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arXiv:gr-qc/0102084v23Jul2001 RECONSIDERING SCHWARZSCHILD'S ORIGINAL
 

Summary: arXiv:gr-qc/0102084v23Jul2001
RECONSIDERING SCHWARZSCHILD'S ORIGINAL
SOLUTION
SALVATORE ANTOCI AND DIERCK EKKEHARD LIEBSCHER
Abstract. We analyse the Schwarzschild solution in the context of
the historical development of its present use, and explain the invariant
definition of the Schwarzschild's radius as a singular surface, that can
be applied to the Kerr-Newman solution too.
1. Introduction: Schwarzschild's solution and the
"Schwarzschild" solution
Nowadays simply talking about Schwarzschild's solution requires a pre-
liminary reassessment of the historical record as conditio sine qua non for
avoiding any misunderstanding. In fact, the present-day reader must be
firstly made aware of this seemingly peculiar circumstance: Schwarzschild's
spherically symmetric, static solution [1] to the field equations of the ver-
sion of the theory proposed by Einstein [2] at the beginning of November
1915 is different from the "Schwarzschild" solution that is quoted in all the
textbooks and in all the research papers. The latter, that will be here al-
ways mentioned with quotation marks, was found by Droste, Hilbert and
Weyl, who worked instead [3], [4], [5] by starting from the last version [6]

  

Source: Antoci, Salvatore - Dipartimento di Fisica, Universita' di Pavia

 

Collections: Physics