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We analytically study the gauge dependence of scalar-induced gravitational waves (SIGWs) sourced by primordial isocurvature perturbations during radiation domination (RD), working across nine gauges. Through analytical integrations of the…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Arshad Ali , Yang Lei , Mudassar Sabir

In this second article of the series, we apply our recently derived equation for the electric field propagation along light rays [arXiv:2004.03496], valid on the electromagnetic geometrical optics limit, to the special case of a toy…

General Relativity and Quantum Cosmology · Physics 2021-03-05 João C. Lobato , Isabela S. Matos , Lucas T. Santana , Ribamar R. R. Reis , Maurício O. Calvão

We analyze the response of the gravitational wave detector to a scalar massive plane gravitational wave. We give the compact form of the response and discuss its angular and frequency characteristics. The derivations is carried out in the…

General Relativity and Quantum Cosmology · Physics 2019-02-06 Arkadiusz Błaut

The direct detection of gravitational waves (GWs) opened a new chapter in the modern cosmology to probe possible deviations from the general relativity (GR) theory. In the present work, we investigate for the first time the modified GW form…

General Relativity and Quantum Cosmology · Physics 2019-09-16 Rafael C. Nunes , Marcio E. S. Alves , Jose C. N. de Araujo

The principle of local gauge invariance is applied to fractional wave equations and the interaction term is determined up to order $o(\bar{g})$ in the coupling constant $\bar{g}$. As a first application, based on the Riemann-Liouville…

Mathematical Physics · Physics 2008-11-26 Richard Herrmann

It is well known that Einstein's General Relativity (GR) achieved a great success and overcame lots of experimental tests. On the other hand, GR also showed some shortcomings and flaws which today advise theorists to ask if it is the…

General Relativity and Quantum Cosmology · Physics 2010-04-09 Christian Corda

The detection of gravitational waves (GWs) propagating through cosmic structures can provide invaluable information on the geometry and content of our Universe, as well as on the fundamental theory of gravity. In order to test possible…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Alice Garoffolo , Gianmassimo Tasinato , Carmelita Carbone , Daniele Bertacca , Sabino Matarrese

By utilizing quantum optics techniques, we examine the characteristics of a quantum gravitational wave (GW) signature at interferometers. In particular, we study the problem by analyzing the equations of motion of a GW interacting with an…

General Relativity and Quantum Cosmology · Physics 2023-08-28 Luca Abrahao , Francesco Coradeschi , Antonia Micol Frassino , Thiago Guerreiro , Jennifer Rittenhouse West , Enrico Junior Schioppa

Quantum sensors exploiting matter waves interferometry promise to realize a new generation of Gravitational Wave detectors. The intrinsic stability of specific atomic energy levels makes atom interferometers and clocks ideal candidates to…

Atomic Physics · Physics 2021-10-04 Andrea Bertoldi , Philippe Bouyer , Benjamin Canuel

We revisit the vital issue of gauge dependence in the scalar-induced secondary gravitational waves (SIGWs), focusing on the radiation domination (RD) and matter domination (MD) eras. The energy density spectrum is the main physical…

General Relativity and Quantum Cosmology · Physics 2023-08-10 Arshad Ali , Ya-Peng Hu , Mudassar Sabir , Taotao Sui

We study the gauge invariance of physical observables in holographic theories under the local diffeomorphism. We find that gauge invariance is intimately related to the holographic renormalisation: the local counter terms defined in the…

High Energy Physics - Theory · Physics 2015-07-29 Keun-Young Kim , Kyung Kiu Kim , Yunseok Seo , Sang-Jin Sin

The gauge dependence of the scalar induced gravitational waves (SIGWs) generated at the second order imposes a challenge to the discussion of the secondary gravitational waves generated by scalar perturbations. We provide a general formula…

General Relativity and Quantum Cosmology · Physics 2020-12-15 Yizhou Lu , Arshad Ali , Yungui Gong , Jiong Lin , Fengge Zhang

We study in detail a peculiar configuration of the Talbot-Lau matter wave interferometer, characterised by unequal distances between the two diffraction gratings and the observation plane. We refer to this apparatus as the "asymmetric…

Quantum Physics · Physics 2016-09-28 Simone Sala , Marco Giammarchi , Stefano Olivares

As a consequence of the extreme precision of the measurements it performs, an interferometric gravitational wave detector is a macroscopic apparatus for which quantum effects are not negligible. I observe that this property can be exploited…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Giovanni Amelino-Camelia

After an introduction emphasizing the importance of the gravitomag- netic effect in general relativity, with a resume of some space-based appli- cations, we discuss the so-called magnetic components of gravitational waves (GWs), which have…

General Relativity and Quantum Cosmology · Physics 2010-01-22 Lorenzo Iorio , Christian Corda

This article deals with the gravitational lensing (GL) of gravitational waves (GW). We compute the increase in the number of detected GW events due to GL. First, we check that geometrical optics is valid for the GW frequency range on which…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Arnaud-Varvella , M. -C. Angonin , Ph. Tourrenc

We consider a recent scheme of gravitational wave detection using atomic interferometers as inertial sensors, and reinvestigate its configuration using the concept of sensitivity functions. We show that such configuration can suppress noise…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Biao Tang , Baocheng Zhang , Lin Zhou , Jin Wang , Mingsheng Zhan

We report for the first time a method-independent geometrical expression for the angular resolution of an arbitrary network of interferometric gravitational wave (GW) detectors when the arrival-time of a GW is unknown. We discuss the…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Linqing Wen , Xilong Fan , Yanbei Chen

The measurement of the speed of gravitational waves (GWs) is useful to distinguish general relativity from massive gravity. We propose a new model-independent strategy to measure the speed of GWs with the distorted pulsars. Theoretically,…

High Energy Astrophysical Phenomena · Physics 2019-05-07 Shuang Du , Fang-Kun Peng , Miao Li

The advanced world-wide network of gravitational waves (GW) observatories is scheduled to begin operations within the current decade. Thanks to their improved sensitivity, they promise to yield a number of detections and thus to open a new…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Walter Del Pozzo