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The "external" or "bulk" motion of extended bodies is studied in general relativity. Compact material objects of essentially arbitrary shape, spin, internal composition, and velocity are allowed as long as there is no direct…

General Relativity and Quantum Cosmology · Physics 2012-06-07 Abraham I. Harte

A new class of complex scalar field objects, which generalize the well known boson stars, was recently found as solutions to the Einstein-Klein-Gordon system. The generalization consists in incorporating some of the effects of angular…

We map the general relativistic two-body problem onto that of a test particle moving in an effective external metric. This effective-one-body approach defines, in a non-perturbative manner, the late dynamical evolution of a coalescing…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Buonanno , T. Damour

By using Bianchi I type of homogenous and anisotropic background metric having cylindrical symmetry in $x$ direction of a local cartesian coordinates system, we solve metric field equations for a non-minimally coupled Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2020-12-08 Hossein Ghaffarnejad , Hoda Gholipour

Considering extreme-mass-ratio inspirals along with the conservative dynamics of gravitational self-force, we compare viable theories of gravity. In particular, by examining a Schwarzschild background we analyse the self-force-induced…

General Relativity and Quantum Cosmology · Physics 2021-11-08 Vincenzo Ventriglia

In this work, we use recent data on the Hubble expansion rate $H(z)$, the quantity $f\sigma_8(z)$ from redshift space distortions and the statistic $E_g$ from clustering and lensing observables to constrain in a model-independent way the…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-28 Ana Marta Pinho , Santiago Casas , Luca Amendola

We solve the Einstein equations in the Randall-Sundrum framework with a static, spherically symmetric matter distribution on the {\it physical brane} and obtain an approximate expression for the gravitational field outside the source to…

High Energy Physics - Theory · Physics 2009-10-31 Ioannis Giannakis , Hai-cang Ren

In this article we investigate the properties of the asymptotically Schwarzschild-like metric as an alternative to the Schwarzschild solution in General Relativity. While asymptotically flat and similar to Schwarzschild at large distances…

General Relativity and Quantum Cosmology · Physics 2025-11-18 K. K. Ernazarov

In the standard cosmological model, the temperature anisotropy of the cosmic microwave background is interpreted as variation in the gravitational potential at the point of emission, due to the emitter being embedded in a region ${\cal C}$…

Astrophysics · Physics 2007-05-23 Richard Lieu

Analytical expressions for the orbital precessions affecting the relative motion of the components of a local binary system induced by Lorentz-violating Preferred Frame Effects (PFE) are explicitly computed in terms of the PPN parameters…

General Relativity and Quantum Cosmology · Physics 2014-01-06 Lorenzo Iorio

We investigate the optical and radiative signatures of an accretion disk around a Schwarzschild black hole (BH) immersed in a uniform magnetic field. The spacetime geometry is described by the Schwarzschild-Bertotti-Robinson (SBR) metric,…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Javokhir Sharipov , Pankaj Sheoran , Sanjar Shaymatov

This research delves into the optical characteristics of stationary, spherically symmetric black holes. These black holes follow the Konoplya-Zhidenko deformation rule in arbitrary gravity theories. This research finds that the effects of…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Qiao Yue , Zhaoyi Xu , Meirong Tang

We study the generally covariant theory governing an isotropic spacetime region with uniform energy density. Gibbons, Hawking and York showed that fixing the induced boundary metric yields a well-posed variational problem. However, as we…

High Energy Physics - Theory · Physics 2018-09-03 Thomas C. Bachlechner

Accurate orbit modeling plays a key role in contemporary and future space missions such as GRACE and its successor GRACE-FO, GNSS, and altimetry missions. To fully exploit the technological capabilities and correctly interpret measurements,…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Dennis Philipp , Florian Wöske , Liliane Biskupek , Eva Hackmann , Enrico Mai , Meike List , Claus Lämmerzahl , Benny Rievers

We use the worldline formalism for calculating the one-loop effective action for the Einstein-Maxwell background induced by charged scalars or spinors, in the limit of low energy and weak gravitational field but treating the electromagnetic…

High Energy Physics - Theory · Physics 2009-03-19 Fiorenzo Bastianelli , Jose Manuel Davila , Christian Schubert

In Einstein-Maxwell theory, according to classic uniqueness theorems, the most general stationary black-hole solution is the axisymmetric Kerr-Newman metric, which is defined by three parameters: mass, spin and electric charge. The radial…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Paolo Pani , Emanuele Berti , Leonardo Gualtieri

This paper is devoted to investigate the anisotropic locally rotationally symmetric (LRS) Bianchi type-I space-time in the context of the recently proposed $f(Q)$ gravity in which $Q$ is the non-metricity scalar. For this purpose, we…

General Relativity and Quantum Cosmology · Physics 2022-08-26 M. Koussour , K. El Bourakadi , S. H. Shekh , S. K. J. Pacif , M. Bennai

Here we explore a novel approach in order to try to measure the post-Newtonian 1/c^2 Lense-Thirring secular effect induced by the gravitomagnetic field of the Sun on the planetary orbital motion. Due to the relative smallness of the solar…

General Relativity and Quantum Cosmology · Physics 2011-05-23 Lorenzo Iorio

Recent work in the literature has advocated using the Earth-Moon-planetoid Lagrangian points as observables, in order to test general relativity and effective field theories of gravity in the solar system. However, since the three-body…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Emmanuele Battista , Simone Dell'Agnello , Giampiero Esposito , Luciano Di Fiore , Jules Simo , Aniello Grado

We present analytic solutions of Maxwell equations in the internal and external background spacetime of a slowly rotating magnetized neutron star. The star is considered isolated and in vacuum, with a dipolar magnetic field not aligned with…

Astrophysics · Physics 2009-10-31 L. Rezzolla , B. J. Ahmedov , J. C. Miller