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The aim of this textbook is to present in a comprehensive way several advanced topics of general relativity, including gravitational waves, tests of general relativity, time delay, spinors in curved spacetime, Hawking radiation, and geodetic precession to mention a few. These are all important topics in today's research activities from both a theoretical and experimental point of view. This textbook is designed for advanced undergraduate and graduate students to strengthen the knowledge acquired during the core courses on General Relativity. The author developed the book from a series of yearly lectures with the intention of offering a gentle introduction to the field. This book helps understanding the more specialized literature and can be used as a first reading to get quickly into the field when starting research. Chapter-end exercises complete the learning material to master key concepts.

Astrophysics --- Geophysics --- zwaartekracht --- astrofysica --- General relativity (Physics) --- Astrophysics.

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The theory, observations, and applications of gravitational lensing constitute one of the most rapidly growing branches of astrophysics. The gravitational deflection of light generated by mass concentrations along a light path produces magnification, multiplicity, and distortion of images and delays photon propagation from one line of sight relative to another. The huge amount of scientific work on gravitational lensing produced over the last decade has clearly revealed its already substantial and wide impact and its potential for future astrophysical applications. The up-to-date contributions in this book are based on the lecture notes of the 33rd Saas–Fee Advanced Course of the Swiss Society of Astronomy and Astrophysics, entitled Gravitational Lensing: Strong, Weak, and Micro. The book comprises four complementary parts, written by leading experts in the field, constituting a genuine textbook about gravitational lensing: • Peter Schneider – Part 1: Introduction to Gravitational Lensing and Cosmology • Christopher Kochanek – Part 2: Strong Gravitational Lensing • Peter Schneider – Part 3: Weak Gravitational Lensing • Joachim Wambsganss – Part 4: Gravitational Microlensing Students and researchers alike will benefit from this comprehensive presentation of the astrophysical and astronomical aspects of gravitational lensing.

Gravitational lenses --- Lenses --- Astronomy. --- Astrophysics and Astroparticles. --- Astronomy, Astrophysics and Cosmology. --- Cosmology. --- Classical and Quantum Gravitation, Relativity Theory. --- Astronomy, Observations and Techniques. --- Gravitational lenses. --- Astrophysics. --- Gravitation. --- Observations, Astronomical. --- Astronomy—Observations. --- Astronomical observations --- Observations, Astronomical --- Field theory (Physics) --- Matter --- Physics --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Astronomy --- Deism --- Metaphysics --- Astronomical physics --- Cosmic physics --- Properties

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The ultimate proofs that black holes exist have been obtained very recently thanks to the detection of gravitational waves from their coalescence and due to material orbiting at a distance of some gravitational radii imaged by optical interferometry or X-ray reverberation mapping. This book provides three comprehensive and up-to-date reviews covering the gravitational wave breakthrough, our understanding of accretion and feedback in supermassive black holes and the relevance of black holes for the Universe since the Big Bang. Neil J. Cornish presents gravitational wave emission from black hole mergers and the physics of detection. Andrew King reviews the physics of accretion on to supermassive black holes and their feedback on host galaxies. Tiziana Di Matteo addresses our understanding of black hole formation at cosmic dawn, the emergence of the first quasars, black hole merging and structure formation. The topics covered by the 48th Saas-Fee Course provide a broad overview of the importance of black holes in modern astrophysics.

Black holes (Astronomy) --- Frozen stars --- Compact objects (Astronomy) --- Gravitational collapse --- Stars --- Astrophysics. --- Cosmology. --- Astrophysics and Astroparticles. --- Astronomy --- Deism --- Metaphysics --- Astronomical physics --- Cosmic physics --- Physics