Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..apri12011m&link_type=abstract
American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As
Astronomy and Astrophysics
Astrophysics
Scientific paper
A new, static, spherically symmetric solution to Einstein's equations is described, that presents a very different alternative from classical black holes for the endpoint of gravitational collapse. The solution is characterized by an interior de Sitter region (p= -rho) of gravitational vacuum condensate with an exterior Schwarzschild geometry of arbitrary total mass M. These are separated by a very thin shell with a microscopic but finite proper thickness of ultracold matter with the eq. of state p= rho, replacing both the Schwarzschild and de Sitter classical horizons. These extreme eqs. of state arise naturally as the allowed phases in the effective theory of quantum gravity, and the classical event horizon is replaced by a phase boundary in the quantum theory. The new solution has no singularities, no event horizons, and a globally defined timelike Killing field. Its entropy is maximized under small fluctuations and is given by the standard hydrodynamic entropy of the thin shell, which is of order M, instead of the Bekenstein-Hawking entropy formula (which is of order M^2). Hence unlike black holes, the new solution is thermodynamically stable and suffers from no information paradox. The formation of such a cold (1 μ K) gravitational condensate stellar remnant very likely would require a violent collapse process with an explosive output of energy. The formation and excitation of such remnants could provide more efficient central engines than classical black holes for some very high energy sources observed in the universe.
Mazur Pawel O.
Mottola Emil
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