Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979gregr..11...45w&link_type=abstract
General Relativity and Gravitation, vol. 11, Sept. 1979, p. 45-58. Research supported by the Deutsche Forschungsgemeinschaft.
Astronomy and Astrophysics
Astrophysics
3
Astrophysics, Black Holes (Astronomy), Entropy, Relativity, White Holes (Astronomy)
Scientific paper
Kundt's (1976) criticisms of the thermodynamic analogy of Bekenstein and Hawking that suggests that black holes possess an entropy (S) proportional to the area of their outer event horizons are considered; in particular, that S is too large, grows during collapse, lacks a finite spread outside the confines of the horizon, is not a proper state function, and that in some space-times, there exists null hypersurfaces closely analogous to future event horizons but without any meaningful entropy. Following Kundt, the problematic horizon entropy is replaced by an integration of the 4-vector density of material entropy with respect to a spacelike 3-surface (Sigma) cutting through the hole; however, the total material entropy within the hole is not measurable from outside. It is suggested that the entropies of Bekenstein-Hawking and of Kundt are both valid, but in separate, nonoverlapping sets of circumstances: disjoint regions of a black hole (exterior versus interior), or different space-times (black hole versus white hole, corresponding regions).
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