Derive Reissner Nordstrom Eq. (8) Explained

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Discussion Overview

The discussion centers on deriving the Reissner-Nordström solution, specifically focusing on understanding and interpreting Equation (8) from a referenced paper. Participants explore the implications of Einstein's equations in this context and seek clarification on the physical meaning of the equation.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses confusion about the rewriting of Einstein's equation in the context of Equation (8) and seeks clarification on its physical meaning.
  • Another participant suggests contracting both sides of a previous equation with ##g^{\mu\nu}## to derive a condition for ##R##.
  • A third participant acknowledges the simplicity of the previous suggestion, indicating a positive reception to the approach.
  • A fourth participant notes that the trace of the energy-momentum tensor for a classical massless field vanishes due to symmetry under dilations and encourages using the hint provided in the second post.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus, as participants are exploring different aspects of the derivation and interpretation without resolving the initial confusion expressed.

Contextual Notes

Participants reference specific equations and concepts without fully detailing the assumptions or definitions involved, which may limit understanding for those not familiar with the context.

darida
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I want to derive Reissner Nordstrom solution using this paper as a guide: http://gmammado.mysite.syr.edu/notes/RN_Metric.pdf, but I get confused by the Eq. (8). Why the Enstein's equation can be rewritten in that form and what is the physical meaning of the Eq. (8)?
 
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Contract both sides of (3) with ##g^{\mu\nu}## and you will get a condition for ##R##
 
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Ah thank you, that's so simple >_<
 
The trace of the energy-momentum tensor of a classical massless field vanishes because of symmetry under dilations. Now use the hint in #2.
 
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