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The Schwarzschild solution was the first exact solution to Einstein's 1915 field equations, found by Karl Schwarzschild as early as 1916. And yet, physicists, mathematicians and philosophers have struggled for decades with the…

物理学史与哲学 · 物理学 2025-08-04 Dennis Lehmkuhl

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,…

高能天体物理现象 · 物理学 2016-09-08 Banibrata Mukhopadhyay

Although implicit in the discovery of the Schwarzschild solution 40 years earlier, the issues raised by the theory of what are now known as black holes were so unsettling to physicists of Einstein's generation that the subject remained in a…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Brandon Carter

The modern notion of a black hole singularity is considered with reference to the Schwarzschild solution to Einstein's field equations of general relativity. A brief derivation of both the original and the modern line elements is given. The…

综合物理 · 物理学 2008-06-09 M. Anyon , J. Dunning-Davies

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…

广义相对论与量子宇宙学 · 物理学 2016-02-03 Martin Bucher , Wei-Tou Ni

On November 18, 1915 Einstein reported to the Prussian Academy that the perihelion motion of Mercury is explained by his new General Theory of Relativity: Einstein found approximate solutions to his November 11, 1915 field equations.…

物理学史与哲学 · 物理学 2014-12-02 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

Now that an English translation of Schwarzschild's original work exists, that work has become accessible to more people. Here his original solution to the Einstein field equations is examined and it is noted that it does not contain the…

综合物理 · 物理学 2007-05-23 J. Dunning-Davies

We present a new solution in Einstein's General Relativity representing a Schwarzschild black hole immersed in a rotating universe. Such a solution is constructed analytically by means of the last unexplored Lie point symmetry of the Ernst…

广义相对论与量子宇宙学 · 物理学 2024-02-08 Marco Astorino , Riccardo Martelli , Adriano Viganò

The theory of General Relativity has successfully passed a large number of observational tests without requiring any adjustment from its original version proposed by Einstein in 1915. The past 8 years have seen significant advancements in…

广义相对论与量子宇宙学 · 物理学 2024-10-11 Cosimo Bambi

This paper provides a brief review of the history of our understanding and knowledge of black holes. Starting with early speculations on ``dark stars'' I discuss the Schwarzschild "black hole" solution to Einstein's field equations and the…

天体物理学 · 物理学 2009-11-11 Thomas W. Baumgarte

Black holes are extreme spacetime deformations where even light is imprisoned. There is an extensive astrophysical evidence for the real and abundant existence of these prisons of matter and light in the Universe. Mathematically, black…

物理学史与哲学 · 物理学 2019-12-16 Carlos A. R. Herdeiro , José P. S. Lemos

A century ago, Einstein formulated his elegant and elaborate theory of General Relativity, which has so far withstood a multitude of empirical tests with remarkable success. Notwithstanding the triumphs of Einstein's theory, the tenacious…

广义相对论与量子宇宙学 · 物理学 2019-05-01 Lavinia Heisenberg

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…

广义相对论与量子宇宙学 · 物理学 2011-12-12 Orfeu Bertolami

This paper examines Schwarzschild's key contributions to general relativity through his two papers. It focuses on his method for developing exterior and interior solutions. The study emphasizes Schwarzschild's ingenious methods and the…

物理学史与哲学 · 物理学 2023-12-05 Galina Weinstein

More than a century ago, Albert Einstein presented his general theory of gravitation (GR) to the Prussian Academy of Sciences. One of the predictions of the theory is that not only particles and objects with mass, but also the quanta of…

星系天体物理 · 物理学 2024-04-09 Reinhard Genzel , Frank Eisenhauer , Stefan Gillessen

Einstein's theory of General Relativity was proposed over 100 years ago and has successfully passed a large number of observational tests in weak gravitational fields. On the contrary, the strong field regime is still largely unexplored.…

广义相对论与量子宇宙学 · 物理学 2021-10-29 Cosimo Bambi

Was Einstein wrong? This paper provides a detailed technical review of Einstein's special and general relativity from an astrophysical perspective, including the historical development of the theories, experimental tests, modern…

天体物理学 · 物理学 2009-05-11 Flora Lopis , Max Tegmark

Einstein's Special Theory of Relativity was proposed a little over a hundred years back. It remained a bedrock of twentieth century physics right up to Quantum Field Theory. However, the failure over several decades to provide a unified…

综合物理 · 物理学 2007-05-23 B. G. Sidharth

Einstein's general theory of relativity poses many problems to the quantum theory of point particle fields. Among them is the fate of a massive point particle. Since its rest mass exists entirely within its Schwarzschild radius, in the…

高能物理 - 唯象学 · 物理学 2007-05-23 B. F. L. Ward
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