On the gravitational field of a sphere of incompressible fluid according to Einstein's theory
K. Schwarzschild (translation by S. Antoci)
TL;DR
This paper discusses the gravitational field of a sphere of incompressible fluid within Einstein's theory of general relativity, providing insights into the spacetime structure around such objects.
Contribution
It presents an analysis of the gravitational field of an incompressible fluid sphere based on Einstein's equations, extending classical results to relativistic contexts.
Findings
Derived the metric for an incompressible fluid sphere
Analyzed the effects of relativistic gravity on the sphere's structure
Provided solutions consistent with Einstein's field equations
Abstract
Communication by K. Schwarzschild to the Prussian Academy of Sciences, dealing with the gravitational field of a sphere of incompressible fluid.
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Taxonomy
TopicsGeophysics and Gravity Measurements · Relativity and Gravitational Theory · Cosmology and Gravitation Theories