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

Description

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