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We analyze the infrared structure and memory effects of a massless vector tensor theory with non minimal curvature coupling in asymptotically flat spacetimes. Using Bondi Sachs expansions, we identify the independent radiative data and…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Pouneh Safarzadeh Ilkhchi , Amin Rezaei Akbarieh , Shaoqi Hou

For (2+2)-dimensional nonholonomic distributions, the physical information contained into a spacetime (pseudo) Riemannian metric can be encoded equivalently into new types of geometric structures and linear connections constructed as…

General Relativity and Quantum Cosmology · Physics 2010-04-08 Sergiu I. Vacaru

It is well known that the memory effect in flat spacetime is parametrized by the BMS supertranslation. We investigate the relation between the memory effect and diffeomorphism in de Sitter spacetime. We find that gravitational memory is…

High Energy Physics - Theory · Physics 2017-07-14 Yuta Hamada , Min-Seok Seo , Gary Shiu

Gravitational waves are predicted by the general theory of relativity. In [6] D. Christodoulou showed that gravitational waves have a nonlinear memory. We proved in [3] that the electromagnetic field contributes at highest order to the…

Differential Geometry · Mathematics 2011-06-10 Lydia Bieri , PoNing Chen , Shing-Tung Yau

We consider a maximal extension of the Hilbert-Einstein action and analyze several interesting features of the theory. More specifically, the motion is non-geodesic and takes place in the presence of an extra force. These models could lead…

General Relativity and Quantum Cosmology · Physics 2012-11-05 Francisco S. N. Lobo , Tiberiu Harko

We study the motion of a gyroscope located far away from an isolated gravitational source in an asymptotically flat spacetime. As seen from a local frame tied to distant stars, the gyroscope precesses when gravitational waves cross its…

High Energy Physics - Theory · Physics 2023-11-10 Ali Seraj , Blagoje Oblak

Besides the transient effect, the passage of a gravitational wave also causes a persistent displacement in the relative position of an interferometer's test masses through the \emph{nonlinear memory effect}. This effect is generated by the…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Silvia Gasparotto , Rodrigo Vicente , Diego Blas , Alexander C. Jenkins , Enrico Barausse

We describe a theory that lives on the null conformal boundary of asymptotically flat space-time, and whose states encode the radiative modes of (super)gravity. We study the induced action of the BMS group, verifying that the Ward identity…

High Energy Physics - Theory · Physics 2015-06-19 Tim Adamo , Eduardo Casali , David Skinner

We argue that the most conservative geometric extension of Einstein gravity describing both positive and negative mass sources and observers is bimetric gravity and contains two copies of standard model matter which interact only…

General Relativity and Quantum Cosmology · Physics 2009-11-16 Manuel Hohmann , Mattias N. R. Wohlfarth

We prove that for spacetimes solving the Einstein-Maxwell (EM) equations, the electromagnetic field contributes at highest order to the nonlinear memory effect of gravitational waves. In [5] D. Christodoulou showed that gravitational waves…

Differential Geometry · Mathematics 2010-12-15 Lydia Bieri , PoNing Chen , Shing-Tung Yau

We present a perturbative treatment of gravitational wave memory. The coordinate invariance of Einstein's equations leads to a type of gauge invariance in perturbation theory. As with any gauge invariant theory, results are more clear when…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Lydia Bieri , David Garfinkle

We investigate some consequences of a specific non-conservation of the energy-momentum tensor on the physics of certain cosmic string configurations. This non-conservation is induced by a new gravitational theory recently introduced as an…

General Relativity and Quantum Cosmology · Physics 2019-02-26 E. A. F. Bragança , Thiago R. P. Caramês , Júlio C. Fabris , Antônio de Pádua Santos

We study the growth of subhorizon perturbations in brane-induced gravity using perturbation theory. We solve for the linear evolution of perturbations taking advantage of the symmetry under gauge transformations along the extra-dimension to…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-10 Roman Scoccimarro

Non-asymptotic convergence analysis of quasi-Newton methods has gained attention with a landmark result establishing an explicit local superlinear rate of O$((1/\sqrt{t})^t)$. The methods that obtain this rate, however, exhibit a well-known…

Optimization and Control · Mathematics 2023-10-19 Zhan Gao , Aryan Mokhtari , Alec Koppel

The relationship between observed tracers such as galaxies and the underlying dark matter distribution is crucial in extracting cosmological information. As the linear bias model breaks down at quasi-linear scales, the standard perturbative…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Xin Wang , Alex Szalay

We obtain a new, exact, solution of the Einstein's equation in higher dimensions. The source is given by a static spherically symmetric, Gaussian distribution of mass and charge. De-localization of mass and charge is due to the presence of…

High Energy Physics - Theory · Physics 2009-02-19 Euro Spallucci , Anais Smailagic , Piero Nicolini

Gravitational wave memory is said to arise when a gravitational wave burst produces changes in a physical system that persist even after that wave has passed. This paper analyzes gravitational wave bursts in plane wave spacetimes, deriving…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Abraham I. Harte , Thomas B. Mieling , Marius A. Oancea , Elisabeth Steininger

The gravitational-wave (GW) memory effect is a strong-field relativistic phenomenon that is associated with a persistent change in the GW strain after the passage of a GW. The nonlinear effect arises from interactions of GWs themselves in…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Arwa Elhashash , David A. Nichols

We study relativistic particle, string and membrane theories as defining field theories containing gravity in (0+1), (1+1) and (2+1) spacetime dimensions respectively. We show how an off shell invariance of the massless particle action…

High Energy Physics - Theory · Physics 2007-05-23 W. Chagas-Filho

Nonlinear gravitational wave memory is a surprise of theoretical physics. Whereas it is understood that a gravitational wave induces oscillatory squeezing and stretching motion in a collection of freely-falling test masses, it is unexpected…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Robert R. Caldwell
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