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Schwarzschild’s Solution and Black Holes

Antonio Romano () and Mario Mango Furnari
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Antonio Romano: Università degli Studi di Napoli Federico II, Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”
Mario Mango Furnari: Istituto di Cibernetica

Chapter Chapter 15 in The Physical and Mathematical Foundations of the Theory of Relativity, 2019, pp 409-429 from Springer

Abstract: Abstract In Chap. 14 we showed that the exterior Schwarzschild solution of Einstein’s equation describes the gravitational field outside a static spherical mass with constant mass density. This solution has the peculiar characteristic that some components of the metric tensor became infinite at the Schwarzschild radius $$r_{s}=2m$$ and at $$r=0$$. The nature and meaning of this behavior was not quite understood at the time of its discovery (1916), although the bending of light and the redshift of clocks in a gravitational field were phenomena already acquired.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-27237-1_15

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DOI: 10.1007/978-3-030-27237-1_15

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