Gravitation

By P. Fleury. SpringerBriefs in Physics, 2019

2,755 citations recorded by the source corpus.

This document gathers the notes of a 30-hour review course on gravitation, which I delivered in January 2018 and January 2019 at the African Institute for Mathematical Sciences of Cameroon (AIMS-Cameroon). Its main goal is to propose a big picture of gravitation, where Einstein's relativity arises as a natural increment to Newton's theory. It is designed for bachelor/master students who do not necessarily have prior knowledge about relativity. The students are nevertheless expected to be familiar with the fundamentals of Newton's mechanics and gravitation, for the first chapter to be a mere reformulation of known concepts. The second chapter then introduces special and general relativity at the same time, while the third chapter explores concrete manifestations of relativistic gravitation, notably gravitational waves and black holes. Each section corresponds, on average, to slightly more than a 2-hour black-board lecture. The numerous exercises must be considered part of the course itself; they are intended to stimulate active reading.

Subfields: Astronomy and Astrophysics

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Citations in the corpus

Challenges and opportunities of gravitational-wave searches at MHz to GHz frequencies (2020, background): “Also, less than 50 years ago, Misner, Thorne and Wheeler, declared that ‘such detectors have so low sensitivity that they are of little experimental interest ’ [336], referring to laser interferometers.”
Calculating black hole shadows: Review of analytical studies (2021, neutral): “[54] for photon motion in Schwarzschild gravity.”
Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, background): “, see [53, 54]) fix zB by relating the discontinuity of the extrinsic curvature across this surface to the stress tensor introduced by the brane, i.”
Boundary conformal field theory and a boundary central charge (2017, background): “We denote E(bry) as the boundary term of the Euler characteristic, which has a ChernSimons-like structure [40, 41].”
Deconfined quantum critical points: symmetries and dualities (2017, background): “The Atiyah-Singer theorem [111,114] tells us that”
Cosmological perturbations (2008, background): “The sign convention is (+++) in the classification of Misner, Thorne, and Wheeler [178].”
Testing the rotational nature of the supermassive object M87* from the circularity and size of its first image (2019, background): “1 In fact, it is easy to show that the radial coordinate of the horizon of a Kerr BH, rh, is given by [39]:”
Advanced Lectures on General Relativity (2018, methodology): “Surface charges in Gravitation 31 1.5.”
Prospects for fundamental physics with LISA (2020, methodology): “Henceforth, we employ geometric units when needed, in which G = 1 = c and we follow the conventions of [7].”
Teleparallel theories of gravity: illuminating a fully invariant approach (2018, background): “Such a connection is sometimes referred to as the Ricci coefficient of rotation [14].”
Exact Kerr-like solution and its shadow in a gravity model with spontaneous Lorentz symmetry breaking (2019, methodology): “So it is frequently alleged that the Kerr metric cannot be derived by elementary methods (by inference from [17], p.”
Nonlocal gravity. Conceptual aspects and cosmological predictions (2017, methodology): “We use units ~ = c = 1, and MTW conventions [35] for the curvature and signature, so in particular ημν = (−,+,+,+).”
Energy conditions in general relativity and quantum field theory (2020, methodology): “For further examples of Lagrangian field theories and their stress tensors we refer to the literature [1, 31].”