Black-hole decay and topological stability in quantum gravity

Details Black-hole decay and topological stability in quantum gravity Black-hole decay and topological stability in quantum gravity

Feb 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988stin...9015017r&link_type=abstract

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Astronomy and Astrophysics

Astronomy

Black Holes (Astronomy), Gravitation, Mass, Relativity, Stability, Topology

Scientific paper

In the context of Quantum Gravity, the evolution of Schwarzschild black-holes is studied. The superspace of the theory is restricted to a class of geometries that contains the Schwarzschild solution for different masses as well as other geometries with different topologies. It is shown that, black-holes are topologically stable under quantum fluctuations but unstable under quantum processes of emission and absorption of gravitons. It is found that, the probability of emission behaves as exp (- (alpha) Mf - Mi), where Mi and Mf are the masses associated to the initial and final states, respectively and (alpha) is a positive constant of the order of 1. As the black-hole looses mass it evolves towards a state corresponding to a black-hole of very small mass that cannot be distinguished from a pure graviton state.

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