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Using the Einstein gravitation theory we show how to obtain the basic equations which predict the gravitational waves. This paper was written to graduate and post-graduate students of Physics. We deduce the equations didactically following…

General Relativity and Quantum Cosmology · Physics 2010-01-15 M. Cattani

The advent of gravitational-wave (GW) astronomy has presented us with a completely new means for observing the Universe, allowing us to probe its structure and evolution like never before. In this thesis, we explore three distinct but…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Alexander C. Jenkins

Gravitational waves encode invaluable information about the nature of the relatively unexplored extreme gravity regime, where the gravitational interaction is strong, non-linear and highly dynamical. Recent gravitational wave observations…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Katie Chamberlain , Nicolas Yunes

In this manuscript we review the theoretical foundations of gravitational waves in the framework of Albert Einstein's theory of general relativity. Following Einstein's early efforts we first derive the linearised Einstein field equations…

General Relativity and Quantum Cosmology · Physics 2018-05-22 Alain Dirkes

The first generation of gravitational wave interferometric detectors has taken data at, or close to, their design sensitivity. This data has been searched for a broad range of gravitational wave signatures. An overview of gravitational wave…

General Relativity and Quantum Cosmology · Physics 2011-01-28 Stephen Fairhurst , Gianluca M Guidi , Patrice Hello , John T Whelan , Graham Woan

We provide a pedagogical approach to gravitational waves in cosmology with focus on gravitational wave signals related to primordial black holes. These lectures notes contain more details than one is able to present in the two two-hour…

General Relativity and Quantum Cosmology · Physics 2023-07-17 Guillem Domènech

After giving a brief introduction and presenting a complete classification of gravitational waves (GWs) according to their frequencies, we review and summarize the detection methods, the sensitivities, and the sources. We notice that…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Kazuaki Kuroda , Wei-Tou Ni , Wei-Ping Pan

Pushing the precision frontier for gravitational waves is one of the most urgent tasks in theoretical physics today, in light of the increasing influx of data from a rapidly growing worldwide network of gravitational-wave detectors.

Popular Physics · Physics 2022-01-19 Michèle Levi

The collection of individually resolvable gravitational wave (GW) events makes up a tiny fraction of all GW signals which reach our detectors, while most lie below the confusion limit and go undetected. Like voices in a crowded room, the…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Arianna I. Renzini , Boris Goncharov , Alexander C. Jenkins , Pat M. Meyers

The past four years have seen a scientific revolution through the birth of a new field: gravitational-wave astronomy. The first detection of gravitational waves---recognised by the 2017 Nobel Prize in Physics---provided unprecedented tests…

In a recent paper we have deduced the basic equations that predict the emission of gravitational waves (GW) according to the Einstein gravitation theory. In a subsequent paper these equations have been used to calculate the luminosities and…

General Relativity and Quantum Cosmology · Physics 2010-04-15 M. Cattani

This is a preface introducing a Special Issue on the topic of "Guided-Wave Optics" published by Applied Sciences. The Special Issue is a collection of 20 original and review articles dealing with various fundamental and applied aspects of…

Optics · Physics 2017-09-19 Boris A. Malomed

This work introduces a geometrical method for analyzing transient gravitational waves recorded at interferometric observatories. This approach is intended to aid in assessing the performance and sensitivity of next-generation detector…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Osvaldo M. Moreschi

It is generally accepted that a first ever direct detection of gravity waves would herald a new era in astronomy and in fundamental physics. Ever since the early sixties, increasingly larger human and material resources are being invested…

Astrophysics · Physics 2007-05-23 Redouane Fakir

An enigmatic prediction of Einstein's general theory of relativity is gravitational waves. With the observed decay in the orbit of the Hulse-Taylor binary pulsar agreeing within a fraction of a percent with the theoretically computed decay…

General Relativity and Quantum Cosmology · Physics 2011-04-18 S. V. Dhurandhar

Resonant-mass gravitational waves detectors are reviewed from the concept of gravitational waves and its mathematical derivation, using Einstein's general relativity, to the present status of bars and spherical detectors, and their…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Odylio Denys Aguiar

In this paper, we review the theoretical basis for generation of gravitational waves and the detection techniques used to detect a gravitational wave. To materialize this goal in a thorough way we first start with a mathematical background…

General Relativity and Quantum Cosmology · Physics 2024-01-01 Saibal Ray , R. Bhattacharya , Sanjay K. Sahay , Abdul Aziz , Amit Das

We derive a lower bound on the sensitivity of generic mechanical and electromagnetic gravitational wave detectors. We consider both classical and quantum detection schemes, although we focus on the former. Our results allow for a simple…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Raffaele Tito D'Agnolo , Sebastian A. R. Ellis

Since their first detection in 2015, gravitational wave observations have enabled a variety of studies, ranging from stellar evolution to fundamental physics. In this chapter, we focus on their use as "standard sirens", describing the…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-04 Antonella Palmese , Simone Mastrogiovanni