Singularity Theorems: An Accessible Reference

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Discussion Overview

The discussion revolves around the search for accessible references on singularity theorems, particularly in relation to the Big Bang. Participants express a desire for materials that provide physical intuition and motivating definitions without requiring extensive prerequisite knowledge.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • One participant references Hawking's introduction to singularity theorems but seeks additional explanations and connections to the Big Bang.
  • Another participant questions the meaning of "accessible," clarifying whether it pertains to ease of understanding or availability without paywalls.
  • A participant confirms that "accessible" implies a need for materials that are understandable without extensive prior knowledge, emphasizing the importance of physical intuition over rigorous definitions.
  • It is noted that while Hawking and Ellis's main text is challenging, there is a suggestion that an introductory section provides a clearer geometric perspective on the singularity theorems.

Areas of Agreement / Disagreement

Participants generally agree on the need for accessible resources but have not reached a consensus on specific materials or definitions of accessibility.

Contextual Notes

Some limitations include the potential difficulty of existing texts and the varying interpretations of what constitutes "accessible" material.

jinawee
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I've read Hawking's introduction: http://arxiv.org/abs/hep-th/9409195v1, which are nice. I would like something that explains the other singularity theorems and how they are related to Big Bang. I've tried reading Hawking & Ellis but I can't understand most of the definitions.
 
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By "accessible" do you mean understandable without a lot of prerequisite knowledge, as opposed to accessible online and not paywalled?
 
bcrowell said:
By "accessible" do you mean understandable without a lot of prerequisite knowledge, as opposed to accessible online and not paywalled?

Yes. Motivating definitions, physical intuition, etc. But it doesn't have totally rigorous.
 
Although the main text of Hawking and Ellis is a pretty heavy slog, IIRC there is a very nice preview of the singularity theorems near the beginning of the book, which offered a pretty geometrically transparent argument.
 

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