On metric-connection compatibility and the signature change of space-time

Details On metric-connection compatibility and the signature change of space-time On metric-connection compatibility and the signature change of space-time

1998-02-22

arxiv.org/abs/gr-qc/9802058v1

Physica Scripta, vol.66, No.6, pp.401-409, 2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 standard LaTeX 2e pages. The packages AMS-LaTeX and amsfonts are required

Scientific paper

10.1238/Physica.Regular.066a0040

We discuss and investigate the problem of existence of metric-compatible
linear connections for a given space-time metric which is, generally, assumed
to be semi-pseudo-Riemannian. We prove that under sufficiently general
conditions such connections exist iff the rank and signature of the metric are
constant. On this base we analyze possible changes of the space-time signature.

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