Mathematics – Logic
Scientific paper
Oct 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998acpsl..48..535s&link_type=abstract
Acta Phys. Slovaca, Vol. 48, No. 5, p. 535 - 548
Mathematics
Logic
1
Black Holes: Space-Time
Scientific paper
Black holes in spacetimes with a negative vacuum energy, i.e., with an attractive cosmological constant Λ < 0, are described by the Kerr-Newman-anti-de Sitter geometry. It is proposed that if the specific angular momentum of a black hole and the attractive cosmological constant are combined appropriately, the spacetime can be considered as consisting of causally disconnected regions with opposite signature of the metric tensor, corresponding to opposite character of the geometry outside the black-hole horizons and between the horizons, respectively. No photons and test particles can cross a surface of degeneracy at a constant latitudinal coordinate, which separates the causally disconnected regions. Differences of the properties of the motion of test particles in the separated regions are discussed. They are given by the different normalization condition of the equations of motion, i.e., motion in the region with the opposite signature is of "tachyonic" nature. It is demonstrated in the simplest case of uncharged particles moving along the axis of symmetry.
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