Verification of Einstein General theory of Relativity with Gravitational Waves

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Date

2021-07-11

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Addis Ababa University

Abstract

Gravitational wave science is one of direct observation of the waves predicted by Einstein’s general theory of relativity and opening the exciting new field of gravitational wave astronomy. In this thesis work we study gravitational waves and we also present some of the general relativity test of gravitational wave such as linear approximation of Einstein field equation which is Einstein equation for a weak gravitational field simply _h__ = 0, thus, the metric perturbations satisfy the flat space wave equation and the solutions can therefore be interpreted as gravitational waves polarization(plus and cross polarization). In this thesisWe also found that gravitational wave emites when BBHs are spiraling with each other. We suggested that high amplitude of gravitational waves are formed around merger of BBHs, the amplitude of GWs large for high masses and also the amplitude fails when the waves moves away from the source like standard siren’s of h / 1 r . We also checked that SEOBNR and IMRPhenom models are matched with pridiction of GR simulated by NR and the waveform observed from LIGO. These waveform comparison tells us Einstein general theory of relativity passes the test of GW.

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Keywords

Verification, Einstein General, Relativity, Gravitational Waves

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