Abstract

In preceding papers we have shown the fundamental aspects of the General Relativity (GR), of the emission and detection of gravitational waves (GW). With the same objective we analyze the two recent observations of the GW done by the Laser Interferometer Gravitational-Wave Observatory (LIGO) in the United States of America. These GW observations known as the GW150914 and GW151226 events are emitted by binary-star systems of black-holes (BBH). We present the basic principles of the laser interferometric technique that today is considered as the only one able to detect with certainty the GW. Using a simple relativistic approach we explain approximately the observed GW in the spiral stage.

Highlights

  • It is important to begin this paper remembering that solving the Einstein’s equations for a static distribution of mass [1 - 4] we can obtain the unperturbed metric tensor g(μoν)

  • We analyzed the two recent gravitational waves (GW) observations performed by the two interferometric detectors (LIGO) installed in the United States of America. These GW have been created in the merge of a binary black hole (BBH) system

  • As there is a huge amount of technical information involved in such major projects, we suggest to readers to search at Google using the words ”Interferometric Detectors”

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Summary

Introduction

It is important to begin this paper remembering that solving the Einstein’s equations for a static distribution of mass [1 - 4] we can obtain the unperturbed metric tensor g(μoν). Constructed, experimental tests [5 - 7] are shown, and there are deductions of the basic equations predicting the emission of gravitational waves (GW) [8] These equations have been used to estimate the intensities, wave amplitudes (or strain) hμν of the GW generated by some transmitter systems [9,10] like, for instance,binary stars, neutron star pulsations, the precession of deformed neutron stars with oscillating quadrupoles, rotating bars and cataclysmic processes that give rise to supernovae. These GW have been created in the merge of a binary black hole (BBH) system. These estimations are non rigorous, only instructive

Laser interferometric technique
Observations of Gravitational Waves by LIGO
Event GW150914 observation
Event GW151226 observation
Strain estimation for a binary-star system
Strain estimation
Strain h as a function of time

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