Penrose Diagrams (An Introduction)
One of the limitations of the Kruskal Co-ordinates for space-time developed in the last video in this series (GR - 15), and of all such diagrams so far, is seen to be the limited region of space-time that they can depict. However, following yet another Co-ordinate Transformation, this video (GR - 16) discusses what are called “Penrose Diagrams”, which are capable of depicting all of space-time - out to infinity.
The use of Penrose Diagrams is explored very briefly, and only in a little detail, both for the space-time around a black hole, and for flat space-time.
This video is part of a series of videos on General Relativity (GR-01 to GR-20), which has been created to help someone who knows a little bit about “Newtonian Gravity” and “Special Relativity” to appreciate both the need for “General Relativity”, and for the way in which the ‘modelling’ of General Relativity helps to satisfy that need – in the physics sense.
The production of these videos has been very much a ‘one man band’ from start to finish (‘blank paper’ to ‘final videos’), and so there are bound to be a number of errors which have slipped through. It has not been possible, for example, to have them “proof-watched” by a second person. In that sense, I would be glad of any comments for corrections ……. though it may be some time before I get around to making any changes.
By ‘corrections and changes’ I clearly do not mean changes of approach. The approach is fixed – though some mistakes in formulae may have been missed in my reviewing of the final videos, or indeed some ‘approximate explanations’ may have been made which were not given sufficient ‘qualification’. Such changes (in formulae, equations and ‘qualifying statements’) could be made at some later date if they were felt to be necessary.
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