Topology anomaly in the spacetime of two Schwarzschild black holes.

Details Topology anomaly in the spacetime of two Schwarzschild black holes. Topology anomaly in the spacetime of two Schwarzschild black holes.

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jbnun..27...28d&link_type=abstract

Journal of Beijing Normal University (Natural Sciences, p. 28 - 32

Physics

Schwarzschild Black Holes: Space-Time, Schwarzschild Black Holes: Singularities

Scientific paper

It is proved using the Gauss-Bonnet theorem that there exists a topology anomaly at the weak singularity on the line connecting the centers of two Schwarzschild black holes, i.e., the Euler characteristic is not an integer on an arbitrary 2-dimensional closed surface enclosing any part of that line. A space-time admitting such anomaly is not a Lorentz manifold. This conclusion is a challenge against Einstein's classical theory of gravitation.

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