General Relativity and Relativistic Cosmology

2020 ◽  
pp. 257-366
Author(s):  
Wladimir-Georges Boskoff ◽  
Salvatore Capozziello
Keyword(s):  
General Relativity ◽  
Relativistic Cosmology

scholarly journals Some remarks on mathematical general relativity theory

Filomat ◽  
2015 ◽  
Vol 29 (10) ◽  
pp. 2403-2410
Author(s):  
Graham Hall
Keyword(s):  
General Relativity ◽  
Special Relativity ◽  
Euclidean Geometry ◽  
Relativity Theory ◽  
Relativistic Cosmology ◽  
General Relativity Theory ◽  
Newtonian Theory

This paper gives a brief survey of the development of general relativity theory starting from Newtonian theory and Euclidean geometry and proceeding through to special relativity and finally to general relativity and relativistic cosmology.

The Genesis of Relativistic Cosmology

2017 ◽  
Author(s):  
Hanoch Gutfreund ◽  
Jürgen Renn
Keyword(s):  
General Relativity ◽  
Momentum Conservation ◽  
Cosmological Models ◽  
Relativistic Cosmology ◽  
De Sitter ◽  
Mach's Principle ◽  
Felix Klein ◽  
Hermann Weyl ◽  
Energy Momentum Conservation

This chapter highlights the background for the emergence of relativistic cosmology. A specific interpretational issue, which is treated in this context, is the role of Ernst Mach's principle and the first exploration of the cosmological consequences of general relativity. Here Einstein's main interlocutor was the Dutch astronomer Willem de Sitter. But during the years 1916 to 1918, Einstein also exchanged letters with the mathematicians Hermann Weyl and Felix Klein. This correspondence has been referred to as the Einstein–de Sitter–Weyl–Klein debate. This debate not only focused on specific cosmological models but also helped to clarify the meaning of such fundamental issues as coordinates and energy-momentum conservation in the theory. This chapter also discusses the implications of Hubble's discovery.

scholarly journals Relativistic Astrophysics in Uzbekistan

2018 ◽  
Vol 13 (S349) ◽  
pp. 276-282
Author(s):  
Bobomurat Ahmedov
Keyword(s):  
General Relativity ◽  
Central Asia ◽  
Scientific Community ◽  
Relativistic Cosmology ◽  
Relativistic Astrophysics ◽  
Great Success ◽  
International Scientific Community

AbstractDuring the last twenty years, due to the extensive help and assistance of the international scientific community, there has been a great success in the development and establishment of new well-functioning and competitive scientific groups specialized in general relativity and relativistic astrophysics in Uzbekistan (Tashkent), Kazakhstan (Astana and Almaty), Kyrgyzstan (Bishkek) and great achievements have been made on the study in Central Asia in relativistic cosmology and astrophysics of compact gravitational objects.

An Astronomical Road to General Relativity: The Continuity between Classical and Relativistic Cosmology in the Work of Karl Schwarzschild

2005 ◽  
Vol 18 (3) ◽  
pp. 451-478 ◽  
Author(s):  
Matthias Schemmel
Keyword(s):  
General Relativity ◽  
Relativistic Cosmology ◽  
Inertial Frames

In this article it is argued that a continuity exists between Karl Schwarzschild's work on foundational problems on the borderline of physics and astronomy and his later occupation with general relativity. Based on an analysis of Schwarzschild's published works as well as formerly neglected unpublished notes it is shown that, long before the rise of general relativity, Schwarzschild was concerned with problems that later became associated with that theory. In particular he considered non-Euclidean cosmologies, linked the phenomena of gravitation and inertia to the problem of the precession of Mercury's perihelion, and entertained the possibility of inertial frames rotating with respect to one another. It is argued that these earlier considerations, which reflect his interdisciplinary outlook on the foundations of the exact sciences, enabled Schwarzschild to recognize the significance of general relativity for astronomy, astrophysics, and cosmology earlier than most of his collegues and shaped his contributions to this theory.

General Relativity

2006 ◽  
Author(s):  
M. P. Hobson ◽  
G. P. Efstathiou ◽  
A. N. Lasenby
Keyword(s):  
General Relativity
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