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A new approximate metric representing the spacetime of a rotating deformed body is obtained by perturbing the Kerr metric to include til the second order of the quadrupole moment. It has a simple form, because is Kerr-like. Its Taylor…

General Relativity and Quantum Cosmology · Physics 2018-11-30 Francisco Frutos-Alfaro

We consider the circular motion of test particles in the gravitational field of a rotating deformed object described by the Hartle-Thorne metric. This metric represents an approximate solution to the vacuum Einstein field equations,…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Yergali Kurmanov , Marco Muccino , Kuantay Boshkayev , Talgar Konysbayev , Orlando Luongo , Hernando Quevedo , Ainur Urazalina

Canonically, `classic' tests of general relativity (GR) include perihelion precession, the bending of light around stars, and gravitational redshift; `modern' tests have to do with, inter alia, relativistic time delay, equivalence principle…

History and Philosophy of Physics · Physics 2024-10-22 William J. Wolf , Marco Sanchioni , James Read

We analytically work out the orbital effects induced by the gravitomagnetic spin-octupole moment of an extended spheroidal rotating body endowed with angular momentum $\boldsymbol{S}$ and quadrupole mass moment $J_2$. Our results,…

General Relativity and Quantum Cosmology · Physics 2019-07-04 Lorenzo Iorio

A partially alternative derivation of the expression for the time dilation effect in a uniform static gravitational field is obtained by means of a thought experiment in which rates of clocks at rest at different heights are compared using…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marco Alberici

The spin and quadrupole moment of the supermassive black hole at the Galactic center can in principle be measured via astrometric monitoring of stars orbiting at milliparsec (mpc) distances, allowing tests of general relativistic "no-hair"…

Astrophysics of Galaxies · Physics 2010-05-18 David Merritt , Tal Alexander , Seppo Mikkola , Clifford M. Will

We study the deflection of light by a magnetic dipole field in the generalized Born-Infeld electrodynamics. Using the effective index of refraction and the trajectory equation based on geometric optics, we compute the weak bending angle of…

General Relativity and Quantum Cosmology · Physics 2022-07-06 Jin Young Kim

Search for the Electric Dipole Moment of nuclear particles is at the forefront of incessant quest for CP violation beyond Standard Model. The ultimate target is to reach a sensitivity to the electric dipole moment of neutrons, protons,…

High Energy Physics - Phenomenology · Physics 2020-08-07 N. N. Nikolaev , S. N. Vergeles

Rotating magnetized white dwarfs are studied within the framework of general relativity using Hartle's formalism. Matter inside magnetized white dwarfs is described by an equation of state of particles under the action of a constant…

High Energy Astrophysical Phenomena · Physics 2019-02-18 Diana Alvear Terrero , Daryel Manreza Paret , Aurora Perez Martinez

An improved formula for the timing of binary pulsars that accounts for the relativistic deflection of light in the gravitational field of the pulsar's companion is presented, and the measurability of this effect together with its variance…

Astrophysics · Physics 2015-06-24 Oleg Doroshenko , Sergei Kopeikin

We are developing a general, unified, and rigorous analytical framework for using gravitational lensing by compact objects to test different theories of gravity beyond the weak-deflection limit. In this paper we present the formalism for…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Charles R. Keeton , A. O. Petters

In this paper we consider the possibility of measuring the corrections induced by the square of the parameter a_g of the Kerr metric to the general relativistic deflection of electromagnetic waves and time delay in an Earth based…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Lorenzo Iorio

In this paper we deduce a quite general formula which allows the relation of clock rates at two different space time points to be discussed. In the case of a perturbed Robertson-Walker metric, our analysis leads to an equation for the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chongming Xu , Xuejun Wu , Erwin Bruening

Objects falling into an overdensity appear larger on its near side and smaller on its far side than other objects at the same redshift. This produces a dipolar pattern of magnification, primarily as a consequence of the Doppler effect. At…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-09 Camille Bonvin , Sambatra Andrianomena , David Bacon , Chris Clarkson , Roy Maartens , Teboho Moloi , Philip Bull

This paper studies the deflection of charged particles in a dipole magnetic field in Schwarzschild spacetime background in the weak field approximation. To calculate the deflection angle, we use Jacobi metric and Gauss-Bonnet theorem. Since…

General Relativity and Quantum Cosmology · Physics 2022-12-28 Zonghai Li , Wei Wang , Junji Jia

In the canonical model of a pulsar, rotational energy is transmitted through the surrounding plasma via two electrical circuits, each connecting to the star over a small region known as a "polar cap." For a dipole-magnetized star, the polar…

High Energy Astrophysical Phenomena · Physics 2018-01-03 Samuel E. Gralla , Alexandru Lupsasca , Alexander Philippov

Adopting our new method for matching general relativistic, ideal magnetohydrodynamics to its force-free limit, we perform the first systematic simulations of force-free pulsar magnetospheres in general relativity. We endow the neutron star…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Milton Ruiz , Vasileios Paschalidis , Stuart L. Shapiro

Einstein's theory of general relativity (GR) provides the best available description of gravity. The recent detection of gravitational waves and the first picture of a black hole have provided spectacular confirmations of GR, as well as…

Physics Education · Physics 2020-08-26 Jorge Pinochet

A new Kerr-like metric with quadrupole moment is obtained by means of perturbing the Kerr spacetime. The form of this new metric is simple as the Kerr metric. By comparison with the exterior Hartle-Thorne metric, it is shown that it could…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-15 Francisco Frutos-Alfaro , Paulo Montero-Camacho , Miguel Araya-Arguedas , Javier Bonatti-Gonzalez

Time delays in gravitational lenses can be used to determine the Hubble constant and the lens potential. In future surveys, many gravitational lenses can be discovered, and their time delays and image positions can in principle be measured.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-10 Hans Witt , Shude Mao