Dear Friends - Worm Holes and Cat Flaps
Table of contents
I Introduction
II Black Holes and big bangs in contrast p.2
III A black hole universe p.6
IV Gravitational collapse p.8
V Black hole escape velocity p.10
VI The radius of a black hole p.14
VII Metric 'extensions' p.20
VIII Black hole universes p.28
IX Big bang universes p.33
X Gravitational waves and conservation laws p.34
XI Functional analysis p.40
Appendix A: Gaussian curvature p.40
Appendix B: Riemannian curvature p.49
Appendix C: Acceleration invariant p.64
Appendix D: Isotropic coordinates p.67
Appendix E: The Kretschmann scalar p.92
Appendix F: Geodesic completeness p.97
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