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Gravitational waveforms and production could be considerably affected by gravitomagnetic corrections considered in relativistic theory of orbits. Beside the standard periastron effect of General Relativity, new nutation effects come out…

General Relativity and Quantum Cosmology · Physics 2015-05-14 S. Capozziello , M. De Laurentis , L. Forte , F. Garufi , L. Milano

Corrections to the relativistic orbits are studied considering higher order approximations induced by gravitomagnetic effects. We discuss in details how such corrections come out taking into account magnetic components in the weak field…

General Relativity and Quantum Cosmology · Physics 2009-03-12 S. Capozziello , M. De Laurentis , F. Garufi , L. Milano

After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Luc Blanchet

The linear- and quadratic-in-spin contributions to the binding potential and gravitational-wave flux from binary systems are derived to next-to-next-to-leading order in the Post-Newtonian (PN) expansion of general relativity, including…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Gihyuk Cho , Rafael A. Porto , Zixin Yang

Gravitational Wave Astronomy is becoming a reality as Earth-based interferometric gravitational-wave detectors reach the design sensitivities and move towards advanced configurations that may lead to gravitational-wave detections in the…

Astrophysics · Physics 2008-08-05 Carlos F. Sopuerta

This review paper is devoted to the theory of orbits. We start with the discussion of the Newtonian problem of motion then we consider the relativistic problem of motion, in particular the PN approximation and the further gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Mariafelicia De Laurentis

The modeling of gravitational wave ringdown has traditionally relied on linear perturbation theory, which mainly describes the late-time behavior of a perturbed black hole after a binary merger. However, the need for more accurate ringdown…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Macarena Lagos

Extreme mass ratio bursts (EMRBs) have been proposed as a possible source for future space-borne gravitational wave detectors, such as the Laser Interferometer Space Antenna (LISA). These events are characterized by long-period,…

Astrophysics · Physics 2008-11-26 Nicolas Yunes , Carlos F. Sopuerta , Louis J. Rubbo , Kelly Holley-Bockelmann

We derive a gauge inspired combinatorial formula based on localization for the Post-Newtonian expansion of the gravitational wave form luminosity of binary systems made of objects with very different masses orbiting at large distances and…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Francesco Fucito , Jose Francisco Morales

These lectures aim at providing an introduction to the properties of gravitational waves and in particular to those gravitational waves that are expected as a consequence of perturbations of black holes and neutron stars. Imprinted in the…

General Relativity and Quantum Cosmology · Physics 2009-04-16 Luciano Rezzolla

Over the next decade, third-generation interferometers and the space-based LISA mission will observe binaries in galactic centers involving supermassive black holes with millions of solar masses. More precise measurements of more extreme…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Francisco Duque

In the coming decade, gravitational waves will convert the study of general relativistic aspects of black holes and stars from a largely theoretical enterprise to a highly interactive, observational/theoretical one. For example,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kip S. Thorne

A particle of mass $\mu$ moves on a circular orbit around a nonrotating black hole of mass $M$. Under the assumption $\mu \ll M$ the gravitational waves emitted by such a binary system can be calculated exactly numerically using black-hole…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Eric Poisson

Gravitational wave (GW) astronomy has revolutionized our capacity to explore nature. The next generation of observatories, among which the space-borne detector Laser Interferometer Space Antenna LISA, is expected to yield orders of…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Henri Inchauspé , Silvia Gasparotto , Diego Blas , Lavinia Heisenberg , Jann Zosso , Shubhanshu Tiwari

Higher-derivative modifications of general relativity are generically expected from effective field theory approaches to quantum gravity, and they arise naturally in Lorentz-violating theories such as Einstein-Ether gravity. In this work,…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Sayantan Choudhury , Md Khalid Hossain , Gulnur Bauyrzhan , Koblandy Yerzhanov

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

Gravitational wave radiation from periodic orbits in some standard regular black hole spacetimes is studied, primarily using known methods (numerical and analytic). We demonstrate specific differences with the singular Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Rishav Agrawal , Anjan Kar , Soumya Jana , Sayan Kar

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

The models currently used in the detection of gravitational waves (GWs) either do not consider a relative motion between the center-of-mass of the source and the observer, or usually only consider its effect on the frequencies of GWs.…

High Energy Astrophysical Phenomena · Physics 2020-04-28 Alejandro Torres-Orjuela , Xian Chen , Zhoujian Cao , Pau Amaro-Seoane , Peng Peng

We examine gravitational waves (GWs) from Binary Black Holes (BBH) as possible suitable systems for investigating the physical validity of theories predicting the Relative Locality (RL) effect, an effect arising in the kappa-Minkowski…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Daniel Rozental , Ofek Birnholtz
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