Globally regular solutions of a Schwarzschild black hole and a Reissner-Nordstrom black hole

Details Globally regular solutions of a Schwarzschild black hole and a Reissner-Nordstrom black hole Globally regular solutions of a Schwarzschild black hole and a Reissner-Nordstrom black hole

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..739s&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 17, Aug. 1985, p. 739-746.

Astronomy and Astrophysics

Astronomy

5

Black Holes (Astronomy), Reissner-Nordstrom Solution, Relativity, Schwarzschild Metric, Charged Particles, Equations Of State, Flux Density, Mesons, Space-Time Functions, Strong Interactions (Field Theory)

Scientific paper

A new physical concept about globally regular solutions is suggested. The globally regular solutions corresponding to the Schwarzchild black hole and the Reissner-Nordstrom black hole are examined. The space-time metric is singularity free except for trivial coordinate singularities. Features of the metric bear some analogy with the strong interaction. The equations of state of the matter inside the Schwarzschild and the Reissner-Nordstrom black holes have the form P = -rho, where rho is the density of the matter and is independent of the carried charge; since this equation of state describes an assembly of mesons being in the relativistic dense state, does this imply that the black hole is filled with mesons? The concept of globally regular solutions does not satisfy the strong energy condition given by Hawking and Ellis (1973) and so the singularity-free behavior at r = 0 does not violate Penrose's pioneering theorem on singularities (1965). It is thought that the concept of globally regular solutions suggested will be essential to describe the geometrical and physical properties of a body and a black hole.

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