S G Harris and T Dray 1990 Class. Quantum Grav. 7 149 doi:10.1088/0264-9381/7/2/009
S G Harris and T Dray
Show affiliationsThe authors study a smooth flat two-dimensional spacetime whose spacelike sections change topology; the problematic 'point of topology change' is excluded from the manifold. The causal boundary construction inserts this point back into the manifold. The result is again a smooth manifold, but neither the Lorentz metric nor the Levi-Civita connection extend to the new point; in fact, the causal structure at the new point is not that of a Lorentz manifold. All these results continue to hold for all metrics sufficiently close to the flat metric.
04.20.Gz Spacetime topology, causal structure, spinor structure
Issue 2 (February 1990)
S G Harris and T Dray 1990 Class. Quantum Grav. 7 149
José Gaite JCAP11(2009)004
Varun Sahni 2002 Class. Quantum Grav. 19 3435
Brett Bolen et al 2004 Class. Quantum Grav. 21 4087
Samir D Mathur 2009 Class. Quantum Grav. 26 224001
M Mohseni et al 2001 Class. Quantum Grav. 18 3007
Karim A Malik and David Wands 2004 Class. Quantum Grav. 21 L65
Thomas Buchert and Mauro Carfora 2002 Class. Quantum Grav. 19 6109
T Dray and M Streubel 1984 Class. Quantum Grav. 1 15
G Date 2003 Class. Quantum Grav. 20 303