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1. The General Theory of Relativity and Its Tests in the Solar System

   The general theory of relativity (GR) has had a number of experimental and theoretical triumphs, from very accurate tests in the solar system and...

   Ignazio Ciufolini in Recent Progress on Gravity Tests

   Chapter 2024
   

2. Tests of General Relativity Using Black Hole X-ray Data

   The theory of General Relativity has successfully passed a large number of observational tests. The theory has been extensively tested in the...

   Dimitry Ayzenberg, Cosimo Bambi in Handbook of X-ray and Gamma-ray Astrophysics

   Reference work entry 2024
   

3. The Special Theory of Relativity and its Empirical Foundations

   Einstein’s Special Theory of Relativity, with the postulated invariance of the relative velocity of light in all inertial reference frames,...

   C. S. Unnikrishnan in New Relativity in the Gravitational Universe

   Chapter 2022
   

4. What is It Like to be a Relativistic GRW Theory? Or: Quantum Mechanics and Relativity, Still in Conflict After All These Years

   The violation of Bell’s inequality has shown that quantum theory and relativity are in tension: reality is nonlocal. Nonetheless, many have argued...

   Valia Allori in Foundations of Physics

   Article 19 July 2022

5. Equations of Motion of a Space Body at a Variable Velocity of Discharging Combustion Products in the Prerequisites of the Special Theory of Relativity

   Abstract

   A controlled (variable) rate of mass discharge generated by the mechanism of using the internal energy is postulated for a space body with...

   U. N. Zakirov in Doklady Physics

   Article 01 December 2022

6. Quantum Mechanics and Relativity

   DiracDirac, Paul Adrien Maurice achieved the unification of quantum mechanicsQuantum mechanics and special relativity. He obtained an equation which...

   Shahen Hacyan in The Mathematical Representation of Physical Reality

   Chapter 2023
   

7. Chapter 10 Hamilton’s Principle and the General Theory of Relativity

   H. A. LORENTZ and D. HILBERT have recently succeeded in presenting the general theory of relativity in a particularly clear form by deriving its...

   Michel Janssen, Jürgen Renn in How Einstein Found His Field Equations

   Chapter 2022
   

8. The Special Theory of Relativity A Mathematical Approach

   This textbook expounds the major topics in the special theory of relativity. It provides a detailed examination of the mathematical foundation of the...

   Farook Rahaman in UNITEXT

   Textbook 2022
   

9. Affine Geometry and Relativity

   We present the basic concepts of space and time, the Galilean and pseudo-Euclidean geometry. We use an elementary geometric framework of affine...

   Božidar Jovanović in Foundations of Physics

   Article 05 June 2023
   

10. Overview of Special Relativity

    In this chapter we give a short review of Einstein’s special theory of relativity.

    Sanjeev Dhurandhar, Sanjit Mitra in General Relativity and Gravitational Waves

    Chapter 2022
    

11. Cosmic Relativity—The Theory and Its Primary Fundamental Results

    In this chapter, I systematically develop the primary fundamental results of the cosmic gravitational paradigm of Cosmic Relativity. In this theory,...

    C. S. Unnikrishnan in New Relativity in the Gravitational Universe

    Chapter 2022
    

12. Einstein’s Solution: The Special Theory of Relativity (SR)

    As an explanation for the unexpected result of a non-identifiable special inertial frame in the Michelson-Morley experiment, we discussed Einstein’s...

    Thomas Strohm in Special Relativity for the Enthusiast

    Chapter 2023
    

13. Special Theory of Relativity

    Before publishing his General Theory of Relativity (GTR), Albert Einstein (1879–1950) published in 1905 a paper about the Special Theory of...

    Meinhard T. Schobeiri in Tensor Analysis for Engineers and Physicists - With Application to Continuum Mechanics, Turbulence, and Einstein’s Special and General Theory of Relativity

    Chapter 2021
    

14. Relativity

    After a brief introduction to special relativity, we derive the Klein-Gordon equation, Weyl equation, and Dirac equation as relativistic Schrödinger...

    Roderich Tumulka in Foundations of Quantum Mechanics

    Chapter 2022
    

15. ANALOGY BETWEEN THE EQUATIONS OF ELASTICITY AND THE GENERAL THEORY OF RELATIVITY

    Abstract—

    The article presents a new interpretation of the basic geometric concept of general theory of relativity, according to which gravity is...

    V. V. Vasiliev, L. V. Fedorov in Mechanics of Solids

    Article 01 May 2021

16. Poincaré, Einstein and the Discovery of Special Relativity An End to the Controversy

    1905 is probably the best-known year in physics, since it was the year of the discovery of the special theory of relativity. For decades,...

    Jean-Marc Ginoux in History of Physics

    Book 2024
    

17. Renormalization of Very Special Relativity gauge theories

    Mandelstam-Leibbrandt (ML) regularization of Very Special Relativity (VSR) amplitudes in momentum space depends on two fixed null vectors n _μ , ...

    J. Alfaro in Journal of High Energy Physics

    Article Open access 01 June 2023

18. Cartan rediscovered in general relativity

    Élie Cartan’s invariant integral formalism is extended to gauge field theory, including general relativity. This constitutes an alternative...

    Donald Salisbury, Jürgen Renn, Kurt Sundermeyer in General Relativity and Gravitation

    Article 30 September 2022
    

19. Special Theory of Relativity

    We begin our discussion of modern physics with the theory of relativity which aims at relating the observations made by observers in relative motion...

    S. H. Patil in Elements of Modern Physics

    Chapter 2021
    

20. Testing General Relativity with Black Hole Quasi-normal Modes

    The purpose of this chapter is to provide an overview of the exciting field of black hole quasi-normal modes and its capabilities to test general...

    Nicola Franchini, Sebastian H. Völkel in Recent Progress on Gravity Tests

    Chapter 2024