[help]how to obtain gravity eqution from gravity field Action S?

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Discussion Overview

The discussion revolves around the derivation of the gravity equation from the gravity field action S, with a specific focus on the calculus of variations. Participants seek detailed explanations and references to relevant literature.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • One participant requests a detailed derivation of the gravity equation from the gravity field action S, emphasizing the need for clarity in the calculus of variations.
  • Another participant suggests consulting Chapter 4 of "A Relativist's Toolkit" by Eric Poisson for a careful treatment of the topic.
  • Links to a research paper by Eric Poisson are provided, which may contain relevant information for the derivation.

Areas of Agreement / Disagreement

The discussion does not appear to have reached a consensus, as participants are sharing resources and suggestions rather than agreeing on a specific approach or solution.

Contextual Notes

Participants have not specified any assumptions or limitations regarding the derivation process or the applicability of the suggested resources.

Who May Find This Useful

This discussion may be useful for students or researchers interested in the mathematical foundations of general relativity and the calculus of variations in the context of gravitational theories.

zhushualbert
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could you please tell me how to obtain gravity equation from gravity field Action S as in detail as possible, especially the derivation of calculus of variations?
or you could point out some papers for me,
and thanks very very very very very very very very very much!
p.s. as in detail as possible! thanks!
 
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For a careful treatment, see Chapter 4, Lagrangian and Hamiltonian formulations of general relativity, of the book A Relativist's Toolkit by Eric Poisson.
 
http://www.physics.uoguelph.ca/poisson/research/agr.pdf
 
atyy said:
http://www.physics.uoguelph.ca/poisson/research/agr.pdf

Thanks so much!

learning!
 

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