A non-singular black hole model as a possible end-product of gravitational collapse

Details A non-singular black hole model as a possible end-product of gravitational collapse A non-singular black hole model as a possible end-product of gravitational collapse

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aipc..848..713k&link_type=abstract

RECENT ADVANCES IN ASTRONOMY AND ASTROPHYSICS: 7th International Conference of the Hellenic Astronomical Society. AIP Conferenc

Astronomy and Astrophysics

Astrophysics

Classical Black Holes, Black Holes, Wave Generation And Sources

Scientific paper

We present a non-singular black hole model as a possible end-product of gravitational collapse and whose metric is an exact solution of the Einstein field equations. In this model, the matter fields of the final equilibrium configuration are concentrated in the vicinity of the origin of the radial coordinate r. This configuration comprises a core with an equation of state that approaches p = -ρ as r --> 0, surrounded by matter fields with sound speed bounded by c. In the direction of decreasing r, the pressure p(ρ) is a point-wise well-behaved functional of a monotonically increasing density function ρ(r) and obeys an equation of state that smoothly matches the vacuum-like behavior near r = 0 to a polytrope at larger r (lower ρ) values. The space outside the matter fields is that of the Schwarzschild vacuum, while it becomes de Sitter as r --> 0. In the intervening space matter transits smoothly between normal matter (i.e with P(r) > 0) and a ``quintessence-like'' fluid state (i.e one with -1 < w(r) = P(r)/ρ(r) < 0). We estimate the fraction of matter with a conventional equation of state to be ~= 0.34.

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