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We investigate the cosmological background evolution and perturbations in a general class of spatially covariant theories of gravity, which propagates two tensor modes and one scalar mode. We show that the structure of the theory is…

General Relativity and Quantum Cosmology · Physics 2016-02-09 Tomohiro Fujita , Xian Gao , Jun'ichi Yokoyama

We give a lower bound for the Lorentz length of the ADM energy-momentum vector (ADM mass) of 3-dimensional asymptotically flat initial data sets for the Einstein equations. The bound is given in terms of linear growth `spacetime harmonic…

Differential Geometry · Mathematics 2021-01-19 Sven Hirsch , Demetre Kazaras , Marcus Khuri

The "gravitational memory effect" due to an exact plane wave provides us with an elementary description of the diffeomorphisms associated with soft gravitons. It is explained how the presence of the latter may be detected by observing the…

General Relativity and Quantum Cosmology · Physics 2017-10-02 P. -M. Zhang , C. Duval , G. W. Gibbons , P. A. Horvathy

The gravitational wave memory effect is characterized by the permanent relative displacement of a pair of initially comoving test particles that is caused by the passage of a burst of gravitational waves. Recent research on this effect has…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Éanna É. Flanagan , Alexander M. Grant , Abraham I. Harte , David A. Nichols

We study the tensorial modes of the two-fluid model, where one of this fluids has an equation of state $p = - \rho/3$ (variable cosmological constant, cosmic string fluid, texture) or $p = - \rho$ (cosmological constant), while the other…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. C. Fabris , S. V. B. Goncalves

We construct explicitly deformations of Einstein's theory of gravity that are consistent and phenomenologically viable since they respect, in particular, cosmological backgrounds. We show that these deformations have unique symmetries in…

High Energy Physics - Theory · Physics 2013-05-30 Felix Berkhahn , Dennis Dietrich , Stefan Hofmann , Florian Kühnel , Parvin Moyassari

We investigate a simple variation of the Generalized Harmonic method for evolving the Einstein equations. A flat space wave equation for metric perturbations is separated from the Ricci tensor, with the rest of the Ricci tensor becoming a…

General Relativity and Quantum Cosmology · Physics 2009-02-06 Travis Garrett

We investigate stability of the Einstein static universe against the scalar, vector and tensor perturbations in the context of induced matter brane gravity. It is shown that in the framework of this model, the Einstein static universe has a…

General Relativity and Quantum Cosmology · Physics 2015-04-22 Y. Heydarzade , F. Darabi

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

We examine the fundamental question whether a random discrete structure with the minimal number of restrictions can converge to continuous metric space. We study the geometrical properties such as the dimensionality and the curvature…

Disordered Systems and Neural Networks · Physics 2024-05-14 Ioannis Kleftogiannis , Ilias Amanatidis

We introduce Einstein Fields, a neural representation designed to compress computationally intensive four-dimensional numerical relativity simulations into compact implicit neural network weights. By modeling the metric, the core tensor…

Machine Learning · Computer Science 2026-02-10 Sandeep Suresh Cranganore , Andrei Bodnar , Arturs Berzins , Johannes Brandstetter

The Einstein-Straus spacetime describes a nonrotating black hole immersed in a matter-dominated cosmology. It is constructed by scooping out a spherical ball of the dust and replacing it with a vacuum region containing a black hole of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 William G. Laarakkers , Eric Poisson

We consider the 3-dimensional formulation of Einstein's theory for spacetimes possessing a non-null Killing field $\xi^a$. It is known that for the vacuum case some of the basic field equations are deducible from the others. It will be…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Istvan Racz

It is first argued that radiation by a uniformly accelerated charge in flat space-time indicates the need for a unified geometric theory of gravity and electromagnetism. Such a theory, based on a metric-affine $U_4$ manifold, is constructed…

General Physics · Physics 2018-08-30 Partha Ghose

Gravitational wave solutions to Einstein's equations and their generation are examined in D-dimensional flat spacetimes. First the plane wave solutions are analyzed; then the wave generation is studied with the solution for the metric…

High Energy Physics - Theory · Physics 2009-11-07 Vitor Cardoso , Oscar J. C. Dias , Jose' P. S. Lemos

The usual gravitational wave memory effect can be understood as a change in the separation of two initially comoving observers due to a burst of gravitational waves. Over the past few decades, a wide variety of other, "persistent"…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Alexander M. Grant

The new information-theoretic Process Physics has shown that space is a quantum foam system with gravity being, in effect, an inhomogeneous in-flow of the quantum foam into matter. The theory predicts that absolute motion with respect to…

General Physics · Physics 2010-07-14 Reginald T. Cahill

It is well known that two types of gravitational wave memory exist in general relativity (GR): the linear memory and the non-linear, or Christodoulou memory. These effects, especially the latter, depend on the specific form of Einstein…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Song Ming Du , Atsushi Nishizawa

The generation of gravitational waves from a post-Newtonian source endowed with a quantum spin, modeled by the Weyssenhoff fluid, is investigated in the context of Einstein-Cartan theory at the first post-Newtonian level by resorting to the…

General Relativity and Quantum Cosmology · Physics 2022-07-05 Emmanuele Battista , Vittorio De Falco

Motivated by the corrected form of the entropy-area law, and with the help of von Neumann entropy of quantum matter, we construct an emergent spacetime by the virtue of the geometric language of statistical information manifolds. We discuss…

General Relativity and Quantum Cosmology · Physics 2023-07-24 Hassan Alshal
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