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The multiyear problem of a two-body system consisting of a Reissner-Nordstr\"om black hole and a charged massive particle at rest is here solved by an exact perturbative solution of the full Einstein-Maxwell system of equations. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Bini , A. Geralico , R. Ruffini

We study inverse problems for the Einstein-Maxwell equations. We prove that it is possible to generate gravitational waves from the nonlinear interactions of electromagnetic waves. By sending electromagnetic waves from a neighborhood of a…

Analysis of PDEs · Mathematics 2017-04-03 Matti Lassas , Gunther Uhlmann , Yiran Wang

This work presents physical consequences of our theory of induced gravity (Ref.1) regarding: 1) the requirement to consider shape and materials properties when calculating graviton cross section collision area; 2) use of Special Relativity;…

General Physics · Physics 2007-05-23 Gary Christopher Vezzoli

The Einstein field equations in linear post-Newtonian approximation can be written in analogy with electromagnetism, in the so-called gravito-electromagnetic formalism. We use this analogy to study the gravitational field of a massive ring:…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Matteo Luca Ruggiero

The magnetic field due to an axially symmetric, hot and highly conducting plasma, taken as an ideal magnetohydrodynamic fluid, surrounding a slow rotating compact gravitational object is studied within the context of Einstein-Maxwell field…

General Relativity and Quantum Cosmology · Physics 2017-10-02 Babur M. Mirza

The integral formulation of Maxwell's equations expressed in terms of an arbitrary observer family in a curved spacetime is developed and used to clarify the meaning of the lines of force associated with observer-dependent electric and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. Bini , C. Germani , R. T. Jantzen

This work is the extension of author`s research, where the modified theory of induced gravity (MTIG) is proposed. The theory describes two systems (stages): Einstein (ES) and "restructuring" (RS). We consider equations with quadratic…

General Physics · Physics 2019-11-22 Farkhat Zaripov

We consider the interaction between gravitational and electromagnetic radiation propagating on a Minkowski background and look into the effects of the former upon the latter. Not surprisingly, the coupling between these two sources leads to…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Alexandros P. Kouretsis , Christos G. Tsagas

We have developed a method to study the effects of a perturbation to the motion of a test point--like object in a Schwarzschild spacetime. Such a method is the extension of the Lagrangian planetary equations of classical celestial mechanics…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Mirco Calura , Enrico Montanari , Pierluigi Fortini

Investigations of electromagnetic interactions between test-charged and magnetized particles are important in the dynamics of the particles in strong gravitational fields around black holes. Here, we study the dynamics of a particle having…

General Relativity and Quantum Cosmology · Physics 2023-10-13 Sardor Murodov , Javlon Rayimbaev , Bobomurat Ahmedov , Abdullo Hakimov

We consider full perturbations to a covariantly defined Schwarzschild spacetime. By constructing complex quantities, we derive two decoupled, covariant and gauge-invariant, wave-like equations for spin-weighted scalars. These arise…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. B. Burston , A. W. C. Lun

This paper examines the structure of electric fields and space-times created by extended finite distributions of irrotational static and spherically-symmetric charge. The resulting electric fields are found to source features in space-time…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Erik W. Lentz

We focus on the interaction of a plane gravitational wave with electromagnetic fields and we describe this interaction in the proper detector frame where, thanks to the introduction of Fermi coordinates, it is possible to refer to directly…

General Relativity and Quantum Cosmology · Physics 2025-03-14 Matteo Luca Ruggiero

Neutral test particles around a Schwarzschild black hole immersed in an external uniform magnetic field have no interactions of electromagnetic forces, but their motions can be chaotic. This chaotic behavior is induced owing to the…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Dan Li , Xin Wu

The problem of unification of Gravitation and Electromagnetism in four dimensions; some new ideas involving mixtures of commuting and anti-commuting co-ordinates. Maxwell's equations are extracted in terms of the curvature of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G Filewood

In this work, we study the magnetic effects of gravity in the framework of special relativity. Imposing covariance of the gravitational force with respect to the Lorentz transformations, we show from a thought experiment that a…

General Physics · Physics 2018-05-01 R. S. Vieira , H. B. Brentan

This is the Part II paper of our series of papers on a gauge-invariant perturbation theory on the Schwarzschild background spacetime. After reviewing our general framework of the gauge-invariant perturbation theory and the proposal on the…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Kouji Nakamura

We study second-order electromagnetic perturbations in the Schwarzschild background and derive the effective source terms for Regge-Wheeler equation which are quadratic in first-order gravitational and electromagnetic perturbations. In…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Fawzi Aly , Mahmoud A. Mansour , Dejan Stojkovic

The existence of large--scale magnetic fields in the universe has led to the observation that if gravitational waves propagating in a cosmological environment encounter even a small magnetic field then electromagnetic radiation is produced.…

General Relativity and Quantum Cosmology · Physics 2010-04-29 C. Barrabes , P. A. Hogan

We present a systematic theoretical framework for investigating first-order electromagnetic (EM) perturbations induced by gravitational waves (GWs). Beginning with the covariant Maxwell equations, we derive the complete first-order…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Lingyue Lou , Haorong Wu , Xi-Long Fan