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We discuss an approach to gravitational waves based on Geometric Algebra and Gauge Theory Gravity. After a brief introduction to Geometric Algebra (GA), we consider Gauge Theory Gravity, which uses symmetries expressed within the GA of flat…

General Relativity and Quantum Cosmology · Physics 2019-12-13 Anthony N. Lasenby

We investigate the production of gravitational waves during the inspiral of compact binaries close to their merger in the context of a conformal gravity model. The model incorporates five massive polarization degrees of freedom, besides the…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Patric Hölscher , Dominik J. Schwarz

This article introduces a nonstatic Reissner-Nordstr\"om metric, a metric that does not emit electromagnetic waves but can emit gravitational waves. We first use the GR theory to study a charged spherically symmetric gravitational source…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Pham Van Ky

Gravitational-wave astronomy provides a promising avenue for the discovery of new physics beyond general relativity as it probes extreme curvature and ultra-relativistic dynamics. However, in the absence of a compelling alternative to…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Lachlan Passenger , Shun Yin Cheung , Nir Guttman , Nikhil Kannachel , Paul D. Lasky , Eric Thrane

We find exact nonlinear solutions of general relativity that represent twisted gravitational waves (TGWs) in the presence of a cosmological constant. A TGW is a nonplanar wave propagating along a fixed spatial direction with a null Killing…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Hassan Firouzjahi , Bahram Mashhoon

We derive the complete spectrum of gravitational waves induced by primordial scalar perturbations ranging over all observable wavelengths. This scalar-induced contribution can be computed directly from the observed scalar perturbations and…

High Energy Physics - Theory · Physics 2008-11-26 Daniel Baumann , Kiyotomo Ichiki , Paul J. Steinhardt , Keitaro Takahashi

We prove that the flux of gravitational radiation from an isolated source in the Nonsymmetric Gravitational Theory is identical to that found in Einstein's General Theory of Relativity.

General Relativity and Quantum Cosmology · Physics 2010-11-01 N. J. Cornish , J. W. Moffat , D. C. Tatarski

We analyze equations describing gravitational waves in the Myers-Perry and Gibbons-Lu-Page-Pope geometries with arbitrary rotation parameters. Assuming that at least one rotation parameter vanishes, we demonstrate full separability of…

High Energy Physics - Theory · Physics 2025-11-21 Oleg Lunin

Spherical dust collapse generally forms a shell focusing naked singularity at the symmetric center. This naked singularity is massless. Further the Newtonian gravitational potential and speed of the dust fluid elements are everywhere much…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K. Nakao , H. Iguchi , T. Harada

We present a new idea that allows us to detect gravitational waves without being disturbed by any kind of displacement noise, based on the fact that gravitational waves and test-mass motions affect the propagations of light differently. We…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Seiji Kawamura , Yanbei Chen

We consider the gravitational radiation in conformal gravity theory. We perturb the metric from flat Mikowski space and obtain the wave equation after introducing the appropriate transformation for perturbation. We derive the effective…

General Relativity and Quantum Cosmology · Physics 2018-08-28 Rong-Jia Yang

We present the first numerical simulations of asymptotically flat space-times whose computational domain includes past and future null-infinity. As an application, we explore the scattering of a gravitational wave in a black hole…

General Relativity and Quantum Cosmology · Physics 2025-04-04 Jörg Frauendiener , Chris Stevens , Sebenele Thwala

We consider the propagation of strong gravitational waves interacting with a nonperturbative vacuum of spinor fields. To described the latter, we suggest an approximate model. The corresponding Einstein equation has the form of the…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Vladimir Dzhunushaliev , Vladimir Folomeev

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

General Physics · Physics 2025-05-02 Victor Atanasov , Avadh Saxena

A new solution with constant torsion is derived using the field equations of f(T). Asymptotic forms of energy density, radial and transversal pressures are shown to meet the standard energy conditions, i.e., weak and null energy conditions…

General Physics · Physics 2016-10-24 Gamal G. L. Nashed

An axiomatic theory of classical nondissipative waves is proposed that is constructed based on the definition of a wave as a multidimensional oscillator. Waves are represented as abstract vectors $|\psi\rangle$ in the appropriately defined…

Plasma Physics · Physics 2014-03-06 I. Y. Dodin

It is shown that the equations of gravitational waves and cosmological acceleration follow from the tensor of inertial forces. The possibility of the existence of three types of gravitational waves: transverse, potential and vortex waves…

General Physics · Physics 2022-02-10 Yurii A. Spirichev

We consider the scattering of a low-frequency gravitational wave by a massive compact body in vacuum. We apply partial-wave methods to compute amplitudes for the helicity-conserving and helicity-reversing contributions to the cross section,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan

In this paper we study consistent solutions of spherically symmetric space in metric f(R) gravity theory. Here we inversely obtain a generic action from metric solutions that describe flat rotation curves in spiral galaxies without dark…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Solmaz Asgari , Reza Saffari

Vacuum gravitational fields admitting a light-like Killing field were systematically studied starting around 1960. Besides the already known plane waves, a second class of gravitational wave fields was found. In contrast to plane waves,…

General Relativity and Quantum Cosmology · Physics 2020-02-06 G. Dautcourt