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The effects of nonlinear oscillations in compact stars are attracting considerable current interest. In order to study such phenomena in the framework of fully nonlinear general relativity, highly accurate numerical studies are required. We…

General Relativity and Quantum Cosmology · Physics 2009-09-24 Michael Gabler , Ulrich Sperhake , Nils Andersson

We investigate the gravitational models with the non-minimal $Y(R)F^2$ coupled electromagnetic fields to gravity, in order to describe charged compact stars, where $Y(R) $ denotes a function of the Ricci curvature scalar $R$ and $F^2$…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Özcan Sert

The behavior of a massive scalar particle on the spacetime surrounding a monopole is studied from a quantum mechanical point of view. All the boundary conditions necessary to turn into self-adjoint the spatial portion of the wave operator…

General Relativity and Quantum Cosmology · Physics 2010-04-21 João Paulo M. Pitelli , Patricio S. Letelier

We reconsider the recently proposed mimetic gravity, focusing in particular on whether the theory is able to reproduce the inferred flat rotation curves of galaxies. We extend the theory by adding a non-minimal coupling between matter and…

General Relativity and Quantum Cosmology · Physics 2018-12-13 Sunny Vagnozzi

In this paper, we investigate gravitational interactions of massive fields with arbitrary integer and half-integer spin, trying to construct a vertex that contains both standard minimal and non-minimal interaction terms necessary to make…

High Energy Physics - Theory · Physics 2026-02-17 Yu. M. Zinoviev

We develop a framework for constraining a certain class of theories of nonminimally coupled (NMC) gravity with Solar System observations.

General Relativity and Quantum Cosmology · Physics 2015-06-19 Orfeu Bertolami , Riccardo March , Jorge Páramos

We investigate anisotropic compact stars in the non-minimal $Y(R)F^2$ model of gravity which couples an arbitrary function of curvature scalar $Y(R)$ to the electromagnetic field invariant $F^2$. After we obtain exact anisotropic solutions…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Özcan Sert , Fatma Çeliktaş , Muzaffer Adak

We discuss cosmological model with homogeneous and isotropic Yang-Mills field non-minimally coupled to gravity through an effective mass term. In this model conformal symmetry is violated which leads to possibility of inflationary…

High Energy Physics - Theory · Physics 2013-12-24 Evgeny A. Davydov , Dmitry V. Gal'tsov

We compute the vacuum polarization associated with quantum massless fields around stars with spherical symmetry. The nonlocal contribution to the vacuum polarization is dominant in the weak field limit, and induces quantum corrections to…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Alejandro Satz , Francisco D. Mazzitelli , Ezequiel Alvarez

To model magnetic fields of compact objects we solve the Maxwell equations in the background of the exterior static Schwarzschild and slowly rotating Kerr space-times. We impose the boundary condition that the electromagnetic fields are to…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Richard Kerner , Gideon Koekoek , Julia Schuring , Jan-Willem van Holten

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

[Abridged] An observable signature of a detectable nontrivial spatial topology of the Universe is the circles-in-the-sky in the CMB sky. In the most general search, pairs of circles with deviation from antipodality $0^\circ \leq \theta \leq…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-10 G. I. Gomero , B. Mota , M. J. Reboucas

Introducing a radially dependent magnetic field into Newton's off-center circular orbits potential so as to preserve the $E=0$ dynamical symmetry leads to a unique choice of field that can be identified as the inclusion of a magnetic…

Mathematical Physics · Physics 2023-12-19 Dipesh Bhandari , Michael Crescimanno

This paper explores the problem of analytically approximating the orbital state for a subset of orbits in a rotating potential with oblateness and ellipticity perturbations. This is done by isolating approximate differential equations for…

Earth and Planetary Astrophysics · Physics 2022-02-02 Ethan Burnett , Hanspeter Schaub

The rotation curves of low surface brightness galaxies provide a unique data set with which to test alternative theories of gravitation over a large dynamic range in size, mass, surface density, and acceleration. Many clearly fail,…

Astrophysics · Physics 2015-06-24 Stacy McGaugh , Erwin de Blok

The rotation of the bodies and the eccentricity of the orbit have significant effects on the emitted gravitational radiation of binary systems. This work focuses on the evaluation of the gravitational wave polarization states for spinning…

General Relativity and Quantum Cosmology · Physics 2008-11-26 János Majár , Mátyás Vasúth

Near a black hole or an ultracompact star, motion of particles is governed by strong gravitational field. Electrically charged particles feel also electromagnetic force arising due to currents inside the star or plasma circling around. We…

Astrophysics · Physics 2009-06-23 Jiri Kovar , Zdenek Stuchlik , Vladimir Karas

Motivated by the recent interest in phantom fields as candidates for the dark energy component, we investigate the consequences of the phantom field when is minimally coupled to gravity. In particular, the necessary (but insufficient)…

General Relativity and Quantum Cosmology · Physics 2014-11-20 M. R. Setare , Elias C. Vagenas

A kinematical analysis applied to a sample of galaxy clusters indicates that the differences between the velocity distribution of elliptical and spiral galaxies are associated with the shape of their orbit families. The orbital anisotropies…

Astrophysics · Physics 2016-08-30 A. C. Ramirez , R. E. de Souza

In extended models of gravity a nonminimal coupling to matter has been assumed to lead to irreversible particle creation. In this paper we challenge this assumption. We argue that a non-minimal coupling of the matter and gravitational…

General Relativity and Quantum Cosmology · Physics 2019-04-02 R. P. L. Azevedo , P. P. Avelino
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