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We provide an introduction to selected recent advances in the mathematical understanding of Einstein's theory of gravitation.

广义相对论与量子宇宙学 · 物理学 2015-03-14 Piotr T. Chruściel , Gregory J. Galloway , Daniel Pollack

During the First World War, the status of energy conservation in general relativity was one of the most hotly debated questions surrounding Einstein's new theory of gravitation. His approach to this aspect of general relativity differed…

物理学史与哲学 · 物理学 2019-12-09 David E. Rowe

In his 1916 ground-breaking general relativity paper Einstein had imposed a restrictive coordinate condition, his field equations were valid for coordinate systems which are unimodular. Later, Einstein published a paper on gravitational…

物理学史与哲学 · 物理学 2016-02-15 Galina Weinstein

Einstein's genius and penetrating physical intuition led to the general theory of relativity, which incorporates gravity into the geometry of spacetime. However, the theory of general relativity leads to perspectives which go far beyond the…

科普物理 · 物理学 2021-01-05 Joseph Samuel

Einstein's theory of general relativity was proposed over 100 years ago and has successfully passed a large number of observational tests in the weak field regime. However, the strong field regime is largely unexplored, and there are many…

The Equivalence Principle (EP) is not one of the ``universal'' principles of physics (like the Action Principle). It is a heuristic hypothesis which was introduced by Einstein in 1907, and used by him to construct his theory of General…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Thibault Damour

We review here the main contributions of Einstein to the quantum theory. To put them in perspective we first give an account of Physics as it was before him. It is followed by a brief account of the problem of black body radiation which…

量子物理 · 物理学 2007-05-23 Virendra Singh

In the post-Maxwellian era, sensing that the tide of discoveries in electromagnetim indicated a decline of the mechanical view, Einstein replaced Newton's three absolutes -- space, time and mass, with a single one, the velocity of light.…

综合物理 · 物理学 2008-05-14 Abhijit Biswas , Krishnan RS Mani

The first three sections of this article contain a broad brush summary of the profound changes in the notion of time in fundamental physics that were brought about by three revolutions: the foundations of mechanics distilled by Newton in…

物理学史与哲学 · 物理学 2016-02-16 Abhay Ashtekar

Even if Einstein's General Relativity achieved a great success and overcame lots of experimental tests, it also showed some shortcomings and flaws which today advise theorists to ask if it is the definitive theory of gravity. In this…

广义相对论与量子宇宙学 · 物理学 2010-04-21 Christian Corda

This paper completes a three-part study of Einstein's 1905 special relativity by reconstructing the experimental pressures that shaped his thinking from 1895 to June 1905. Following Stachel's historiographical line, I trace Einstein's path…

物理学史与哲学 · 物理学 2025-10-24 Galina Weinstein

In this Einstein Year of Physics it seems appropriate to look at an important aspect of Einstein's work that is often down-played: his contribution to the debate on the interpretation of quantum mechanics. Contrary to popular opinion, Bohr…

量子物理 · 物理学 2009-11-11 H. M. Wiseman

The foundations of Einstein's first (1907) principle of equivalence are explored and their consequences are stated in terms of invariance under generalized Lorentz transformations, first explored by Hessenberg.

物理学史与哲学 · 物理学 2009-04-01 Engelbert L. Schucking

English translation of "Bemerkungen zur allgemein-relativistischen Fassung der Quantentheorie", originally published in {\em Sitzber. kgl.-preu{\ss}. Akad. Wiss. Berlin, Sitzung der phys.-math. Klasse} {\bf XXIV} (1932) 346--354.

物理学史与哲学 · 物理学 2025-03-18 A. E. S. Hartmann

It is known that Einstein's conceptual base for his theory of relativity was the philosophy formulated by Immanuel Kant. Things appear differently to observers in different frames. However, Kant's Ding-an-Sich leads to the existence of the…

物理学史与哲学 · 物理学 2013-01-28 Y. S. Kim

In 1917 Einstein initiated modern cosmology by postulating, based on general relativity, a homogeneous, static, spatially curved universe. To counteract gravitational contraction he introduced the cosmological constant. In 1922 Alexander…

物理学史与哲学 · 物理学 2014-03-25 Harry Nussbaumer

In May of 1935, Einstein published with two co-authors the famous EPR-paper about entangled particles, which questioned the completeness of Quantum Mechanics by means of a gedankenexperiment. Only one month later, he published a work that…

物理学史与哲学 · 物理学 2017-05-31 Gerd Christian Krizek

In 1936, Albert Einstein wrote a brief article where he suggested the possibility that a massive object acted as a lens, amplifying the brightness of a star. As time went by, this phenomenon, known as gravitational lensing, has become a…

科普物理 · 物理学 2018-08-01 Jorge Pinochet , Michael Van Sint Jan

The power-point presentation \cite{ppt} provided herein shows exactly why Einstein's field equations of his general relativity are based on an illogical approach to representing the observable world. Einstein had, in fact, discarded these…

综合物理 · 物理学 2007-05-23 Sanjay M Wagh

From an astronomical and relativistic point of view, the Great War began with the August, 1914 capture and imprisonment of the members of a German eclipse expedition that had gone to the Crimea to look, at the request of Einstein, for…

物理学史与哲学 · 物理学 2017-11-29 Virginia Trimble