A multiply-connected space-time, black holes, and tachyons

Details A multiply-connected space-time, black holes, and tachyons A multiply-connected space-time, black holes, and tachyons

Jan 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979nciml..24..115r&link_type=abstract

Nuovo Cimento, Lettere, Serie 2, vol. 24, Jan. 27, 1979, p. 115-119. Research supported by the Istituto Nazionale di Fisica Nuc

Astronomy and Astrophysics

Astronomy

4

Black Holes (Astronomy), Celestial Geodesy, Relativistic Theory, Space-Time Functions, Tachyons, Schwarzschild Metric, Topology

Scientific paper

In order to accommodate peculiar varieties (e.g., event horizons of black holes) where geodesics can change their type, a reformulation of the axioms of general relativity is carried out in such a way as to allow for the presence in space-time of regions with different topologies. Space-time is assumed to consist of disjoint smooth time-orientable four-dimensional Riemannian manifolds with their own topologies. There exist transition surfaces of codimension 1, each consisting of a set of quasi-catastrophic points where there is an abrupt change of topology. Einstein's equations, Gauss' theorem and Birkhoff's theorem hold for each region, but the laws of physics within a patch look different if observed from another patch. Since changes in topology are admitted, one does not need different coordinates in order to extend, for example, the Schwarzschild metric so that it is no longer singular at r = 2M. One can freely look for coordinates which are physically suitable and in terms of which the results have a direct physical meaning.

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