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This article reviews the biography of the Swiss mathematician Marcel Grossmann (1878-1936) and his contributions to the emergence of the general theory of relativity. The first part is his biography, while the second part reviews his…

History and Philosophy of Physics · Physics 2014-04-22 Tilman Sauer

Albert Einstein's journey to formulate the theory of general relativity involved significant shifts in his approach to gravitational field equations. Starting in 1912, he collaborated with Marcel Grossmann and initially explored broadly…

History and Philosophy of Physics · Physics 2023-11-09 Galina Weinstein

There is a myth that Einstein's discovery of general relativity was due to his following beautiful mathematics to discover new insights about nature. I argue that this is an incorrect reading of the history and that what Einstein did was to…

History and Philosophy of Physics · Physics 2015-12-24 Lee Smolin

This paper discusses Einstein's methodology. 1. Einstein characterized his work as a theory of principle and reasoned that beyond kinematics, the 1905 heuristic relativity principle could offer new connections between non-kinematical…

History and Philosophy of Physics · Physics 2012-09-25 Galina Weinstein

It took eight years after Einstein announced the basic physical ideas behind the relativistic gravity theory before the proper mathematical formulation of general relativity was mastered. The efforts of the greatest physicist and of the…

History and Philosophy of Physics · Physics 2007-05-23 Ivan T. Todorov

Soon after he proposed three classic observational tests for the general theory of relativity, Einstein realised that a consistent description of the universe as a whole provided another important challenge for the theory. In this essay, we…

History and Philosophy of Physics · Physics 2022-01-19 Cormac O'Raifeartaigh

This short exposition starts with a brief discussion of situation before the completion of special relativity (Le Verrier's discovery of the Mercury perihelion advance anomaly, Michelson-Morley experiment, E\"otv\"os experiment, Newcomb's…

History and Philosophy of Physics · Physics 2025-06-24 Wei-Tou Ni

On the basis of his `Z\"urich Notebook' I shall describe a particularly fruitful phase in Einstein's struggle on the way to general relativity. These research notes are an extremely illuminating source for understanding Einstein's main…

History and Philosophy of Physics · Physics 2015-03-30 Norbert Straumann

The first comprehensive overview of the final version of the general theory of relativity was published by Einstein in 1916 after several expositions of preliminary versions and latest revisions of the theory in November 1915. A historical…

History and Philosophy of Physics · Physics 2007-05-23 Tilman Sauer

Einstein's general relativity is the best available theory of gravity. In recent years, spectacular proofs of Einstein's theory have been conducted, which have aroused interest that goes far beyond the narrow circle of specialists. The aim…

Popular Physics · Physics 2024-01-18 Jorge Pinochet

We present a basics of the Einstein General Theory of Relativity. In the first part of this review we derive relations of Riemann geometry which are used in the General Relativity. In the second part we discuss Einstein Equations and some…

General Relativity and Quantum Cosmology · Physics 2020-10-23 S. M. Bilenky

Exactly one hundred years ago, in May 1922, Alexander Friedmann discovered that General Relativity (GR) predicts non-stationary Universe. His equation describing the evolution of the Universe is now named after him. In this paper we briefly…

History and Philosophy of Physics · Physics 2022-06-02 Vladimir O. Soloviev

This year marks the hundredth anniversary of Einstein's 1915 landmark paper "Die Feldgleichungen der Gravitation" in which the field equations of general relativity were correctly formulated for the first time, thus rendering general…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Martin Bucher , Wei-Tou Ni

Einstein established the theory of general relativity and the corresponding field equation in 1915 and its vacuum solutions were obtained by Schwarzschild and Kerr for, respectively, static and rotating black holes, in 1916 and 1963,…

High Energy Astrophysical Phenomena · Physics 2016-09-08 Banibrata Mukhopadhyay

The nature of gravity is fundamental to understand the scaffolding of the Universe and its evolution. Einstein's general theory of relativity has been scrutinized for over ninety five years and shown to describe accurately all phenomena…

General Relativity and Quantum Cosmology · Physics 2011-12-12 Orfeu Bertolami

Gravitational lensing - the deflection of light rays by gravitating matter - has become a major tool in the armoury of the modern cosmologist. Proposed nearly a hundred years ago as a key feature of Einstein's theory of General Relativity,…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-29 Tommaso Treu , Richard S. Ellis

We briefly review a few aspects of the development of differential geometry which may be considered as being influenced by Einstein's general relativity. We focus on how Einstein's quest for a complete geometrization of matter and…

Differential Geometry · Mathematics 2007-05-23 C. Romero , F. Dahia

We demonstrate that Einstein's general relativity theory arises as a special case in the framework of the Poincar\'e gauge theory of gravity under the assumption of a suitable nonminimal coupling of matter to the Riemann-Cartan geometry of…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Yuri N. Obukhov , Friedrich W. Hehl

Einsteins general theory of relativity is one of the most important accomplishments in the history of science. Its experimental verification a century ago is therefore an essential milestone that is worth celebrating in full. We reassess…

History and Philosophy of Physics · Physics 2019-07-31 Luís C. B. Crispino , Daniel Kennefick

It is a little known fact that while he was developing his theory of general relativity, Einstein's initial idea was a variable speed of light theory. Indeed space-time curvature can be mimicked by a speed of light $c(r)$ that depends on…

General Physics · Physics 2015-03-31 Alexander Unzicker , Jan Preuss
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