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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

We present a new measurement of the Lense-Thirring effect on the orbits of the geodetic satellites LAGEOS, LAGEOS II and LARES. This secular precession is a general relativity effect produced by the gravitomagnetic field of the Earth…

General Relativity and Quantum Cosmology · Physics 2019-10-07 David M. Lucchesi , Massimo Visco , Roberto Peron , Massimo Bassan , Giuseppe Pucacco , Carmen Pardini , Luciano Anselmo , Carmelo Magnafico

We investigate the behaviour of the Tolman metrics within the formalism of the trace-free (or unimodular) gravity. While this approach is similar to the standard Einstein field equations, some subtlety arises. The effective number of…

General Relativity and Quantum Cosmology · Physics 2018-06-12 Sudan Hansraj , Njabulo Mkhize

An exact expression for the rate of dragging of inertial frames (Lense-Thirring (LT) precession) in a general stationary spacetime, is derived without invoking the weak field approximation. This expression, when used for the Kerr metric,…

General Relativity and Quantum Cosmology · Physics 2013-04-29 Chandrachur Chakraborty , Parthasarathi Majumdar

Conservation laws in gravitational theories with diffeomorphism and local Lorentz symmetry are studied. Main attention is paid to the construction of conserved currents and charges associated with an arbitrary vector field that generates a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yuri N. Obukhov , Guillermo F. Rubilar , J. G. Pereira

Successful detection of gravitational waves has presented a new avenue to explore the nature of gravity. With the cumulative catalog of detected events, we can perform tests on General Relativity from various aspects with increasing…

General Relativity and Quantum Cosmology · Physics 2023-03-07 Rui Niu , Tao Zhu , Wen Zhao

The role played by torsion in gravitation is critically reviewed. After a description of the problems and controversies involving the physics of torsion, a comprehensive presentation of the teleparallel equivalent of general relativity is…

General Relativity and Quantum Cosmology · Physics 2009-11-11 H. I. Arcos , J. G. Pereira

The tetrad method is used for an introduction of local Lorentz frames and a detailed analysis of local Lorentz transformations. A formulation of equations of motion in local Lorentz frames is based on the Pomeransky-Khriplovich…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Alexander J. Silenko

Everyday experience with centrifugal forces has always guided thinking on the close relationship between gravitational forces and accelerated systems of reference. Once spatial gravitational forces and accelerations are introduced into…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Donato Bini , Paolo Carini , Robert T Jantzen

We revisit gravitational wave (GW) memory as the key to measuring spacetime symmetries, extending beyond its traditional role in GW searches. In particular, we show how these symmetries may be probed via displacement and spin memory…

General Relativity and Quantum Cosmology · Physics 2024-06-17 Boris Goncharov , Laura Donnay , Jan Harms

The action of general relativity with fermions has two independent symmetries: general coordinate invariance and local Lorentz invariance. General coordinate transformations act on coordinates and tensor indices, while local Lorentz…

High Energy Physics - Theory · Physics 2024-04-10 Kevin Cahill

Gravitational memory is a zero-frequency effect associated with a permanent change in the asymptotic spacetime metric induced by radiation. Although its universal manifestation is a net change in the proper distances between freely falling…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Jann Zosso , Lorena Magaña Zertuche , Silvia Gasparotto , Adrien Cogez , Henri Inchauspé , Milo Jacobs

A gravitational field can be seen as the anholonomy of the tetrad fields. This is more explicit in the teleparallel approach, in which the gravitational field-strength is the torsion of the ensuing Weitzenboeck connection. In a tetrad…

General Relativity and Quantum Cosmology · Physics 2015-06-25 R. Aldrovandi , P. B. Barros , J. G. Pereira

Guided by the Einstein equivalence principle that identifies the phenomenon of gravitation as a manifestation of the dynamics of spacetime in contrast to a localizable force, we review and explore its consequences on formulating a theory of…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Jann Zosso

We revisit the issue of memory effects, i.e. effects giving rise to a net cumulative change of the configuration of test particles, using a toy model describing the emission of radiation by a compact source and focusing on the scalar, hence…

General Relativity and Quantum Cosmology · Physics 2021-03-10 Hebertt Leandro , Riccardo Sturani

An interpretation of general relativity is developed in which the energy used to lift a body in a static gravitational field increases its rest mass. Observers at different gravitational potentials would experience different mass reference…

General Relativity and Quantum Cosmology · Physics 2012-12-04 James Kentosh

Viewing gravitational energy-momentum as equal by observation, but different in essence from inertial energy-momentum naturally leads to the gauge theory of volume-preserving diffeormorphisms of an inner Minkowski space which can describe…

Mathematical Physics · Physics 2012-03-13 C. Wiesendanger

We derive the equation of matter density perturbations on sub-horizon scales around a flat Friedmann-Lema\^\i tre-Robertson-Walker background for the general Lagrangian density $f(R,\GB)$ that is a function of a Ricci scalar $R$ and a…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-13 Antonio De Felice , Teruaki Suyama

Gravitational-wave memory effects are identified by their distinctive effects on families of freely falling observers: after a burst of waves pass by their locations, memory effects can cause lasting relative displacements of the observers.…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Shammi Tahura , David A. Nichols , Alexander Saffer , Leo C. Stein , Kent Yagi

First-order general relativity in $n$ dimensions ($n \geq 3$) has an internal gauge symmetry that is the higher-dimensional generalization of three-dimensional local translations. We report the extension of this symmetry for $n$-dimensional…

General Relativity and Quantum Cosmology · Physics 2020-01-27 Merced Montesinos , Rodrigo Romero , Diego Gonzalez