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There is now overwhelming observational evidence that our Universe is accelerating in its expansion. I discuss how modified gravitational models can provide an explanation for this observed late-time cosmic acceleration. We consider…

Astrophysics · Physics 2008-11-26 Damien A. Easson

We obtain equilibrium solutions for rotating compact stars including the special relativistic effects. The gravity is assumed to be Newtonian, but we used the active mass density, which takes into account all the energies such as motions of…

High Energy Astrophysical Phenomena · Physics 2015-05-13 Jinho Kim , Hee Il Kim , Hyung Mok Lee

In the purely affine formulation of gravity, the gravitational field is represented by the symmetric part of the Ricci tensor of the affine connection. The classical electromagnetic field can be represented in this formulation by the second…

General Relativity and Quantum Cosmology · Physics 2007-07-12 Nikodem J. Poplawski

Gravitational scattering of the electromagnetic field from a heavy scalar field provides a fundamental testbed for understanding the deflection of light by massive bodies. In many approaches based on effective field theory, the calculation…

High Energy Physics - Theory · Physics 2026-01-19 Yihan Ma , Ding-fang Zeng

Durgapal's fifth isotropic solution describing spherically symmetric and static matter distribution is extended to an anisotropic scenario. To do so we employ the gravitational decoupling through the minimal geometric deformation scheme.…

General Relativity and Quantum Cosmology · Physics 2018-11-14 E. Morales , Francisco Tello-Ortiz

External matter distributions can substantially reshape the strong field environment of compact objects, yet this effect is usually neglected in idealized isolated models. In this work, we investigate geometrically thin, optically thick…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Shokoufe Faraji , Ruijing Tang

In this paper we investigate the motion of small compact objects in non-vacuum spacetimes using methods from effective field theory in curved spacetime. Although a vacuum formulation is sufficient in many astrophysical contexts, there are…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Peter Zimmerman

Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(-Droste) solution, and into one specific stationary axially symmetric…

General Relativity and Quantum Cosmology · Physics 2015-03-10 Christian Heinicke , Friedrich W. Hehl , .

General relativity is highly successful in explaining a wide range of gravitational phenomena including the gravitational waves emitted by binary systems and the shadows cast by supermassive black holes. From a modern perspective the theory…

General Relativity and Quantum Cosmology · Physics 2024-07-26 Jesse Daas , Cristobal Laporte , Frank Saueressig , Tim van Dijk

We introduce the method of topological quantization for gravitational fields in a systematic manner. First we show that any vacuum solution of Einstein's equations can be represented in a principal fiber bundle with a connection that takes…

Mathematical Physics · Physics 2009-11-10 Leonardo Patino , Hernando Quevedo

We apply an effective field theory method for the gravitational interaction of compact stars, developed within the context of general relativity, to Newtonian gravity. In this effective theory a compact object is represented by a point…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Sayan Chakrabarti , Térence Delsate , Jan Steinhoff

We investigate static, spherically symmetric solutions in Einstein-scalar-Gauss-Bonnet gravity non-minimally coupled to a massless real scalar field, both in vacuum and in the presence of fermionic matter. Focusing on a specific quadratic…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Roberto D. Alba Q. , Javier Chagoya , Armando A. Roque

A novel approach to the calculation of the deflection of highly relativistic test particles in gravitational fields is described. We make use of the light-like boosts of the gravitational fields of the sources. Examples are given of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Barrabes , P. A. Hogan

We briefly discuss explicit compact object solutions in higher-order scalar-tensor theories. We start by so-called stealth solutions, whose metric are General Relativity (GR) solutions, but accompanied by a non-trivial scalar field, in both…

General Relativity and Quantum Cosmology · Physics 2022-09-21 Athanasios Bakopoulos , Christos Charmousis , Nicolas Lecoeur

An approach is developed to find approximate solutions to the classical Newtonian problem of N bodies. Sets of N gravitating bodies having spherically symmetric mass distributions, small angular velocities (< 1 rad/s) and bounded position…

Mathematical Physics · Physics 2007-05-23 AbuBakr Mehmood , Syed Umer Abbas Shah , Ghulam Shabbir

We naturally extend the theory of gravity with a conformally coupled scalar field by only requiring conformal invariance of the scalar field equation of motion and not of the action. The classically extended theory incorporates a…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Pedro G. S. Fernandes

The motion of sufficiently small body in general relativity should be accurately described by a geodesic. However, there should be ``gravitational self-force'' corrections to geodesic motion, analogous to the ``radiation reaction forces''…

General Relativity and Quantum Cosmology · Physics 2009-07-03 Robert M. Wald

In this article we find the general, exact solution for the gravitational field equations for diagonal, vacuum, separable metrics. These are metrics each of whose terms can be separated into functions of each space-time variable separately.…

General Relativity and Quantum Cosmology · Physics 2010-10-05 Ron Lenk

This work considers the influence of the gravitational field produced by a charged and rotating black hole (Kerr-Newman spacetime) on a charged massive scalar field. We obtain exact solutions of both angular and radial parts of the…

General Relativity and Quantum Cosmology · Physics 2014-08-01 H. S. Vieira , V. B. Bezerra , C. R. Muniz

We apply the Hartle formalism to study equilibrium configurations in the framework of Newtonian gravity. This approach allows one to study in a simple manner the properties of the interior gravitational field in the case of static as well…

Solar and Stellar Astrophysics · Physics 2016-05-04 Kuantay Boshkayev , Hernando Quevedo , Zhanerke Kalymova , Bakytzhan Zhami