Theory of Special Relativity by Nadia L. Zakamska

The generic model of General Relativity

This note contains below topics, The generic model of GR, The background mathematical space, The observers Kinematics, The propagation and the constraint equations, The 1 3 decomposition of the Bianchi identity, Propagation of the kinematic quantities along a collineation vector, The 1 3 decomposition of the Lie derivative LXa b wrt Xa, The matter Dynamics, The role of observers in GR, The physical role of the propagation and the constraint equations, The dynamic role of collineations, Example The Bianchi model, The string fluid, The 1 1 2 decomposition wrt a double congruence, Lie derivative and the 1 1 2 decomposition, The Lie derivative of Rab wrt a collineation a.

Author(s): Michael Tsamparlis

55 Pages

Notes on Relativity and Cosmology

This book explains the following topics Space, Time, and Newtonian Physics, Maxwell, E and M, and the Ether, Einstein and Inertial Frames, Minkowskian Geometry, Accelerating Reference Frames, Dynamics, Relativity and the Gravitational Field, General Relativity and Curved Spacetime, Black Hole, Cosmology.

Author(s): Donald Marolf

NA Pages

Theory of Special Relativity by Nadia L Zakamska

This note covers the following topics: Principle of Relativity, Lorentz transform, Simultaneous events, causally connected events, Addition of velocities, 4-vectors: velocity, energy-momentum, Energy-momentum of photon, Doppler effect, aberration, Relativistic dynamics, Electromagnetic fields in different frames.

Author(s): Nadia L. Zakamska

101 Pages

Einsteins theory of relativity

The reader is assumed to have but little mathematical knowledge. Topics covered includes: Geometry and Cosmology, The Fundamental Laws of Classical Mechanics, The Newtonian World-System, The Fundamental Laws of Optics, The Fundamental Laws of Electrodynamics and Einstein's Special Principle of Relativity.

Author(s): Max Born, Henry L. Brose

322 Pages

Special Relativity

This a textbook on special relativity, aimed at undergraduates who have already completed a freshman survey course. The treatment of electromagnetism assumes previous exposure to Maxwell's equations in integral form, but no knowledge of vector calculus. Topics covered includes:  Spacetime, Foundations, Kinematics, Dynamics, Inertia, Waves, Coordinates, Rotation, Flux and Electromagnetism.

Author(s): Benjamin Crowell

236 Pages

Lecture Notes on General Relativity

The aim of these lecture notes is to provide a reasonably selfcontained introduction to General Relativity, including a variety of applications of the theory, ranging from the solar system to gravitational waves, black holes and cosmology. This book covers the following topics Physics in a Gravitational Field and General Covariance, General Relativity and Geometry, Dynamics of the Gravitational Field, General Relativity and the Solar System, Black Holes, Cosmology, Varia, KaluzaKlein Theory.

Author(s): Matthias Blau

938 Pages

Lecture Notes on General Relativity by Columbia University

This book covers the following topics: Special Relativity, Lorentzian Geometry, Introduction to General Relativity, Null Structure Equations, Applications to Null Hypersurfaces, Christodoulou’s Memory Effect, Black Holes, Lagrangian Theories and the Variational Principle, Hyperbolic Equations and Wave Propagation on Black Holes.

Author(s): Columbia University

139 Pages

The Adventure of Physics Vol II Relativity

This book is written for anybody who is curious about nature and motion. Curiosity about how people, animals, things, images and empty space move leads to many adventures. This volume presents the best of them in the domains of fast, intense and distant motion relativity and cosmology.

Author(s): Christoph Schiller

356 Pages