
General covariance and the foundations of general relativity: eight decades of dispute
Author:
John D Norton
Language:
 Einstein offered the principle of general covariance as the fundamental physical principle of
his general theory of relativity and as responsible for extending the principle of relativity to
acceler . . . . . 

Space—Time—Matter
Author:
Hermann Weyl
Language:
Einstein’s
Theory of Relativity has advanced our ideas of the
structure of the cosmos a step further. It is as if a wall which sep
arated us from Truth has collapsed. Wider expanses and greater
d . . . . . 
Notes on general relativity
Author:
Matt Visser
Language:
In this condensed onesemester version of the usual differential geometry [Math 464] and general relativity and cosmology [Math 465] sequence of courses I will cover two main
items: Mathematically, . . . . . 
Introduction to Modern Canonical Quantum General Relativity
Author:
Thomas Thiemann
Language:
This is an introduction to the by now fifteen years old research field of canonical quantum general relativity, sometimes called "loop quantum gravity". The term "modern" in the title refers to the fa . . . . . 
Lecture Notes on General Relativity
Author:
Sean M. Carroll
Language:
Contents: Introduction; Special Relativity and Flat Spacetime; Manifolds; Curvature; Gravitation; More Geometry; Weak Fields and Gravitational Radiation; The Schwarzschild Solution and Black Holes; Co . . . . . 
The Theory Of Gravity
Author:
A.A. Logunov
Language:
In the framework of the special theory of relativity, the relativistic theory of gravitation (RTG) is constructed. The energymomentum tensor density of all the matter fields (including gravitational . . . . . 
3 plus 1 Formalism and Bases of Numerical Relativity
Author:
Eric Gourgoulhon
Language:
These lecture notes provide some introduction to the 3 plus 1 formalism of general relativity, which is the foundation of most modern numerical relativity. The text is rather selfcontained, with deta . . . . . 
Introduction to Tensor Calculus for General Relativity
Author:
Edmund Bertschinger
Language:
Introduction to Tensor Calculus for General Relativity 
Advanced general relativity
Author:
Eric Poisson
Language:
 Contents: Fundamentals; Geodesic congruences; hypersurfaces; Lagrangian and Hamiltonian formulations of general relativity; Black holes. 

Yang Mills model of interacting particles in the classical field theory
Author:
Jean Claude Dutailly
Language:
The purpose is to study systems of interacting particles in the General Relativity context, by the principle of least action using purely classical concepts. The particles are described by a state ten . . . . . 
Lecture Notes on General Relativity
Author:
Matthias Blau
Language:
These are lecture notes of an introductionary course on General Relativity done in the years 19982003 in the framework of the ICTP Diploma Course. 
PostNewtonian theory for the common reader
Author:
Eric Poisson
Language:
Contents: Preliminaries; Integration techniques; First postMinkowskian approximation; Second postMinkowskian approximation; Equations of motion; Gravitational waves; Energy radiated and radiation re . . . . . 
Relativite Generale
Author:
Bernrd linet
Language:
Contenu: observateurs, espacestemps et lois de la dynamique; Theorie de Newton de la gravitation; elements de calcul tensoriel en espace affine; elements de geometrie differentielle d'une variete; th . . . . . 
Differential Geometry and Relativity
Author:
Bob Gardner
Language:
Contents: Introduction; Curves; Gauss Curvature; Surfaces in E3; First Fundamental Form; Second Fundamental Form; The Gauss Curvature in Detail; Geodesics; The Curvature Tensor and the Theorema Egregi . . . . . 
Introduction to Tensor Calculus for General Relativity
Author:
Edmund Bertschinger
Language:
Contents: Tensor Calculus; Hamiltonian Dynamics of Particle Motion; Measuring the Metric, and Curvature versus
Acceleration; Symmetry Transformations, the EinsteinHilbert Action, and Gauge
Invarian . . . . . 
Gravitational Wave Tests of General Relativity with GroundBased Detectors and Pulsar Timing Arrays
Author:
Nicolas Yunes, Xavier Siemens
Language:
This review is focused on tests of Einstein's theory of General Relativity with gravitational waves that are detectable by groundbased interferometers and pulsar timing experiments. Einstein's theory . . . . . 
The Confrontation between General Relativity and Experiment
Author:
Clifford M. Will
Language:
The status of experimental tests of general relativity and of theoretical frameworks for analyzing them are reviewed and updated. Einstein's equivalence principle (EEP) is well supported by exper . . . . . 
ChernSimons Modified General Relativity
Author:
Stephon Alexander, Nicolas Yunes
Language:
ChernSimons modified gravity is an effective extension of general relativity that captures leadingorder, gravitational parity violation. Such an effective theory is motivated by anomaly cancelation . . . . . 
Relativité Générale
Author:
Prof. Hervé Kunz
Language:
Contenu:Relativité restreinte; Géométrie différentielle;Relativité générale; Complément mathématique. 
Schwarzschild and Kerr Solutions of Einstein Field Equation  an introduction
Author:
Christian Heinicke (1), Friedrich W. Hehl
Language:
Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(Droste) solution, and into o . . . . . 
LanczosLovelock models of gravity
Author:
T. Padmanabhan, D. Kothawala
Language:
LanczosLovelock models of gravity represent a natural and elegant generalization of Einstein's theory of gravity to higher dimensions. They are characterized by the fact that the field equations only . . . . . 
Topics in Advanced General Relativity
Author:
Sergei Winitzki
Language:
Topics include: Asymptotic structure of spacetime, conformal diagrams, null surfaces, Raychaudhury equation, black holes, the holographic principle, singularity theorems, EinsteinHilbert action, ener . . . . . 
Tests of Lorentz invariance: a 2013 update
Author:
Stefano Liberati
Language:
We present an updated review of Lorentz invariance tests in Effective field theories (EFT) in the matter as well as in the gravity sector. After a general discussion of the role of Lorentz invariance . . . . . 
Introduction to General Relativity
Author:
Gerardus 'T HOOFT
Language:
Contents: Summary of the theory of Special Relativity; The Eotvos experiment and the equivalence principle; The constantly accelerated elevator , Rindler space; Curved Coordinates; The affine connecti . . . . . 
Introduction to General Relativity
Author:
G. 't Hooft
Language:
After explaining the physical motivations we first introduce curved coordinates, then add to this the notion of an affine connection field and only as a later step add to that the metric field. One th . . . . . 
Emergent models for gravity: an overview
Author:
L. Sindoni
Language:
We give a critical overview of various attempts to describe gravity as an emergent phenomenon, starting from examples of condensed matter physics, to arrive to more sophisticated pregeometric models. . . . . . 
Spacetime Geometry and General Relativity
Author:
Neil Lambert
Language:
The plan of the course is as follows. We will first review Special Relativity. It is assumed that you have a reasonable knowledge of this as well as tensors such as those encountered in Electromagnet . . . . . 
All spacetimes beyond Einstein (Obergurgl Lectures)
Author:
Frederic P. Schuller
Language:
Abstract: Which geometries on a smooth manifold (apart from Lorentzian metrics) can serve as a spacetime structure? This question is comprehensively addressed from first principles in eight lectur . . . . . 
MyersPerry black holes
Author:
Robert C. Myers
Language:
Abstract: We review the vacuum solutions of Einstein's equations in higher dimensions known as MyersPerry metrics. In many respects, these solutions describing spinning black holes admit the same . . . . . 
Title: Relativity and Singularities  A Short Introduction for Mathematicians
Author:
Jose Natario
Language:
We summarize the main ideas of General Relativity and Lorentzian geometry, leading to a proof of the simplest of the celebrated HawkingPenrose singularity theorems. The reader is assumed to be famili . . . . . 
Introduction to Modern Canonical Quantum General Relativity
Author:
Thomas Thiemann
Language:
This is an introduction to the by now fifteen years old research field of canonical quantum general relativity, sometimes called \\\"loop quantum gravity\\\". (301 pages) 
Selected solutions of Einstein's field equations
Author:
Jiri Bicak
Language:
Contents: 1) Introduction and a few excursions 2) The Schwarzschild solution 3) The Reissner Nordstrom solution 4) The Kerr metric 5) Black hole uniqueness and multiblack hole solutions 6) Stati . . . . . 
General Relativity
Author:
Benjamin Crowell
Language:
 Contents:1. A geometrical theory of spacetime 2. Geometry of flat spacetime
3. Differential geometry 4. Tensors
5. Curvature 6. Vacuum solutions 7. Symmetries 8. Sources 9. Gravitational waves. 
