Titlebook: General Relativity and Gravitational Waves; Essentials of Theory Sanjeev Dhurandhar,Sanjit Mitra Textbook 2022 The Editor(s) (if applicable

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The Equivalence Principle,We describe the broad physical concepts of the weak and strong equivalence principles, that form the foundation of the general theory of relativity. We make use of some of the well known thought experiments to explain and elaborate on these concepts.

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Textbook 2022advanced topics covered in this book is the fundamentals of gravitational wave data analysis, filling a gap in textbooks on general relativity. The topic blends smoothly with other chapters in the book not only because of the common area of research, but it uses similar differential geometric and al

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Jean-Luc Brylinski,Steven Zucker be used to raise and lower indices of tensors. This is explicitly demonstrated in an oblique Cartesian coordinate system to connect a contravariant vector with a covariant vector and regard it as the same entity (isomorphic) with contravariant and covariant components.

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Complex Numbers in Trigonometric Form,eed to consider only the weak field approximation and not slow motion—after all the GW, as we will show later, travel at the speed .. In order to make the weak field approximation we need to linearise Einstein’s equations. Note that since this is not the Newtonian approximation, because we allow spe