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We study perturbations of Schwarzschild spacetime in a coordinate-free, covariant form. The GHP formulation, having the advantage of not only being covariant but also tetrad-rotation invariant, is used to write down the previously known…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Abhay G. Shah , Bernard F. Whiting , Steffen Aksteiner , Lars Andersson , Thomas Bäckdahl

It is suggested a metric ansatz to describe local matter in an expanding universe, hence interpolating between the Schwarzschild metric at small spatial scales and the FLRW metric at large spatial scales. This is acomplished maintaining…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-21 P. Castelo Ferreira

Frequently, the quantitative effect of the large-scale cosmological expansion on local systems is studied in the light of Newtonian approach, and the General Relativity Theory is neglected. We, however, analyze the influence of cosmological…

General Relativity and Quantum Cosmology · Physics 2013-12-03 Jose J. Arenas

A gravitational theory is formulated by considering the physical processes underlying relativistic dilation of time and contraction of space. It is shown that the point mass solution of general relativity's field equation - the…

General Relativity and Quantum Cosmology · Physics 2015-08-25 James W. Douglass

In 2007 Rindler and Ishak showed that, contrary to previous claims, the value of the cosmological constant does have an effect on light deflection by a gravitating object in an expanding universe, modeled by a Schwarzschild-de~Sitter…

General Relativity and Quantum Cosmology · Physics 2018-05-25 Mir Emad Aghili , Brett Bolen , Luca Bombelli

Considering a Schwarzschild black hole surrounded by a fully ionized hydrogen plasma, we study the refractive effect and the pure gravitational effect of the plasma on the shadow. The effects are treated in a unified formalism but…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Qiang Li , Yanni Zhu , Towe Wang

In an early work the Rossby Wave Instability (RWI) has been proposed to explain variability thought to originate in the close vicinity of black-holes but this was done in the pseudo-Newtonian approach. Here we present the first general…

High Energy Astrophysical Phenomena · Physics 2018-11-07 F. Casse , P. Varniere , Z. Meliani

Using a fully gauge-invariant approach, we compute for the first time in the literature relativistic effects on the redshift drift up to second order in cosmological perturbation theory. This is achieved by employing a set of light-cone…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-30 Pierre Béchaz , Giuseppe Fanizza , Giovanni Marozzi , Matheus R. Medeiros Silva

Recently, two independent calculations have been presented of finite-mass ("self-force") effects on the orbit of a point mass around a Schwarzschild black hole. While both computations are based on the standard mode-sum method, they differ…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Norichika Sago , Leor Barack , Steven Detweiler

We calculate the perihelion precession delta for nearly circular orbits in a central potential V(r). Differently from other approaches to this problem, we do not assume that the potential is close to the Newtonian one. The main idea in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 H. -J. Schmidt

Covariant $f(Q)$ gravity is a viable extension of General Relativity, however its strong-field predictions remain largely untested. Using the static, spherically symmetric black-hole solutions of the theory, we confront it with the most…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Mohsen Khodadi , Behnam Pourhassan , Emmanuel N. Saridakis

In the past few decades, various versions of modified gravity theories were proposed to mimic the effect of dark matter. Compared with the conventional Newtonian or relativistic dynamics, these theories contain some extra apparent force…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Man Ho Chan , Chak Man Lee

Many theories of modified gravity, including the well studied Horndeski models, are characterized by a screening mechanism that ensures that standard gravity is recovered near astrophysical bodies. In a recently introduced class of…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Ryo Saito , Daisuke Yamauchi , Shuntaro Mizuno , Jérôme Gleyzes , David Langlois

We study quantum gravity effects on radiation properties of thin accretion disks around a renormalization group improved (RGI-) Schwarzschild black hole. In the infrared (IR) limit of the asymptotically safe theory with higher derivatives,…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Fabián H. Zuluaga , Luis A. Sánchez

With an intent to examine the combined effect of non-linear electrodynamics (NED) and dark matter (DM), we obtain a static and spherically symmetric solution with the black hole (BH) magnetically charged and immersed in the Hernquist DM…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Sohan Kumar Jha

We investigate the gravitational lensing effects of a static spherically symmetric black hole (BH) within the framework of the revised Deser-Woodard (D-W) nonlocal gravity. By analyzing the deflection angle in both the weak and strong field…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Haida Li , Xiangdong Zhang

In this study, we explore the combined effects of quantum gravity induced by non-commutativity and scale-dependent gravitational coupling on the thermal properties of the thin accretion disks around a Schwarzschild black hole. We consider a…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Dilip Kumar

The exact metric of a Schwarzschild black hole in the true radiation gauge was recently reported. In this work, we base on this gravity and calculate the gravitational deflection of relativistic massive particles up to the fourth…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Zonghai Li , Xia Zhou , Weijun Li , Guansheng He

Starting from the equations of modified gravity hydrodynamics, we derive the equ tions of motion governing linear, adiabatic, radial perturbations of stars in scalar-tensor theories. There are two new features: first, the eigenvalue…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-25 Jeremy Sakstein

The motion of an extended body up to the quadrupolar structure is studied in the Schwarzschild background following Dixon's model and within certain restrictions (constant frame components for the spin and the quadrupole tensor, center of…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Donato Bini , Pierluigi Fortini , Andrea Geralico , Antonello Ortolan