae for…

Solar and Stellar Astrophysics · Physics 2011-06-14 M. Bejger , J. L. Zdunik , P. Haensel

Gravitational waves undergo redshift as they propagate through the expanding universe, and the redshift may exhibit time-dependent drift. Consequently, for any isolated gravitational wave sources, the mass parameter $\mathcal{M}$ and the…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Tan Liu , Wen-Fan Feng , Zong-Kuan Guo

We present the generalization of a recently introduced modified gravitational potential for self-gravitating fluids. The use of this potential allows for an accurate approximation of general relativistic effects in an otherwise Newtonian…

Astrophysics · Physics 2009-11-13 Bernhard Mueller , Harald Dimmelmeier , Ewald Mueller

Astrometry measures shifts in a star's photocentre and can be used to detect reflex motion due to orbiting exoplanets. Brightness asymmetries (e.g. starspots) rotating in and out of view can also cause apparent motion of the photocenter,…

Instrumentation and Methods for Astrophysics · Physics 2025-11-12 Jamila Taaki , Lia Corrales , Alfred Hero

Many physically motivated extensions to general relativity (GR) predict significant deviations in the properties of spacetime surrounding massive neutron stars. We report the measurement of a 2.01 +/- 0.04 solar mass pulsar in a 2.46-hr…

We show that gravitational radiation drives an instability in hot young rapidly rotating neutron stars. This instability occurs primarily in the l=2 r-mode and will carry away most of the angular momentum of a rapidly rotating star by…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Lee Lindblom , Benjamin J. Owen , Sharon M. Morsink

The effect of a slowly rotating mass on a forced harmonic oscillator with two degrees of freedom is studied in the weak field approximation. It is found that according to the general theory of relativity there is a shift in the resonat…

Astrophysics · Physics 2009-11-10 Babur M. Mirza

The detection, in 1998, of the first Accreting Millisecond Pulsar, started an exciting season of continuing discoveries in the fashinating field of compact binary systems harbouring a neutron star. Indeed, in these last three lustres,…

High Energy Astrophysical Phenomena · Physics 2013-10-07 Luciano Burderi , Tiziana Di Salvo

Searches for continuous gravitational waves from \textit{unknown} Galactic neutron stars provide limits on the shapes of neutron stars. A rotating neutron star will produce gravitational waves if asymmetric deformations exist in its…

High Energy Astrophysical Phenomena · Physics 2021-11-09 Brendan T. Reed , Alex Deibel , C. J. Horowitz

The rotation frequencies of young pulsars are systematically below their theoretical Kepler limit. R-modes have been suggested as a possible explanation for this observation. With the help of semi-analytic expressions that make it possible…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Mark G. Alford , Kai Schwenzer