Einstein in Matrix Form

Exact Derivation of the Theory of Special and General Relativity without Tensors

  • Günter Ludyk

Part of the Graduate Texts in Physics book series (GTP)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Günter Ludyk
    Pages 1-50
  3. Günter Ludyk
    Pages 51-107
  4. Günter Ludyk
    Pages 109-143
  5. Back Matter
    Pages 145-194

About this book


This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without too much new mathematics. The fundamental equations of Einsteins theory of Special and General Relativity are derived using matrix calculus, without the help of tensors. This feature makes the book special and a valuable tool for scientists and engineers with no experience in the field of tensor calculus. In part I the foundations of Special Relativity are developed, part II describes the structure and principle of General Relativity. Part III explains the Schwarzschild solution of spherical body gravity and examines the "Black Hole" phenomenon. Any necessary mathematical tools are user friendly provided, either directly in the text or in the appendices.


Black Holes Galilei Transformation Lorentz Transformation Matrix Calculus Motion in a Gravity Field Relativistic Electrodynamics Riemannian Geometry Schwarzschild Solution Theory of General Relativity Theory of Special Relativity

Authors and affiliations

  • Günter Ludyk
    • 1
  1. 1.Physics and Electrical EngineeringUniversity of BremenBremenGermany

Bibliographic information