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The field equations of $f(R,\mathcal{G})$ gravity are rewritten in the form of obvious wave equations with the stress-energy pseudotensor of the matter fields and the gravitational field, as their sources, under the de Donder condition. The…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Bofeng Wu , Chao-Guang Huang

Experimental verification of the existence of gravimagnetic fields generated by currents of matter is important for a complete understanding and formulation of gravitational physics. Although the rotational `intrinsic' gravimagnetic field…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Edward B. Fomalont

We perform detailed investigation of cosmological perturbations in f(T) theory of gravity coupled with scalar field. Our work emphasizes on the way to gauge fix the theory and we examine all possible modes of perturbations up to second…

General Relativity and Quantum Cosmology · Physics 2013-06-24 Keisuke Izumi , Yen Chin Ong

It is investigated the gravitational waves phenomena in the geometric scalar theory of gravity (GSG), a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the spacetime is…

General Relativity and Quantum Cosmology · Physics 2019-08-16 Júnior Diniz Toniato

In this paper, we investigate gravitational waves beyond the linear approximation, focusing on second-order contributions sourced by linearized waves in the transverse-traceless (TT) gauge. A general spacetime metric is constructed, and…

General Relativity and Quantum Cosmology · Physics 2025-05-06 M. A. Misyura

We study gravitational perturbations of Schwarzschild spacetime by solving a hyperboloidal initial value problem for the Bardeen-Press equation. Compactification along hyperboloidal surfaces in a scri-fixing gauge allows us to have access…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Anil Zenginoglu , Dario Nunez , Sascha Husa

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

The gravitational perturbations of a rotating Kerr black hole are notoriously complicated, even at the linear level. In 1973, Teukolsky showed that their physical degrees of freedom are encoded in two gauge-invariant Weyl curvature scalars…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Roman Berens , Trevor Gravely , Alexandru Lupsasca

Global topological defects described by real scalar field in (3,1) dimensions coupled to gravity are analyzed. We consider a class of scalar potentials with explicit dependence with distance, evading Derrick's theorem and leading to defects…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Bazeia , C. Furtado , A. R. Gomes

We propose a cosmological model in the framework of the Poincar\'e gauge theory of gravity (PG). The gravitational Lagrangian is quadratic in curvature and torsion. In our specific model, the Lagrangian contains (i) the curvature scalar $R$…

General Relativity and Quantum Cosmology · Physics 2011-02-25 Peter Baekler , Friedrich W. Hehl , James M. Nester

Typical applications of gravitational lensing use the properties of electromagnetic or gravitational waves to infer the geometry through which those waves propagate. Nevertheless, the optical fields themselves - as opposed to their…

General Relativity and Quantum Cosmology · Physics 2019-12-10 Abraham I. Harte

While homogeneous cosmologies have long been studied in the group field theory (GFT) approach to quantum gravity, including a quantum description of cosmological perturbations is highly non-trivial. Here we apply a recent proposal for…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Steffen Gielen , Lisa Mickel

In the Kaluza - Klein approach the (4+d)-dimensional Einstein--Hilbert gravity action is considered. The extra d-dimensional manifold V_d is a Riemann space with the d-parametric group of isometry $G_d$ which acts on V_d by the left shifts…

High Energy Physics - Theory · Physics 2009-10-31 Yu. P. Peresun'ko

We calculate the odd-parity, radiative ($\ell \ge 2$) parts of the metric perturbation in Lorenz gauge caused by a small compact object in eccentric orbit about a Schwarzschild black hole. The Lorenz gauge solution is found via gauge…

General Relativity and Quantum Cosmology · Physics 2013-03-20 Seth Hopper , Charles R. Evans

In this work, we investigate the generation and propagation of gravitational waves within a minimal gravitational SME (Standard Model Extension). Starting from the modified graviton dispersion relation derived in the linearized gravity…

General Relativity and Quantum Cosmology · Physics 2026-03-16 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo

Gravitational lensing in metric theories of gravity is discussed. I introduce a generalized approximate metric element, inclusive of both post-post-Newtonian (ppN) contributions and gravito-magnetic field. Following Fermat's principle and…

Astrophysics · Physics 2009-11-07 M. Sereno

We obtain all ``regularization parameters'' (RP) needed for calculating the gravitational and electromagnetic self forces for an arbitrary geodesic orbit around a Schwarzschild black hole. These RP values are required for implementing the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Leor Barack , Amos Ori

In this work, we focus on the theory of Gravito-Electromagnetism (GEM) -- the theory that describes the dynamics of the gravitational field in terms of quantities met in Electromagnetism -- and we propose two novel forms of metric…

General Relativity and Quantum Cosmology · Physics 2017-03-13 Athanasios Bakopoulos , Panagiota Kanti

We consider the recent calculation gr-qc/0508124 of the graviton propagator in the spinfoam formalism. Within the 3d toy model introduced in gr-qc/0512102, we test how the spinfoam formalism can be used to construct the perturbative…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Etera R. Livine , Simone Speziale , Joshua L. Willis

A numerical study of the Einstein field equations, based on the 3+1 foliation of the spacetime, is presented. A pseudo-spectral technique has been employed for simulations in vacuum, within two different formalisms, namely the…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Claudio Meringolo , Sergio Servidio , Pierluigi Veltri
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