DSpace
 

RRI Digital Repository >
07. Theoretical Physics >
Research Papers (TP) >

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4550

Title: Causal continuity in degenerate spacetimes
Authors: Borde, A.
Dowker, H.F.
Garcia, R.S.
Sorkin, Rafael D.
Surya, Sumati
Issue Date: Nov-1999
Publisher: Institute of Physics
Citation: Classical and Quantum Gravity, 1999, Vol.16, Issue 11, p 3457-3481
Abstract: A change of spatial topology in a causal, compact spacetime cannot occur when the metric is globally Lorentzian. On any cobordism manifold, however, one can construct from a Morse function f and an auxiliary Riemannian metric hµicons/Journals/Common/nu" ALT="nu" ALIGN="TOP"/> a causal metric gµicons/Journals/Common/nu" ALT="nu" ALIGN="TOP"/> which is Lorentzian almost everywhere except that it degenerates to zero at each critical point of f. We investigate causal structure in the neighbourhood of such a degeneracy, when the auxiliary Riemannian metric is taken to be Cartesian flat in appropriate coordinates. For these geometries, we verify the conjecture that causal discontinuity occurs if and only if the Morse index is 1 or n - 1.
Description: Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI: http://hdl.handle.net/2289/4550
ISSN: 0264-9381
1361-6382
Alternative Location: http://arxiv.org/abs/gr-qc/9901063
http://dx.doi.org/ 10.1088/0264-9381/16/11/303
http://adsabs.harvard.edu/abs/1999CQGra..16.3457B
Copyright: 1999, Institute of Physics
Appears in Collections:Research Papers (TP)

Files in This Item:

File Description SizeFormat
1999-CQG_V.16_p.3457.pdfRestricted Access346.72 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

    RRI Library DSpace