Exact solutions to the Klein-Gordon equation in the vicinity of Schwarzschild black holes

Details Exact solutions to the Klein-Gordon equation in the vicinity of Schwarzschild black holes Exact solutions to the Klein-Gordon equation in the vicinity of Schwarzschild black holes

Mar 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012scchg..55..381q&link_type=abstract

Science China Physics, Mechanics and Astronomy, Volume 55, Issue 3, pp.381-384

Astronomy and Astrophysics

Astronomy

General Relativity, Schwarzschild Black Holes, Quantum Effects

Scientific paper

We find exact solutions to the Klein-Gordon equation in the vicinity of Schwarzschild black holes. For particles with a zero angular momentum, the convergence range of the solution is r < 4 M. One of the solutions describes an exponential enhancement of the density of particles in the vicinity of Schwarzschild black holes, which might be the mechanism of gamma-ray bursts.

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