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A short review of scalar curvature invariants in gravity theories is presented. We introduce how these invariants are constructed and discuss the minimal number of invariants required for a given spacetime. We then discuss applications of…

General Relativity and Quantum Cosmology · Physics 2021-06-14 B. Shakerin , D. D. McNutt , B. Mattingly , A. Kar , W. Julius , M. Gorban , C. Watson , P. Brown , J. S. Lee , E. W. Davis , G. B. Cleaver

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

In this short paper we investigate quantum gravitational effects on Einstein's equations using effective field theory techniques. We consider the leading order quantum gravitational correction to the wave equation. Besides the usual…

High Energy Physics - Theory · Physics 2016-08-24 Xavier Calmet , Iberê Kuntz , Sonali Mohapatra

Extended Theories of Gravity are considered as a new approach for solving the infrared and ultraviolet scale problems of the Standard Theory of Gravity (General Relativity). Observational evidence of gravitational waves and subsequent…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Sourav Roy Chowdhury , Maxim Khlopov

Gravitational waves provide a novel and powerful way to test astrophysical models of compact objects, early universe processes, beyond the Standard Model particle physics, dark matter candidates, Einstein's theory of General Relativity and…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-03 Mairi Sakellariadou

Scalar-tensor theories have shown promise in many sectors of cosmology. However, recent constraints from the speed of gravitational waves have put severe limits on the breadth of models such classes of theories can realize. In this work, we…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Fabiano F. Santos , Jackson Levi Said

We derive the tensor gravitational waveform generated by a binary of nonspinning compact objects (black holes or neutron stars) in a general class of scalar-tensor theories of gravity. The waveform is accurate to second post-Newtonian order…

General Relativity and Quantum Cosmology · Physics 2014-04-15 Ryan N. Lang

The propagation of gravitational waves is explored in the cosmological context. It is explicitly demonstrated that the propagation of gravitational waves could be influenced by the medium. It is shown that in the thermal radiation, the…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Kazuharu Bamba , Shin'ichi Nojiri , Sergei D. Odintsov

This is a brief note on a recently flagged issue \cite{CHK} regarding the precise characterization of quadrupolar truncation of the linearized gravitational waves in de Sitter space-time. An apparent inconsistency was noted while…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Ghanashyam Date

Gravitational waves travel through the distributions of matter and dark energy during propagation. For this reason, gravitational waves emitted from binary compact objects serve as a useful tool especially to probe the nature of dark…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Kei-ichiro Kubota , Shun Arai , Shinji Mukohyama

The stability of the spin of pulsars and the precision with which these spins can be determined, allows many unique tests of interest to physics and astrophysics. Perhaps the most challenging and revolutionary of these, is the detection of…

High Energy Astrophysical Phenomena · Physics 2024-05-07 Joris P. W. Verbiest , Sarah J. Vigeland , Nataliya K. Porayko , Siyuan Chen , Daniel J. Reardon

After extensively reviewing general relativistic gravitomagnetism, both historically and phenomenologically, we review in detail the so-called magnetic components of gravitational waves (GWs), which have to be taken into account in the…

General Relativity and Quantum Cosmology · Physics 2011-08-25 Lorenzo Iorio , Christian Corda

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

The timing of binary pulsars allows us to place some of the tightest constraints on modified theories of gravity. Perhaps some of the most interesting and well-motivated extensions to General Relativity are scalar-tensor theories, in which…

General Relativity and Quantum Cosmology · Physics 2019-09-04 David Anderson , Nicolás Yunes

Spinorial formalism is used to map every electromagnetic wave into the gravitational wave (within the linearized gravity). In this way we can obtain the gravitational counterparts of Bessel, Laguerre-Gauss, and other light beams carrying…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Iwo Bialynicki-Birula , Zofia Bialynicka-Birula

I give an overview of the motivations for gravitational-wave research, concentrating on the aspects related to ``fundamental'' physics.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michele Maggiore

We consider the possibility of energy being exchanged between the scalar and matter fields in scalar-tensor theories of gravity. Such an exchange provides a new mechanism which can drive variations in the gravitational 'constant' G. We find…

General Relativity and Quantum Cosmology · Physics 2009-01-14 T. Clifton , John D. Barrow

The investigation of the transverse effect of gravitational waves (GWs) could constitute a further tool to discriminate among several relativistic theories of gravity on the ground. After a review of the TT gauge, the transverse effect of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian Corda

Cosmological observations indicate that the Einstein equation may not be entirely correct to describe gravity. However, numerous modifications of these equations usually do not affect foundations of the theory. In this paper two important…

General Relativity and Quantum Cosmology · Physics 2009-12-01 Leonid V. Verozub

The inspiral of binary systems in vacuum is controlled by the stress-energy of gravitational radiation and any other propagating degrees of freedom. For gravitational waves, the dominant contribution is characterized by an effective…

General Relativity and Quantum Cosmology · Physics 2011-05-10 Leo C. Stein , Nicolas Yunes