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Following some strong argumentations of differential geometry in the Landau's book, some corrections about errors in the old literature on scalar gravitational waves (SGWs) are given and discussed. In the analysis of the response ofi…

General Physics · Physics 2014-01-14 Christian Corda

In this paper, we study the properties of gravitational waves in the scalar-tensor-vector gravity theory. The polarizations of the gravitational waves are investigated by analyzing the relative motion of the test particles. It is found that…

General Relativity and Quantum Cosmology · Physics 2019-12-19 Yunqi Liu , Wei-Liang Qian , Yungui Gong , Bin Wang

The standard linear approach to the gravitational waves theory is critically reviewed. Contrary to the prevalent understanding, it is pointed out that this theory contains many conceptual and technical obscure issues that require further…

General Relativity and Quantum Cosmology · Physics 2015-05-28 J. G. Pereira

The response of a gravitational wave detector to scalar waves is analysed in the framework of the debate on the choice of conformal frames for scalar-tensor theories. A correction to the geodesic equation arising in the Einstein conformal…

High Energy Physics - Theory · Physics 2009-11-07 S. Bellucci , V. Faraoni , D. Babusci

Teleparallel theory of gravity and its modifications have been studied extensively in literature. However, gravitational waves has not been studied enough in the framework of teleparallelism. In the present study, we discuss gravitational…

General Relativity and Quantum Cosmology · Physics 2018-07-04 Habib Abedi , Salvatore Capozziello

We derive the perturbation equations for relativistic stars in scalar-tensor theories of gravity and study the corresponding oscillation spectrum. We show that the frequency of the emitted gravitational waves is shifted proportionally to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Hajime Sotani , Kostas D. Kokkotas

Introduction to the theoretical foundations of gravitational waves: from general relativity to detection and binary system waveforms. Lecture notes prepared for the MaNiTou summer school on gravitational waves. Draft chapter for the CNRS…

General Relativity and Quantum Cosmology · Physics 2025-10-10 Simone Speziale , Danièle A. Steer

As a low energy effective field theory, classical General Relativity receives an infrared relevant modification from the conformal trace anomaly of the energy-momentum tensor of massless, or nearly massless, quantum fields. The local form…

General Relativity and Quantum Cosmology · Physics 2018-10-04 Emil Mottola

The clustering of gravitational waves in luminosity distance space is emerging as a promising probe of the growth of structure. Just like for galaxies, its osbervation is subject to a number of relativistic corrections that affect the…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-20 Anna Balaudo , Mattia Pantiri , Alessandra Silvestri

In the bibliography a certain confusion arises in what regards to the classification of the gravitational theories into scalar-tensor theories and general relativity with a scalar field either minimally or non-minimally coupled to matter.…

General Relativity and Quantum Cosmology · Physics 2020-04-27 Israel Quiros , Roberto De Arcia , Ricardo García-Salcedo , Tame Gonzalez , Francisco Antonio Horta-Rangel

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

In dark-energy models where a scalar field is nonminimally coupled to the spacetime geometry, gravitational waves are expected to be supplemented with a scalar mode. Such scalar waves may interact with the standard tensor waves, thereby…

General Relativity and Quantum Cosmology · Physics 2022-05-12 Charles Dalang , Pierre Fleury , Lucas Lombriser

The detection of gravitational waves by the Laser Interferometer Gravitational-Wave Observatory opens a new era to use gravitational waves to test alternative theories of gravity. We investigate the polarizations of gravitational waves in…

General Relativity and Quantum Cosmology · Physics 2018-04-02 Yungui Gong , Shaoqi Hou

Unlike general relativity, the scalar gravitational waves can be excited due to the radial oscillations in scalar-tensor gravity. To examine the scalar gravitational waves in scalar-tensor gravity, we derive the evolution equations of the…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Hajime Sotani

We present a systematic and robust approach to nonlinear gravitational perturbations of vacuum spacetimes. This approach provides a basis for a theory of nonlinear gravitational waves. In particular, we show that the system of perturbative…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Andrzej Rostworowski

Small-scale scalar perturbations amplified during inflation can induce primordial gravitational waves through tensor-scalar interactions. A long-standing controversial issue is whether the one-loop corrections to tensor perturbations exist…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Cheng-Jun Fang , Han-Wen Hu , Zong-Kuan Guo

We analyze the gravitational waves within the Spinor Theory of Gravity and compare it with the General Relativity proposal. In the case of STG a gravitational wave may occur if the effective gravitational metric induced by the spinorial…

General Relativity and Quantum Cosmology · Physics 2021-04-26 Mario Novello , Angelo E. S. Hartmann

Even if Einstein's General Relativity achieved a great success and overcame lots of experimental tests, it also showed some shortcomings and flaws which today advise theorists to ask if it is the definitive theory of gravity. In this letter…

General Relativity and Quantum Cosmology · Physics 2009-02-16 Christian Corda

From modern observations of gravitational interactions, it can be inferred that there is much left to discover about the fundamental gravitational field. Since the advent of the General Theory of Relativity over a century ago, we have come…

General Relativity and Quantum Cosmology · Physics 2018-10-11 Ronald Gamble, , K. M. Flurchick

In this paper we study gravitational wave perturbations in a cosmological setting of bigravity which can reproduce the {\Lambda}CDM background and large scale structure. We show that in general gravitational wave perturbations are unstable…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Giulia Cusin , Ruth Durrer , Pietro Guarato , Mariele Motta
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