Schwarzschild’ 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: Consiglio Nazionale delle Ricerche, Istituto di Cibernetica

Chapter 15 in The Physical and Mathematical Foundations of the Theory of Relativity, 2026, pp 467-489 from Springer

Abstract: Abstract In Chap. 14 we showed that the exterior Schwarzschild solution of Einstein’s equations describes the gravitational field outside a static spherical mass distribution. This solution has the peculiar characteristic that some components of the metric tensor became infinite at the Schwarzschild radius $$r_{s}= 2m$$ r s = 2 m and at $$r=0$$ 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 in a gravitational field were phenomena already acquired.

Date: 2026
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DOI: 10.1007/978-3-032-23179-6_15

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