General Relativity: In Acknowledgement Of Professor Gerardus ‘t Hooft, Nobel Laureate

Source: website by Stephen J. Crothers, — 100 p.
ABSTRACT
I extend my thanks to Professor Gerardus ‘t Hooft, Nobel Laureate in Physics, for making
more widely known my work on black hole theory, big bang cosmology, and Einstein’s
General Theory of Relativity, by means of his personal website, and for providing me
thereby with the opportunity to address the subject matter - supported by extensive
references to primary sources for further information - in relation to his many comments,
by means of this dedicated paper. The extensive mathematical appendices herein are not
prerequisite to understanding the text.Introduction
Black holes and big bangs in contrast)
A black hole universe)
Gravitational collapse)
Black hole escape velocity
The radius of a black hole
Metric ‘extensions’
Black hole universes
Big bang universes
Gravitational waves and conservation laws
Functional analysis
Appendices
Gaussian curvature
Riemannian curvature
Acceleration invariant
Isotropic coordinates
The Kretschmann scalar
Geodesic completeness