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The existence of gravitational radiation arriving at null infinity -- i.e. escaping from the physical system -- is addressed in the presence of a non-negative cosmological constant $\Lambda\geq 0$. The case with vanishing $\Lambda$ is well…

General Relativity and Quantum Cosmology · Physics 2022-08-11 José M. M. Senovilla

General relativity explains gravitational radiation from binary black hole or neutron star mergers, from core-collapse supernovae and even from the inflation period in cosmology. These waves exhibit a unique effect called memory or…

General Relativity and Quantum Cosmology · Physics 2015-05-21 Lydia Bieri , David Garfinkle , Shing-Tung Yau

The full relativity of the concepts of motion and rest, which is characteristic of the Einsteinian general relativity (GR), does not allow the generation of physical gravitational waves (GW's). -- The undulatory nature of a metric tensor is…

General Physics · Physics 2007-11-27 Angelo Loinger

The integrated Sachs-Wolfe (ISW) effect describes how photons are gravitationally redshifted, producing anisotropies in the Cosmic Microwave Background. We study the inverse problem and show that primordial gravitational perturbations, in…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Yiran Wang

Teleparallel Gravity is a gauge theory where gravity is a manifestation of the torsion of space-time and its success relies on being a possible solution to some problems of General Relativity. In this essay we introduce the construction of…

General Relativity and Quantum Cosmology · Physics 2023-05-12 Geovanny A. Rave-Franco , Celia Escamilla-Rivera

Gravitational memory, which describes the permanent shift in the strain after the passage of gravitational waves, is directly related to Weinberg's soft graviton theorems and the Bondi-Metzner-Sachs (BMS) symmetry group of asymptotically…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Valerio De Luca , Justin Khoury , Sam S. C. Wong

The t<0 branch of pre-big bang cosmological scenarios is subject to a gravitational wave instability. The unstable behaviour of tensor perturbations is derived in a very simple way in Hwang's covariant and gauge-invariant formalism…

General Relativity and Quantum Cosmology · Physics 2011-02-09 Valerio Faraoni

Two different approaches to gravitational perturbation theory appear to give two different answers for the properties of gravitational wave memory. We show that this contradiction is only apparent and the two approaches actually agree.

General Relativity and Quantum Cosmology · Physics 2015-07-15 David Garfinkle , Istvan Racz

The detection of gravitational waves based on the geodesic deviation equation is discussed. In particular, it is shown that the only non-vanishing components of the wave field in the conventional traceless-transverse gauge in linearized…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Leclerc

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

I show that radiative space-times are not asymptotically flat; rather, the radiation field gives rise to holonomy at null infinity. (This was noted earlier, by Bramson.) This means that, when gravitational radiation is present,…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Adam D. Helfer

We discuss the future of gravitational theories in the framework of gravitational wave (GW) astronomy after the recent GW detections (the events GW150914, GW151226, GW170104, GW170814, GW170817 and GW170608). In particular, a calculation of…

General Relativity and Quantum Cosmology · Physics 2018-01-26 Christian Corda

Relying only on the standard model of elementary particles and gravity, we study the details of a new source of gravitational waves whose origin is in quantum physics. Namely, it is well known that massless fields in curved backgrounds…

General Relativity and Quantum Cosmology · Physics 2019-08-07 De-Chang Dai , Dejan Stojkovic

A novel criterion to determine the presence of gravitational radiation arriving to, or departing from, null infinity of any weakly asymptotically-simple space-time with vanishing cosmological constant is given. The quantities involved are…

General Relativity and Quantum Cosmology · Physics 2020-02-04 Francisco Fernández-Álvarez , José M. M. Senovilla

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 find several missing one-loop-order contributions in previous considerations about secondary gravitational waves induced at nonlinear order in cosmological perturbations. We consider a consistent perturbative expansion to third-order in…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-03 Chao Chen , Atsuhisa Ota , Hui-Yu Zhu , Yuhang Zhu

Owing to the mass scale associated with the scalar longitudinal mode signal of gravitational wave predicted by modified theories of gravity, it should propagate at a subluminal speed and with a different frequency compared to the massless…

General Relativity and Quantum Cosmology · Physics 2024-10-21 Rakesh Das , Anirban Saha

We study a theory of minimally modified gravity called cuscuton/VCDM that propagates only two gravitational degrees of freedom. Despite being apparently different from general relativity (GR), it is in principle possible that this theory…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Katsuki Aoki , Francesco Di Filippo , Shinji Mukohyama

We derive consistent equations for gravitational wave oscillations in bigravity. In this framework a second dynamical tensor field is introduced in addition to General Relativity and coupled such that one massless and one massive linear…

General Relativity and Quantum Cosmology · Physics 2017-09-25 Kevin Max , Moritz Platscher , Juri Smirnov

Gravitational waves are thought to propagate unattenuated through matter due to a cancellation between graviton absorption and stimulated emission inferred from leading-order soft-graviton arguments. We revisit this reasoning and show that…

High Energy Physics - Phenomenology · Physics 2025-11-03 Wen-Yuan Ai , Sebastian A. R. Ellis , Josef Pradler