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A pedagogical description of a simple ungeometrical approach to General Relativity is given, which follows the pattern of well understood field theories, such as electrodynamics. This leads quickly to most of the important weak field…

Astrophysics · Physics 2007-05-23 Norbert Straumann

The spin-down of a millisecond pulsar in a compact binary system leads to self-energy losses, that cause the binary's orbital period to increase (the effect being of first post-Newtonian (1PN) order). If the pulsar's period-derivative is…

Astrophysics · Physics 2009-10-31 N. K. Spyrou , N. Stergioulas

Extracting the properties of a binary system emitting gravitational waves relies on models describing the last stages of the compact binary coalescence. In this article, we study potential biases inherent to current tidal waveform…

General Relativity and Quantum Cosmology · Physics 2019-07-31 Anuradha Samajdar , Tim Dietrich

We study the perturbed-from-synchronous librational state of a double asteroid, modeled by the Full Two Rigid Body Problem (F2RBP), with primary emphasis on deriving analytical formulas which describe the system's evolution after deflection…

Earth and Planetary Astrophysics · Physics 2024-09-11 Michalis Gaitanas , Christos Efthymiopoulos , Ioannis Gkolias , George Voyatzis , Kleomenis Tsiganis

Two novel results for the gravitational memory effect are presented in this paper. We first extend the formula for the memory effect to solutions with arbitrary two surface boundary topology. The memory effect for the Robinson-Trautman…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Pujian Mao , Xiaoning Wu

Compact binary systems with spinning components are considered. Finite size effects due to rotational deformation are taken into account. The dynamical evolution and next to leading order gravitational wave forms are calculated, taking into…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dörte Hansen

In general relativity, the equation of motion of the spin is given by the equation of parallel transport, which is a result of the space-time geometry. Any result of the space-time geometry can not be directly applied to gauge theory of…

General Relativity and Quantum Cosmology · Physics 2009-03-19 Ning Wu

To the first post-Newtonian order, the gravitational action of mass-energy currents is encoded by the off-diagonal gravitomagnetic components of the spacetime metric tensor. If they are time-dependent, a further acceleration enters the…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Lorenzo Iorio

Recent years have seen increasing efforts to directly measure some aspects of the general relativistic gravitomagnetic interaction in several astronomical scenarios in the solar system. After briefly overviewing the concept of…

General Relativity and Quantum Cosmology · Physics 2011-01-04 L. Iorio , H. I. M. Lichtenegger , M. L. Ruggiero , C. Corda

The status of experimental tests of general relativity and of theoretical frameworks for analysing them is reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the Eotvos experiment, tests of special…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Clifford M. Will

We treat the circular and elliptic restricted three-body problems in inertial frames as periodically forced Kepler problems with additional singularities and explain that in this setting the main result of [4] is applicable. This guarantees…

Dynamical Systems · Mathematics 2021-02-24 Rafael Ortega , Lei Zhao

Corrections to the relativistic orbits are studied considering higher order approximations induced by gravitomagnetic effects. We discuss in details how such corrections come out taking into account magnetic components in the weak field…

General Relativity and Quantum Cosmology · Physics 2009-03-12 S. Capozziello , M. De Laurentis , F. Garufi , L. Milano

Hierarchical three-body systems offer a compelling framework to explore the subtle interplay between Newtonian and relativistic gravitational effects in astrophysical environments. In this work, we investigate post-Newtonian corrections to…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Pietro Farina , Mariafelicia De Laurentis , Hideki Asada , Ivan De Martino , Riccardo Della Monica

We present a Bayesian data analysis pipeline for testing GR using gravitational wave signals from coalescing compact binaries, and in particular binary neutron stars. In this study, we investigate its performance when sources with spins are…

General Relativity and Quantum Cosmology · Physics 2013-08-06 Michalis Agathos , Walter Del Pozzo , Tjonnie G. F. Li , Chris Van Den Broeck , John Veitch , Salvatore Vitale

We study systems analogous to binary black holes with spin in order to gain some insight into the origin and nature of "bobbing" motion and "kicks" that occur in this system. Our basic tool is a general formalism for describing the motion…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Samuel E. Gralla , Abraham I. Harte , Robert M. Wald

We develop a first-order approximation method for the influence of spin on the motion of extended spinning test masses in a gravitational field. This approach is illustrated for approximately circular equatorial motion in the exterior Kerr…

Astrophysics · Physics 2008-12-18 Bahram Mashhoon , Dinesh Singh

In relativistic quantum mechanics, elementary particles are described by irreducible unitary representations of the Poincare group. The same applies to the center-of-mass kinematics of a multi-particle system that is not subject to external…

General Physics · Physics 2013-03-22 Walter Smilga

From Mercury's perihelion precession (open question from 1845 to 1915) to Gravity Probe-B satellite (first proposal in 1959, launch in 2004), General Relativity had to deal with precession phenomena. Perihelion advancement precession…

Astrophysics · Physics 2016-11-09 Costantino Sigismondi

In this work the worldline quantum field theory (WQFT) approach to computing observables of the classical general relativistic two-body system is presented. Compact bodies such as black holes or neutron stars are described in an effective…

High Energy Physics - Theory · Physics 2023-08-09 Gustav Uhre Jakobsen

The consequences of spin-rotation-gravity coupling are worked out for linear gravitational waves. The coupling of helicity of the wave with the rotation of a gravitational-wave antenna is investigated and the resulting modifications in the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jairzinho Ramos , Bahram Mashhoon
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