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Note on Signature Change and Colombeau Theory
Tevian Dray, George Ellis, Charles Hellaby
Recent work alludes to various `controversies' associated with signature change in general relativity. As we have argued previously, these are in fact disagreements about the (ofte…
Holonomy in the Schwarzschild-Droste Geometry
Tony Rothman, George F. R. Ellis, Jeff Murugan
Parallel transport of vectors in curved spacetimes generally results in a deficit angle between the directions of the initial and final vectors. We examine such holonomy in the Sch…
On the propagation of jump discontinuities in relativistic cosmology
Henk van Elst, George F R Ellis, Bernd G Schmidt
A recent dynamical formulation at derivative level $\ptl^{3}g$ for fluid spacetime geometries , that employs the concept of evolution systems in first…
The geometry of photon surfaces
Clarissa-Marie Claudel, K. S. Virbhadra, G. F. R. Ellis
The photon sphere concept in Schwarzschild space-time is generalized to a definition of a photon surface in an arbitrary space-time. A photon sphere is then defined as an SO(3)xR-i…