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Axisymmetric numerical simulations of rotating stellar core collapse to a neutron star are performed in the framework of full general relativity. The so-called Cartoon method, in which the Einstein field equations are solved in the…

General Relativity and Quantum Cosmology · Physics 2011-07-18 Masaru Shibata , Yu-ichirou Sekiguchi

In this paper, we establish a unified parameterized framework for analyzing the polarization modes of gravitational waves in the general metric theory (gravity is only described by the metric) and the general scalar-tensor theory (gravity…

General Relativity and Quantum Cosmology · Physics 2024-02-21 Yu-Qi Dong , Yu-Qiang Liu , Yu-Xiao Liu

Light undergoes perturbation as gravitational waves pass by. This is shown by solving Maxwell's equations in a spacetime with gravitational waves; a solution exhibits a perturbation due to gravitational waves. We determine the perturbation…

General Relativity and Quantum Cosmology · Physics 2021-07-05 Dong-Hoon Kim , Chan Park

General relativity and its cosmological solution predicts the existence of tensor modes of perturbations evolving on top of our Friedman-Lema\^itre-Robertson-Walker expanding Universe. Being gauge invariant and not necessarily coupled to…

General Relativity and Quantum Cosmology · Physics 2023-01-20 Amaury Micheli , Patrick Peter

This article is intended for undergraduate students with the aim to provide a pedagogical introduction to the physics of stellar tidal deformations. The spherically symmetric shape of any star is deformed via rotation around an arbitrary…

High Energy Astrophysical Phenomena · Physics 2020-07-02 Andreas Zacchi

We explore the scenario that the observable universe emerged from the vicinity of a negative mass ring singularity, and all content of the universe travels at the same group velocity close to the speed of light on a geodesic trajectory…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Michael Zlotnikov

We consider a model of the state evolution of relativistic vector bosons, which includes both the dynamical equations for the particle four-velocity and the equations for the polarization four-vector evolution in the field of a nonlinear…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. B. Balakin , V. Kurbanova

We present de Sitter Teukolsky waves -- linearised quadrupolar gravitational waves in the transverse-traceless gauge in de Sitter spacetime. In the cosmological constant $\Lambda$ going to zero limit, our solutions match to Teukolsky…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Harsh , Sk Jahanur Hoque , Sitender Pratap Kashyap , Amitabh Virmani

We consider generalised pp-waves with purely axial torsion, which we previously showed to be new vacuum solutions of quadratic metric-affine gravity. Our analysis shows that classical pp-waves of parallel Ricci curvature should not be…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Elvis Barakovic , Vedad Pasic

The construction of exact linearized solutions to the Einstein equations within the Bondi-Sachs formalism is extended to the case of linearization about de Sitter spacetime. The gravitational wave field measured by distant observers is…

General Relativity and Quantum Cosmology · Physics 2016-03-03 Nigel T. Bishop

Gravitational waves perturb the paths of photons, impacting both the time-of-flight and the arrival direction of light from stars. Pulsar timing arrays can detect gravitational waves by measuring the variations in the time of flight of…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Logan O'Beirne , Neil J. Cornish

In this thesis we consider several aspects of general relativity relating to exact solutions of the Einstein equations. In the first part gravitational plane waves in the Rosen form are investigated, and we develop a formalism for writing…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Bethan Cropp

This paper presents the vortical and self-similar solutions for 2D compressible Euler equations using the separation method. These solutions complement Makino's solutions in radial symmetry without rotation. The rotational solutions provide…

Mathematical Physics · Physics 2014-01-28 Manwai Yuen

In view of the observed flat rotation curves of spiral galaxies and motivated by the simple fact that within newtonian gravity a stationary axisymmetric mass distribution or dark matter vortex of finite extent readily displays a somewhat…

General Relativity and Quantum Cosmology · Physics 2023-03-09 Jan Govaerts

We investigate the gravitational lensing signatures of vorton configurations, considering the circular vorton, the Kibble-Turok vorton, and a newly proposed class that incorporates simultaneous excitations of the first, second, and third…

High Energy Physics - Theory · Physics 2025-12-09 Leonardus B. Putra , H. S. Ramadhan

In this paper we construct negatively curved Einstein spaces describing gravitational waves having a solvegeometry wave-front (i.e., the wave-fronts are solvable Lie groups equipped with a left-invariant metric). Using the Einstein…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sigbjorn Hervik

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yuri N. Obukhov

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

Relations between the kinematical tensors (the expansion, the shear, and the vorticity) and the polarization modes of gravitational waves are studied within the context of metric theories of gravity by considering freely falling test…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Cynthia Maldonado , Francisco Nettel , Pedro A. Sánchez

Polarization wiggling is an observational effect of a gravitational field on the polarization of electromagnetic radiation traversing it. We find that in linear gravity, the polarization wiggle rate contributions from scalar, vector and…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Kjell Tangen